CINXE.COM

<!DOCTYPE html> <html class="client-nojs vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available" lang="sk" dir="ltr"> <head> <meta charset="UTF-8"> <title>Množina – Wikipédia</title> <script>(function(){var className="client-js vector-feature-language-in-header-enabled vector-feature-language-in-main-page-header-disabled vector-feature-sticky-header-disabled vector-feature-page-tools-pinned-disabled vector-feature-toc-pinned-clientpref-1 vector-feature-main-menu-pinned-disabled vector-feature-limited-width-clientpref-1 vector-feature-limited-width-content-enabled vector-feature-custom-font-size-clientpref-1 vector-feature-appearance-pinned-clientpref-1 vector-feature-night-mode-enabled skin-theme-clientpref-day vector-toc-available";var cookie=document.cookie.match(/(?:^|; )skwikimwclientpreferences=([^;]+)/);if(cookie){cookie[1].split('%2C').forEach(function(pref){className=className.replace(new RegExp('(^| )'+pref.replace(/-clientpref-\w+$|[^\w-]+/g,'')+'-clientpref-\\w+( |$)'),'$1'+pref+'$2');});}document.documentElement.className=className;}());RLCONF={"wgBreakFrames":false,"wgSeparatorTransformTable":[",\t."," \t,"],"wgDigitTransformTable":["",""], "wgDefaultDateFormat":"dmy","wgMonthNames":["","január","február","marec","apríl","máj","jún","júl","august","september","október","november","december"],"wgRequestId":"6886a077-1c4d-4355-901c-90db5538e75c","wgCanonicalNamespace":"","wgCanonicalSpecialPageName":false,"wgNamespaceNumber":0,"wgPageName":"Množina","wgTitle":"Množina","wgCurRevisionId":7850213,"wgRevisionId":7850213,"wgArticleId":18773,"wgIsArticle":true,"wgIsRedirect":false,"wgAction":"view","wgUserName":null,"wgUserGroups":["*"],"wgCategories":["Matematické výhonky","Teória množín","Logika"],"wgPageViewLanguage":"sk","wgPageContentLanguage":"sk","wgPageContentModel":"wikitext","wgRelevantPageName":"Množina","wgRelevantArticleId":18773,"wgIsProbablyEditable":true,"wgRelevantPageIsProbablyEditable":true,"wgRestrictionEdit":[],"wgRestrictionMove":[],"wgNoticeProject":"wikipedia","wgCiteReferencePreviewsActive":false,"wgMediaViewerOnClick":true,"wgMediaViewerEnabledByDefault":true,"wgPopupsFlags":0, "wgVisualEditor":{"pageLanguageCode":"sk","pageLanguageDir":"ltr","pageVariantFallbacks":"sk"},"wgMFDisplayWikibaseDescriptions":{"search":true,"watchlist":true,"tagline":true,"nearby":true},"wgWMESchemaEditAttemptStepOversample":false,"wgWMEPageLength":4000,"wgRelatedArticlesCompat":[],"wgCentralAuthMobileDomain":false,"wgEditSubmitButtonLabelPublish":true,"wgULSPosition":"interlanguage","wgULSisCompactLinksEnabled":false,"wgVector2022LanguageInHeader":true,"wgULSisLanguageSelectorEmpty":false,"wgWikibaseItemId":"Q36161","wgCheckUserClientHintsHeadersJsApi":["brands","architecture","bitness","fullVersionList","mobile","model","platform","platformVersion"],"GEHomepageSuggestedEditsEnableTopics":true,"wgGETopicsMatchModeEnabled":false,"wgGEStructuredTaskRejectionReasonTextInputEnabled":false,"wgGELevelingUpEnabledForUser":false,"wgSiteNoticeId":"2.2"};RLSTATE={"ext.globalCssJs.user.styles":"ready","site.styles":"ready","user.styles":"ready","ext.globalCssJs.user":"ready","user":"ready", "user.options":"loading","ext.math.styles":"ready","skins.vector.search.codex.styles":"ready","skins.vector.styles":"ready","skins.vector.icons":"ready","ext.wikimediamessages.styles":"ready","ext.visualEditor.desktopArticleTarget.noscript":"ready","ext.uls.interlanguage":"ready","wikibase.client.init":"ready","ext.wikimediaBadges":"ready","ext.dismissableSiteNotice.styles":"ready"};RLPAGEMODULES=["site","mediawiki.page.ready","mediawiki.toc","skins.vector.js","ext.centralNotice.geoIP","ext.centralNotice.startUp","ext.gadget.ReferenceTooltips","ext.gadget.WikiMiniAtlas","ext.gadget.edit-summaries","ext.urlShortener.toolbar","ext.centralauth.centralautologin","mmv.bootstrap","ext.popups","ext.visualEditor.desktopArticleTarget.init","ext.visualEditor.targetLoader","ext.echo.centralauth","ext.eventLogging","ext.wikimediaEvents","ext.navigationTiming","ext.uls.interface","ext.cx.eventlogging.campaigns","ext.cx.uls.quick.actions","wikibase.client.vector-2022","ext.checkUser.clientHints", "ext.growthExperiments.SuggestedEditSession","wikibase.sidebar.tracking","ext.dismissableSiteNotice"];</script> <script>(RLQ=window.RLQ||[]).push(function(){mw.loader.impl(function(){return["user.options@12s5i",function($,jQuery,require,module){mw.user.tokens.set({"patrolToken":"+\\","watchToken":"+\\","csrfToken":"+\\"}); }];});});</script> <link rel="stylesheet" href="/w/load.php?lang=sk&modules=ext.dismissableSiteNotice.styles%7Cext.math.styles%7Cext.uls.interlanguage%7Cext.visualEditor.desktopArticleTarget.noscript%7Cext.wikimediaBadges%7Cext.wikimediamessages.styles%7Cskins.vector.icons%2Cstyles%7Cskins.vector.search.codex.styles%7Cwikibase.client.init&only=styles&skin=vector-2022"> <script async="" src="/w/load.php?lang=sk&modules=startup&only=scripts&raw=1&skin=vector-2022"></script> <meta name="ResourceLoaderDynamicStyles" content=""> <link rel="stylesheet" href="/w/load.php?lang=sk&modules=site.styles&only=styles&skin=vector-2022"> <meta name="generator" content="MediaWiki 1.44.0-wmf.5"> <meta name="referrer" content="origin"> <meta name="referrer" content="origin-when-cross-origin"> <meta name="robots" content="max-image-preview:standard"> <meta name="format-detection" content="telephone=no"> <meta name="viewport" content="width=1120"> <meta property="og:title" content="Množina – Wikipédia"> <meta property="og:type" content="website"> <link rel="preconnect" href="//upload.wikimedia.org"> <link rel="alternate" media="only screen and (max-width: 640px)" href="//sk.m.wikipedia.org/wiki/Mno%C5%BEina"> <link rel="alternate" type="application/x-wiki" title="Upraviť" href="/w/index.php?title=Mno%C5%BEina&action=edit"> <link rel="apple-touch-icon" href="/static/apple-touch/wikipedia.png"> <link rel="icon" href="/static/favicon/wikipedia.ico"> <link rel="search" type="application/opensearchdescription+xml" href="/w/rest.php/v1/search" title="Wikipédia (sk)"> <link rel="EditURI" type="application/rsd+xml" href="//sk.wikipedia.org/w/api.php?action=rsd"> <link rel="canonical" href="https://sk.wikipedia.org/wiki/Mno%C5%BEina"> <link rel="license" href="https://creativecommons.org/licenses/by-sa/4.0/deed.sk"> <link rel="alternate" type="application/atom+xml" title="Atom kanál Wikipédia" href="/w/index.php?title=%C5%A0peci%C3%A1lne:Posledn%C3%A9%C3%9Apravy&feed=atom"> <link rel="dns-prefetch" href="//meta.wikimedia.org" /> <link rel="dns-prefetch" href="//login.wikimedia.org"> </head> <body class="skin--responsive skin-vector skin-vector-search-vue mediawiki ltr sitedir-ltr mw-hide-empty-elt ns-0 ns-subject mw-editable page-Množina rootpage-Množina skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Preskočiť na obsah</a> <div class="vector-header-container"> <header class="vector-header mw-header"> <div class="vector-header-start"> <nav class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-dropdown" class="vector-dropdown vector-main-menu-dropdown vector-button-flush-left vector-button-flush-right" > <input type="checkbox" id="vector-main-menu-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-main-menu-dropdown" class="vector-dropdown-checkbox " aria-label="Hlavné menu" > <label id="vector-main-menu-dropdown-label" for="vector-main-menu-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-menu mw-ui-icon-wikimedia-menu"></span> <span class="vector-dropdown-label-text">Hlavné menu</span> </label> <div class="vector-dropdown-content"> <div id="vector-main-menu-unpinned-container" class="vector-unpinned-container"> <div id="vector-main-menu" class="vector-main-menu vector-pinnable-element"> <div class="vector-pinnable-header vector-main-menu-pinnable-header vector-pinnable-header-unpinned" data-feature-name="main-menu-pinned" data-pinnable-element-id="vector-main-menu" data-pinned-container-id="vector-main-menu-pinned-container" data-unpinned-container-id="vector-main-menu-unpinned-container" > <div class="vector-pinnable-header-label">Hlavné menu</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">presunúť do postranného panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">skryť</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Navigácia </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/Hlavn%C3%A1_str%C3%A1nka" title="Navštíviť Hlavnú stránku [z]" accesskey="z"><span>Hlavná stránka</span></a></li><li id="n-portal" class="mw-list-item"><a href="/wiki/Wikip%C3%A9dia:Port%C3%A1l_komunity" title="O projekte, ako môžete prispieť, kde čo nájsť"><span>Portál komunity</span></a></li><li id="n-kaviaren" class="mw-list-item"><a href="/wiki/Wikip%C3%A9dia:Kaviare%C5%88"><span>Kaviareň</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:Posledn%C3%A9%C3%9Apravy" title="Zoznam posledných úprav na tejto wiki [r]" accesskey="r"><span>Posledné úpravy</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:N%C3%A1hodn%C3%A1" title="Zobraziť náhodnú stránku [x]" accesskey="x"><span>Náhodná stránka</span></a></li><li id="n-help" class="mw-list-item"><a href="https://sk.wikipedia.org/wiki/Pomoc:Obsah" title="Miesto, kde nájdete pomoc"><span>Pomocník</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> <a href="/wiki/Hlavn%C3%A1_str%C3%A1nka" class="mw-logo"> <img class="mw-logo-icon" src="/static/images/icons/wikipedia.png" alt="" aria-hidden="true" height="50" width="50"> <span class="mw-logo-container skin-invert"> <img class="mw-logo-wordmark" alt="Wikipédia" src="/static/images/mobile/copyright/wikipedia-wordmark-fr.svg" style="width: 7.4375em; height: 1.125em;"> <img class="mw-logo-tagline" alt="Slobodná encyklopédia" src="/static/images/mobile/copyright/wikipedia-tagline-sk.svg" width="118" height="13" style="width: 7.375em; height: 0.8125em;"> </span> </a> </div> <div class="vector-header-end"> <div id="p-search" role="search" class="vector-search-box-vue vector-search-box-collapses vector-search-box-show-thumbnail vector-search-box-auto-expand-width vector-search-box"> <a href="/wiki/%C5%A0peci%C3%A1lne:H%C4%BEadanie" class="cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only search-toggle" title="Vyhľadať na Wikipédia [f]" accesskey="f"><span class="vector-icon mw-ui-icon-search mw-ui-icon-wikimedia-search"></span> <span>Hľadať</span> </a> <div class="vector-typeahead-search-container"> <div class="cdx-typeahead-search cdx-typeahead-search--show-thumbnail cdx-typeahead-search--auto-expand-width"> <form action="/w/index.php" id="searchform" class="cdx-search-input cdx-search-input--has-end-button"> <div id="simpleSearch" class="cdx-search-input__input-wrapper" data-search-loc="header-moved"> <div class="cdx-text-input cdx-text-input--has-start-icon"> <input class="cdx-text-input__input" type="search" name="search" placeholder="Hľadať na Wikipédii" aria-label="Hľadať na Wikipédii" autocapitalize="sentences" title="Vyhľadať na Wikipédia [f]" accesskey="f" id="searchInput" > <span class="cdx-text-input__icon cdx-text-input__start-icon"></span> </div> <input type="hidden" name="title" value="Špeciálne:Hľadanie"> </div> <button class="cdx-button cdx-search-input__end-button">Hľadať</button> </form> </div> </div> </div> <nav class="vector-user-links vector-user-links-wide" aria-label="Osobné nástroje"> <div class="vector-user-links-main"> <div id="p-vector-user-menu-preferences" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-userpage" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <nav class="vector-appearance-landmark" aria-label="Vzhľad"> <div id="vector-appearance-dropdown" class="vector-dropdown " title="Zmeniť vzhľad veľkosti písma, šírky stránky a farby" > <input type="checkbox" id="vector-appearance-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-appearance-dropdown" class="vector-dropdown-checkbox " aria-label="Vzhľad" > <label id="vector-appearance-dropdown-label" for="vector-appearance-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-appearance mw-ui-icon-wikimedia-appearance"></span> <span class="vector-dropdown-label-text">Vzhľad</span> </label> <div class="vector-dropdown-content"> <div id="vector-appearance-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <div id="p-vector-user-menu-notifications" class="vector-menu mw-portlet emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> <div id="p-vector-user-menu-overflow" class="vector-menu mw-portlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sk.wikipedia.org&uselang=sk" class=""><span>Prispieť</span></a> </li> <li id="pt-createaccount-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%C5%A0peci%C3%A1lne:Vytvorenie%C3%9A%C4%8Dtu&returnto=Mno%C5%BEina" title="Odporúčame vytvoriť si vlastný účet a prihlásiť sa, nie je to však povinné." class=""><span>Vytvoriť účet</span></a> </li> <li id="pt-login-2" class="user-links-collapsible-item mw-list-item user-links-collapsible-item"><a data-mw="interface" href="/w/index.php?title=%C5%A0peci%C3%A1lne:Prihl%C3%A1seniePou%C5%BE%C3%ADvate%C4%BEa&returnto=Mno%C5%BEina" title="Odporúčame vám prihlásiť sa, nie je to však povinné. [o]" accesskey="o" class=""><span>Prihlásiť sa</span></a> </li> </ul> </div> </div> </div> <div id="vector-user-links-dropdown" class="vector-dropdown vector-user-menu vector-button-flush-right vector-user-menu-logged-out" title="Ďalšie možnosti" > <input type="checkbox" id="vector-user-links-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-user-links-dropdown" class="vector-dropdown-checkbox " aria-label="Osobné nástroje" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-ellipsis mw-ui-icon-wikimedia-ellipsis"></span> <span class="vector-dropdown-label-text">Osobné nástroje</span> </label> <div class="vector-dropdown-content"> <div id="p-personal" class="vector-menu mw-portlet mw-portlet-personal user-links-collapsible-item" title="Uživatelské menu" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-sitesupport" class="user-links-collapsible-item mw-list-item"><a href="//donate.wikimedia.org/wiki/Special:FundraiserRedirector?utm_source=donate&utm_medium=sidebar&utm_campaign=C13_sk.wikipedia.org&uselang=sk"><span>Prispieť</span></a></li><li id="pt-createaccount" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:Vytvorenie%C3%9A%C4%8Dtu&returnto=Mno%C5%BEina" title="Odporúčame vytvoriť si vlastný účet a prihlásiť sa, nie je to však povinné."><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Vytvoriť účet</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:Prihl%C3%A1seniePou%C5%BE%C3%ADvate%C4%BEa&returnto=Mno%C5%BEina" title="Odporúčame vám prihlásiť sa, nie je to však povinné. [o]" accesskey="o"><span class="vector-icon mw-ui-icon-logIn mw-ui-icon-wikimedia-logIn"></span> <span>Prihlásiť sa</span></a></li> </ul> </div> </div> <div id="p-user-menu-anon-editor" class="vector-menu mw-portlet mw-portlet-user-menu-anon-editor" > <div class="vector-menu-heading"> Stránky pre odhlásených redaktorov <a href="/wiki/Pomoc:%C3%9Avod" aria-label="Viac informácií o editovaní"><span>zistiť viac</span></a> </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="pt-anoncontribs" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:MojePr%C3%ADspevky" title="Zoznam úprav vykonaných z tejto IP adresy [y]" accesskey="y"><span>Príspevky</span></a></li><li id="pt-anontalk" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:MojaDiskusia" title="Diskusia o úpravách z tejto ip adresy [n]" accesskey="n"><span>Diskusia</span></a></li> </ul> </div> </div> </div> </div> </nav> </div> </header> </div> <div class="mw-page-container"> <div class="mw-page-container-inner"> <div class="vector-sitenotice-container"> <div id="siteNotice"><div id="mw-dismissablenotice-anonplace"></div><script>(function(){var node=document.getElementById("mw-dismissablenotice-anonplace");if(node){node.outerHTML="\u003Cdiv class=\"mw-dismissable-notice\"\u003E\u003Cdiv class=\"mw-dismissable-notice-close\"\u003E[\u003Ca tabindex=\"0\" role=\"button\"\u003Enezobrazovať\u003C/a\u003E]\u003C/div\u003E\u003Cdiv class=\"mw-dismissable-notice-body\"\u003E\u003C!-- CentralNotice --\u003E\u003Cdiv id=\"localNotice\" data-nosnippet=\"\"\u003E\u003Cdiv class=\"anonnotice\" lang=\"sk\" dir=\"ltr\"\u003E\u003Ctable width=\"100%\" class=\"skin-nightmode-reset-color\" style=\"background:var( --background-color-base, #FFF); color:#27408B;\"\u003E\n\n\u003Ctbody\u003E\u003Ctr valign=\"top\"\u003E\n\u003Ctd style=\"text-align:center;\"\u003E\u003Cdiv style=\"display: flex; text-align:center; border: 1px solid black;\" class=\"plainlinks\"\u003E\u003Cdiv style=\"padding-left:0.5em; padding-top:0.2em; margin-bottom: -0.4em;\"\u003E\u003Cfigure class=\"mw-halign-left\" typeof=\"mw:File\"\u003E\u003Ca href=\"/wiki/Wikip%C3%A9dia:%C3%81zijsk%C3%BD_mesiac_Wikip%C3%A9die\" title=\"Ázijský mesiac Wikipédie\"\u003E\u003Cimg alt=\"Ázijský mesiac Wikipédie\" src=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/WAM_logo_without_text.svg/38px-WAM_logo_without_text.svg.png\" decoding=\"async\" width=\"38\" height=\"41\" class=\"mw-file-element\" srcset=\"//upload.wikimedia.org/wikipedia/commons/thumb/1/1f/WAM_logo_without_text.svg/57px-WAM_logo_without_text.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1f/WAM_logo_without_text.svg/76px-WAM_logo_without_text.svg.png 2x\" data-file-width=\"800\" data-file-height=\"859\" /\u003E\u003C/a\u003E\u003Cfigcaption\u003EÁzijský mesiac Wikipédie\u003C/figcaption\u003E\u003C/figure\u003E\u003C/div\u003E\u003Cdiv style=\"text-align:center; flex: 1; margin: 0.2em 0;\"\u003E\u003Cbig\u003E\u003Cb\u003E\u003Ca href=\"/wiki/Wikip%C3%A9dia:%C3%81zijsk%C3%BD_mesiac_Wikip%C3%A9die_2024\" title=\"Wikipédia:Ázijský mesiac Wikipédie 2024\"\u003EÁzijský mesiac Wikipédie 2024\u003C/a\u003E\u003C/b\u003E\u003C/big\u003E\u003Cbr /\u003E\u003Cb\u003EZapojte sa a\u0026#160;získajte cenu\u003C/b\u003E\n\u003C/div\u003E\n\u003C/div\u003E\u003C/td\u003E\u003C/tr\u003E\u003C/tbody\u003E\u003C/table\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E";}}());</script></div> </div> <div class="vector-column-start"> <div class="vector-main-menu-container"> <div id="mw-navigation"> <nav id="mw-panel" class="vector-main-menu-landmark" aria-label="Projekt"> <div id="vector-main-menu-pinned-container" class="vector-pinned-container"> </div> </nav> </div> </div> <div class="vector-sticky-pinned-container"> <nav id="mw-panel-toc" aria-label="Obsah" data-event-name="ui.sidebar-toc" class="mw-table-of-contents-container vector-toc-landmark"> <div id="vector-toc-pinned-container" class="vector-pinned-container"> <div id="vector-toc" class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Obsah</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">presunúť do postranného panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">skryť</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Začiatok</div> </a> </li> <li id="toc-Triedenie_množín" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Triedenie_množín"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Triedenie množín</span> </div> </a> <ul id="toc-Triedenie_množín-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Určenie_množín" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Určenie_množín"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Určenie množín</span> </div> </a> <button aria-controls="toc-Určenie_množín-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Přepnout podsekci Určenie množín</span> </button> <ul id="toc-Určenie_množín-sublist" class="vector-toc-list"> <li id="toc-Množiny_čísel" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Množiny_čísel"> <div class="vector-toc-text"> <span class="vector-toc-numb">2.1</span> <span>Množiny čísel</span> </div> </a> <ul id="toc-Množiny_čísel-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Vzťahy_medzi_množinami" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Vzťahy_medzi_množinami"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Vzťahy medzi množinami</span> </div> </a> <ul id="toc-Vzťahy_medzi_množinami-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Grafické_znázornenie_množín" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Grafické_znázornenie_množín"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Grafické znázornenie množín</span> </div> </a> <ul id="toc-Grafické_znázornenie_množín-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Množinové_operácie" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Množinové_operácie"> <div class="vector-toc-text"> <span class="vector-toc-numb">5</span> <span>Množinové operácie</span> </div> </a> <button aria-controls="toc-Množinové_operácie-sublist" class="cdx-button cdx-button--weight-quiet cdx-button--icon-only vector-toc-toggle"> <span class="vector-icon mw-ui-icon-wikimedia-expand"></span> <span>Přepnout podsekci Množinové operácie</span> </button> <ul id="toc-Množinové_operácie-sublist" class="vector-toc-list"> <li id="toc-Mohutnosť" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Mohutnosť"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.1</span> <span>Mohutnosť</span> </div> </a> <ul id="toc-Mohutnosť-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Zjednotenie" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Zjednotenie"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.2</span> <span>Zjednotenie</span> </div> </a> <ul id="toc-Zjednotenie-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Prienik" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Prienik"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.3</span> <span>Prienik</span> </div> </a> <ul id="toc-Prienik-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Rozdiel" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Rozdiel"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.4</span> <span>Rozdiel</span> </div> </a> <ul id="toc-Rozdiel-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Doplnok_(komplement)" class="vector-toc-list-item vector-toc-level-2"> <a class="vector-toc-link" href="#Doplnok_(komplement)"> <div class="vector-toc-text"> <span class="vector-toc-numb">5.5</span> <span>Doplnok (komplement)</span> </div> </a> <ul id="toc-Doplnok_(komplement)-sublist" class="vector-toc-list"> </ul> </li> </ul> </li> <li id="toc-Externé_odkazy" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Externé_odkazy"> <div class="vector-toc-text"> <span class="vector-toc-numb">6</span> <span>Externé odkazy</span> </div> </a> <ul id="toc-Externé_odkazy-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Obsah" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Prepnúť obsah" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Prepnúť obsah</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Množina</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Prejsť na článok v inom jazyku. Je dostupný v 102 jazykoch" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-102" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">102 jazykov</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-als mw-list-item"><a href="https://als.wikipedia.org/wiki/Menge_(Mathematik)" title="Menge (Mathematik) – nemčina (švajčiarska)" lang="gsw" hreflang="gsw" data-title="Menge (Mathematik)" data-language-autonym="Alemannisch" data-language-local-name="nemčina (švajčiarska)" class="interlanguage-link-target"><span>Alemannisch</span></a></li><li class="interlanguage-link interwiki-am mw-list-item"><a href="https://am.wikipedia.org/wiki/%E1%88%B5%E1%89%A5%E1%88%B5%E1%89%A5" title="ስብስብ – amharčina" lang="am" hreflang="am" data-title="ስብስብ" data-language-autonym="አማርኛ" data-language-local-name="amharčina" class="interlanguage-link-target"><span>አማርኛ</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D8%AC%D9%85%D9%88%D8%B9%D8%A9_(%D8%B1%D9%8A%D8%A7%D8%B6%D9%8A%D8%A7%D8%AA)" title="مجموعة (رياضيات) – arabčina" lang="ar" hreflang="ar" data-title="مجموعة (رياضيات)" data-language-autonym="العربية" data-language-local-name="arabčina" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Conxuntu" title="Conxuntu – astúrčina" lang="ast" hreflang="ast" data-title="Conxuntu" data-language-autonym="Asturianu" data-language-local-name="astúrčina" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/%C3%87oxluqlar" title="Çoxluqlar – azerbajdžančina" lang="az" hreflang="az" data-title="Çoxluqlar" data-language-autonym="Azərbaycanca" data-language-local-name="azerbajdžančina" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-ba mw-list-item"><a href="https://ba.wikipedia.org/wiki/%D0%9A%D2%AF%D0%BC%D3%99%D0%BA%D0%BB%D0%B5%D0%BA" title="Күмәклек – baškirčina" lang="ba" hreflang="ba" data-title="Күмәклек" data-language-autonym="Башҡортса" data-language-local-name="baškirčina" class="interlanguage-link-target"><span>Башҡортса</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D1%81%D1%82%D0%B2%D0%B0" title="Мноства – bieloruština" lang="be" hreflang="be" data-title="Мноства" data-language-autonym="Беларуская" data-language-local-name="bieloruština" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D1%81%D1%82%D0%B2%D0%B0" title="Мноства – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Мноства" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%BE" title="Множество – bulharčina" lang="bg" hreflang="bg" data-title="Множество" data-language-autonym="Български" data-language-local-name="bulharčina" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A7%87%E0%A6%9F" title="সেট – bengálčina" lang="bn" hreflang="bn" data-title="সেট" data-language-autonym="বাংলা" data-language-local-name="bengálčina" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-bs mw-list-item"><a href="https://bs.wikipedia.org/wiki/Skup_(matematika)" title="Skup (matematika) – bosniačtina" lang="bs" hreflang="bs" data-title="Skup (matematika)" data-language-autonym="Bosanski" data-language-local-name="bosniačtina" class="interlanguage-link-target"><span>Bosanski</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Conjunt" title="Conjunt – katalánčina" lang="ca" hreflang="ca" data-title="Conjunt" data-language-autonym="Català" data-language-local-name="katalánčina" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%DA%A9%DB%86%D9%85%DB%95%DA%B5%DB%95_(%D9%85%D8%A7%D8%AA%D9%85%D8%A7%D8%AA%DB%8C%DA%A9)" title="کۆمەڵە (ماتماتیک) – kurdčina (sorání)" lang="ckb" hreflang="ckb" data-title="کۆمەڵە (ماتماتیک)" data-language-autonym="کوردی" data-language-local-name="kurdčina (sorání)" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Mno%C5%BEina" title="Množina – čeština" lang="cs" hreflang="cs" data-title="Množina" data-language-autonym="Čeština" data-language-local-name="čeština" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%99%D1%8B%D1%88" title="Йыш – čuvaština" lang="cv" hreflang="cv" data-title="Йыш" data-language-autonym="Чӑвашла" data-language-local-name="čuvaština" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Set_(mathemateg)" title="Set (mathemateg) – waleština" lang="cy" hreflang="cy" data-title="Set (mathemateg)" data-language-autonym="Cymraeg" data-language-local-name="waleština" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-da mw-list-item"><a href="https://da.wikipedia.org/wiki/M%C3%A6ngde" title="Mængde – dánčina" lang="da" hreflang="da" data-title="Mængde" data-language-autonym="Dansk" data-language-local-name="dánčina" class="interlanguage-link-target"><span>Dansk</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Menge_(Mathematik)" title="Menge (Mathematik) – nemčina" lang="de" hreflang="de" data-title="Menge (Mathematik)" data-language-autonym="Deutsch" data-language-local-name="nemčina" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A3%CF%8D%CE%BD%CE%BF%CE%BB%CE%BF" title="Σύνολο – gréčtina" lang="el" hreflang="el" data-title="Σύνολο" data-language-autonym="Ελληνικά" data-language-local-name="gréčtina" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Set_(mathematics)" title="Set (mathematics) – angličtina" lang="en" hreflang="en" data-title="Set (mathematics)" data-language-autonym="English" data-language-local-name="angličtina" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Aro_(matematiko)" title="Aro (matematiko) – esperanto" lang="eo" hreflang="eo" data-title="Aro (matematiko)" data-language-autonym="Esperanto" data-language-local-name="esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Conjunto" title="Conjunto – španielčina" lang="es" hreflang="es" data-title="Conjunto" data-language-autonym="Español" data-language-local-name="španielčina" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Hulk" title="Hulk – estónčina" lang="et" hreflang="et" data-title="Hulk" data-language-autonym="Eesti" data-language-local-name="estónčina" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Multzo" title="Multzo – baskičtina" lang="eu" hreflang="eu" data-title="Multzo" data-language-autonym="Euskara" data-language-local-name="baskičtina" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C%D8%A7%D8%AA)" title="مجموعه (ریاضیات) – perzština" lang="fa" hreflang="fa" data-title="مجموعه (ریاضیات)" data-language-autonym="فارسی" data-language-local-name="perzština" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Joukko" title="Joukko – fínčina" lang="fi" hreflang="fi" data-title="Joukko" data-language-autonym="Suomi" data-language-local-name="fínčina" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fiu-vro mw-list-item"><a href="https://fiu-vro.wikipedia.org/wiki/Hulk" title="Hulk – võruština" lang="vro" hreflang="vro" data-title="Hulk" data-language-autonym="Võro" data-language-local-name="võruština" class="interlanguage-link-target"><span>Võro</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Ensemble" title="Ensemble – francúzština" lang="fr" hreflang="fr" data-title="Ensemble" data-language-autonym="Français" data-language-local-name="francúzština" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Insiemi" title="Insiemi – friulčina" lang="fur" hreflang="fur" data-title="Insiemi" data-language-autonym="Furlan" data-language-local-name="friulčina" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-ga mw-list-item"><a href="https://ga.wikipedia.org/wiki/Tacar" title="Tacar – írčina" lang="ga" hreflang="ga" data-title="Tacar" data-language-autonym="Gaeilge" data-language-local-name="írčina" class="interlanguage-link-target"><span>Gaeilge</span></a></li><li class="interlanguage-link interwiki-gan mw-list-item"><a href="https://gan.wikipedia.org/wiki/%E9%9B%86%E5%90%88" title="集合 – čínština (dialekty Gan)" lang="gan" hreflang="gan" data-title="集合" data-language-autonym="贛語" data-language-local-name="čínština (dialekty Gan)" class="interlanguage-link-target"><span>贛語</span></a></li><li class="interlanguage-link interwiki-gcr mw-list-item"><a href="https://gcr.wikipedia.org/wiki/Ansanm" title="Ansanm – Guianan Creole" lang="gcr" hreflang="gcr" data-title="Ansanm" data-language-autonym="Kriyòl gwiyannen" data-language-local-name="Guianan Creole" class="interlanguage-link-target"><span>Kriyòl gwiyannen</span></a></li><li class="interlanguage-link interwiki-gd mw-list-item"><a href="https://gd.wikipedia.org/wiki/Seata" title="Seata – škótska gaelčina" lang="gd" hreflang="gd" data-title="Seata" data-language-autonym="Gàidhlig" data-language-local-name="škótska gaelčina" class="interlanguage-link-target"><span>Gàidhlig</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Conxunto" title="Conxunto – galícijčina" lang="gl" hreflang="gl" data-title="Conxunto" data-language-autonym="Galego" data-language-local-name="galícijčina" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A7%D7%91%D7%95%D7%A6%D7%94_(%D7%9E%D7%AA%D7%9E%D7%98%D7%99%D7%A7%D7%94)" title="קבוצה (מתמטיקה) – hebrejčina" lang="he" hreflang="he" data-title="קבוצה (מתמטיקה)" data-language-autonym="עברית" data-language-local-name="hebrejčina" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hi mw-list-item"><a href="https://hi.wikipedia.org/wiki/%E0%A4%B8%E0%A4%AE%E0%A5%81%E0%A4%9A%E0%A5%8D%E0%A4%9A%E0%A4%AF_(%E0%A4%97%E0%A4%A3%E0%A4%BF%E0%A4%A4)" title="समुच्चय (गणित) – hindčina" lang="hi" hreflang="hi" data-title="समुच्चय (गणित)" data-language-autonym="हिन्दी" data-language-local-name="hindčina" class="interlanguage-link-target"><span>हिन्दी</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Skup" title="Skup – chorvátčina" lang="hr" hreflang="hr" data-title="Skup" data-language-autonym="Hrvatski" data-language-local-name="chorvátčina" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Halmaz_(matematika)" title="Halmaz (matematika) – maďarčina" lang="hu" hreflang="hu" data-title="Halmaz (matematika)" data-language-autonym="Magyar" data-language-local-name="maďarčina" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D4%B2%D5%A1%D5%A6%D5%B4%D5%B8%D6%82%D5%A9%D5%B5%D5%B8%D6%82%D5%B6" title="Բազմություն – arménčina" lang="hy" hreflang="hy" data-title="Բազմություն" data-language-autonym="Հայերեն" data-language-local-name="arménčina" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-ia mw-list-item"><a href="https://ia.wikipedia.org/wiki/Insimul" title="Insimul – interlingua" lang="ia" hreflang="ia" data-title="Insimul" data-language-autonym="Interlingua" data-language-local-name="interlingua" class="interlanguage-link-target"><span>Interlingua</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Himpunan_(matematika)" title="Himpunan (matematika) – indonézština" lang="id" hreflang="id" data-title="Himpunan (matematika)" data-language-autonym="Bahasa Indonesia" data-language-local-name="indonézština" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-io mw-list-item"><a href="https://io.wikipedia.org/wiki/Ensemblo" title="Ensemblo – ido" lang="io" hreflang="io" data-title="Ensemblo" data-language-autonym="Ido" data-language-local-name="ido" class="interlanguage-link-target"><span>Ido</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Mengi" title="Mengi – islandčina" lang="is" hreflang="is" data-title="Mengi" data-language-autonym="Íslenska" data-language-local-name="islandčina" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Insieme" title="Insieme – taliančina" lang="it" hreflang="it" data-title="Insieme" data-language-autonym="Italiano" data-language-local-name="taliančina" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E9%9B%86%E5%90%88" title="集合 – japončina" lang="ja" hreflang="ja" data-title="集合" data-language-autonym="日本語" data-language-local-name="japončina" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-jam mw-list-item"><a href="https://jam.wikipedia.org/wiki/Set_(matimatix)" title="Set (matimatix) – jamajská kreolština" lang="jam" hreflang="jam" data-title="Set (matimatix)" data-language-autonym="Patois" data-language-local-name="jamajská kreolština" class="interlanguage-link-target"><span>Patois</span></a></li><li class="interlanguage-link interwiki-ka mw-list-item"><a href="https://ka.wikipedia.org/wiki/%E1%83%A1%E1%83%98%E1%83%9B%E1%83%A0%E1%83%90%E1%83%95%E1%83%9A%E1%83%94" title="სიმრავლე – gruzínčina" lang="ka" hreflang="ka" data-title="სიმრავლე" data-language-autonym="ქართული" data-language-local-name="gruzínčina" class="interlanguage-link-target"><span>ქართული</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%91%D3%A9%D0%BB%D1%96%D0%BA" title="Бөлік – kazaština" lang="kk" hreflang="kk" data-title="Бөлік" data-language-autonym="Қазақша" data-language-local-name="kazaština" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%97%E0%B2%A3_(%E0%B2%97%E0%B2%A3%E0%B2%BF%E0%B2%A4)" title="ಗಣ (ಗಣಿತ) – kannadčina" lang="kn" hreflang="kn" data-title="ಗಣ (ಗಣಿತ)" data-language-autonym="ಕನ್ನಡ" data-language-local-name="kannadčina" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%A7%91%ED%95%A9" title="집합 – kórejčina" lang="ko" hreflang="ko" data-title="집합" data-language-autonym="한국어" data-language-local-name="kórejčina" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-ku mw-list-item"><a href="https://ku.wikipedia.org/wiki/Kom" title="Kom – kurdčina" lang="ku" hreflang="ku" data-title="Kom" data-language-autonym="Kurdî" data-language-local-name="kurdčina" class="interlanguage-link-target"><span>Kurdî</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Copia" title="Copia – latinčina" lang="la" hreflang="la" data-title="Copia" data-language-autonym="Latina" data-language-local-name="latinčina" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lmo mw-list-item"><a href="https://lmo.wikipedia.org/wiki/Insemma" title="Insemma – lombardština" lang="lmo" hreflang="lmo" data-title="Insemma" data-language-autonym="Lombard" data-language-local-name="lombardština" class="interlanguage-link-target"><span>Lombard</span></a></li><li class="interlanguage-link interwiki-ln mw-list-item"><a href="https://ln.wikipedia.org/wiki/El%C9%94ng%C9%94%CC%81t%C9%9B%CC%82_lisang%C3%A1" title="Elɔngɔ́tɛ̂ lisangá – lingalčina" lang="ln" hreflang="ln" data-title="Elɔngɔ́tɛ̂ lisangá" data-language-autonym="Lingála" data-language-local-name="lingalčina" class="interlanguage-link-target"><span>Lingála</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Aib%C4%97" title="Aibė – litovčina" lang="lt" hreflang="lt" data-title="Aibė" data-language-autonym="Lietuvių" data-language-local-name="litovčina" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Kopa" title="Kopa – lotyština" lang="lv" hreflang="lv" data-title="Kopa" data-language-autonym="Latviešu" data-language-local-name="lotyština" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%BE" title="Множество – macedónčina" lang="mk" hreflang="mk" data-title="Множество" data-language-autonym="Македонски" data-language-local-name="macedónčina" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-ml mw-list-item"><a href="https://ml.wikipedia.org/wiki/%E0%B4%97%E0%B4%A3%E0%B4%82_(%E0%B4%97%E0%B4%A3%E0%B4%BF%E0%B4%A4%E0%B4%82)" title="ഗണം (ഗണിതം) – malajálamčina" lang="ml" hreflang="ml" data-title="ഗണം (ഗണിതം)" data-language-autonym="മലയാളം" data-language-local-name="malajálamčina" class="interlanguage-link-target"><span>മലയാളം</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%9E%D0%BB%D0%BE%D0%BD%D0%BB%D0%BE%D0%B3" title="Олонлог – mongolčina" lang="mn" hreflang="mn" data-title="Олонлог" data-language-autonym="Монгол" data-language-local-name="mongolčina" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-ms mw-list-item"><a href="https://ms.wikipedia.org/wiki/Set" title="Set – malajčina" lang="ms" hreflang="ms" data-title="Set" data-language-autonym="Bahasa Melayu" data-language-local-name="malajčina" class="interlanguage-link-target"><span>Bahasa Melayu</span></a></li><li class="interlanguage-link interwiki-my mw-list-item"><a href="https://my.wikipedia.org/wiki/%E1%80%A1%E1%80%85%E1%80%AF" title="အစု – barmčina" lang="my" hreflang="my" data-title="အစု" data-language-autonym="မြန်မာဘာသာ" data-language-local-name="barmčina" class="interlanguage-link-target"><span>မြန်မာဘာသာ</span></a></li><li class="interlanguage-link interwiki-myv mw-list-item"><a href="https://myv.wikipedia.org/wiki/%D0%92%D0%B5%D0%B9%D1%81%D1%81%D0%B0%D0%B5%D0%B2%D0%BA%D1%81" title="Вейссаевкс – erzjančina" lang="myv" hreflang="myv" data-title="Вейссаевкс" data-language-autonym="Эрзянь" data-language-local-name="erzjančina" class="interlanguage-link-target"><span>Эрзянь</span></a></li><li class="interlanguage-link interwiki-nds mw-list-item"><a href="https://nds.wikipedia.org/wiki/Koppel_(Mathematik)" title="Koppel (Mathematik) – dolná nemčina" lang="nds" hreflang="nds" data-title="Koppel (Mathematik)" data-language-autonym="Plattdüütsch" data-language-local-name="dolná nemčina" class="interlanguage-link-target"><span>Plattdüütsch</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Verzameling_(wiskunde)" title="Verzameling (wiskunde) – holandčina" lang="nl" hreflang="nl" data-title="Verzameling (wiskunde)" data-language-autonym="Nederlands" data-language-local-name="holandčina" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Mengd" title="Mengd – nórčina (nynorsk)" lang="nn" hreflang="nn" data-title="Mengd" data-language-autonym="Norsk nynorsk" data-language-local-name="nórčina (nynorsk)" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Mengde" title="Mengde – nórčina (bokmal)" lang="nb" hreflang="nb" data-title="Mengde" data-language-autonym="Norsk bokmål" data-language-local-name="nórčina (bokmal)" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-nov mw-list-item"><a href="https://nov.wikipedia.org/wiki/Ensemble" title="Ensemble – novial" lang="nov" hreflang="nov" data-title="Ensemble" data-language-autonym="Novial" data-language-local-name="novial" class="interlanguage-link-target"><span>Novial</span></a></li><li class="interlanguage-link interwiki-oc mw-list-item"><a href="https://oc.wikipedia.org/wiki/Ensemble" title="Ensemble – okcitánčina" lang="oc" hreflang="oc" data-title="Ensemble" data-language-autonym="Occitan" data-language-local-name="okcitánčina" class="interlanguage-link-target"><span>Occitan</span></a></li><li class="interlanguage-link interwiki-pa mw-list-item"><a href="https://pa.wikipedia.org/wiki/%E0%A8%B8%E0%A9%88%E0%A9%B1%E0%A8%9F_(%E0%A8%97%E0%A8%A3%E0%A8%BF%E0%A8%A4)" title="ਸੈੱਟ (ਗਣਿਤ) – pandžábčina" lang="pa" hreflang="pa" data-title="ਸੈੱਟ (ਗਣਿਤ)" data-language-autonym="ਪੰਜਾਬੀ" data-language-local-name="pandžábčina" class="interlanguage-link-target"><span>ਪੰਜਾਬੀ</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Zbi%C3%B3r" title="Zbiór – poľština" lang="pl" hreflang="pl" data-title="Zbiór" data-language-autonym="Polski" data-language-local-name="poľština" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Ansem" title="Ansem – piemonština" lang="pms" hreflang="pms" data-title="Ansem" data-language-autonym="Piemontèis" data-language-local-name="piemonština" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Conjunto" title="Conjunto – portugalčina" lang="pt" hreflang="pt" data-title="Conjunto" data-language-autonym="Português" data-language-local-name="portugalčina" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-qu mw-list-item"><a href="https://qu.wikipedia.org/wiki/Tantachisqa" title="Tantachisqa – kečuánčina" lang="qu" hreflang="qu" data-title="Tantachisqa" data-language-autonym="Runa Simi" data-language-local-name="kečuánčina" class="interlanguage-link-target"><span>Runa Simi</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Mul%C8%9Bime" title="Mulțime – rumunčina" lang="ro" hreflang="ro" data-title="Mulțime" data-language-autonym="Română" data-language-local-name="rumunčina" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2%D0%BE" title="Множество – ruština" lang="ru" hreflang="ru" data-title="Множество" data-language-autonym="Русский" data-language-local-name="ruština" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Nzemi" title="Nzemi – sicílčina" lang="scn" hreflang="scn" data-title="Nzemi" data-language-autonym="Sicilianu" data-language-local-name="sicílčina" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sh mw-list-item"><a href="https://sh.wikipedia.org/wiki/Skup" title="Skup – srbochorvátčina" lang="sh" hreflang="sh" data-title="Skup" data-language-autonym="Srpskohrvatski / српскохрватски" data-language-local-name="srbochorvátčina" class="interlanguage-link-target"><span>Srpskohrvatski / српскохрватски</span></a></li><li class="interlanguage-link interwiki-simple mw-list-item"><a href="https://simple.wikipedia.org/wiki/Set" title="Set – Simple English" lang="en-simple" hreflang="en-simple" data-title="Set" data-language-autonym="Simple English" data-language-local-name="Simple English" class="interlanguage-link-target"><span>Simple English</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Mno%C5%BEica" title="Množica – slovinčina" lang="sl" hreflang="sl" data-title="Množica" data-language-autonym="Slovenščina" data-language-local-name="slovinčina" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-so mw-list-item"><a href="https://so.wikipedia.org/wiki/Qaybta_(xisaab)" title="Qaybta (xisaab) – somálčina" lang="so" hreflang="so" data-title="Qaybta (xisaab)" data-language-autonym="Soomaaliga" data-language-local-name="somálčina" class="interlanguage-link-target"><span>Soomaaliga</span></a></li><li class="interlanguage-link interwiki-sq mw-list-item"><a href="https://sq.wikipedia.org/wiki/Bashk%C3%ABsit%C3%AB" title="Bashkësitë – albánčina" lang="sq" hreflang="sq" data-title="Bashkësitë" data-language-autonym="Shqip" data-language-local-name="albánčina" class="interlanguage-link-target"><span>Shqip</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/%D0%A1%D0%BA%D1%83%D0%BF" title="Скуп – srbčina" lang="sr" hreflang="sr" data-title="Скуп" data-language-autonym="Српски / srpski" data-language-local-name="srbčina" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/M%C3%A4ngd" title="Mängd – švédčina" lang="sv" hreflang="sv" data-title="Mängd" data-language-autonym="Svenska" data-language-local-name="švédčina" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-szl mw-list-item"><a href="https://szl.wikipedia.org/wiki/Mynga_(matymatyka)" title="Mynga (matymatyka) – slezština" lang="szl" hreflang="szl" data-title="Mynga (matymatyka)" data-language-autonym="Ślůnski" data-language-local-name="slezština" class="interlanguage-link-target"><span>Ślůnski</span></a></li><li class="interlanguage-link interwiki-ta mw-list-item"><a href="https://ta.wikipedia.org/wiki/%E0%AE%95%E0%AE%A3%E0%AE%AE%E0%AF%8D_(%E0%AE%95%E0%AE%A3%E0%AE%BF%E0%AE%A4%E0%AE%AE%E0%AF%8D)" title="கணம் (கணிதம்) – tamilčina" lang="ta" hreflang="ta" data-title="கணம் (கணிதம்)" data-language-autonym="தமிழ்" data-language-local-name="tamilčina" class="interlanguage-link-target"><span>தமிழ்</span></a></li><li class="interlanguage-link interwiki-te mw-list-item"><a href="https://te.wikipedia.org/wiki/%E0%B0%B8%E0%B0%AE%E0%B0%BF%E0%B0%A4%E0%B1%81%E0%B0%B2%E0%B1%81" title="సమితులు – telugčina" lang="te" hreflang="te" data-title="సమితులు" data-language-autonym="తెలుగు" data-language-local-name="telugčina" class="interlanguage-link-target"><span>తెలుగు</span></a></li><li class="interlanguage-link interwiki-th mw-list-item"><a href="https://th.wikipedia.org/wiki/%E0%B9%80%E0%B8%8B%E0%B8%95_(%E0%B8%84%E0%B8%93%E0%B8%B4%E0%B8%95%E0%B8%A8%E0%B8%B2%E0%B8%AA%E0%B8%95%E0%B8%A3%E0%B9%8C)" title="เซต (คณิตศาสตร์) – thajčina" lang="th" hreflang="th" data-title="เซต (คณิตศาสตร์)" data-language-autonym="ไทย" data-language-local-name="thajčina" class="interlanguage-link-target"><span>ไทย</span></a></li><li class="interlanguage-link interwiki-tl mw-list-item"><a href="https://tl.wikipedia.org/wiki/Pangkat_(matematika)" title="Pangkat (matematika) – tagalčina" lang="tl" hreflang="tl" data-title="Pangkat (matematika)" data-language-autonym="Tagalog" data-language-local-name="tagalčina" class="interlanguage-link-target"><span>Tagalog</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/K%C3%BCme" title="Küme – turečtina" lang="tr" hreflang="tr" data-title="Küme" data-language-autonym="Türkçe" data-language-local-name="turečtina" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%BD%D0%BE%D0%B6%D0%B8%D0%BD%D0%B0" title="Множина – ukrajinčina" lang="uk" hreflang="uk" data-title="Множина" data-language-autonym="Українська" data-language-local-name="ukrajinčina" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-ur mw-list-item"><a href="https://ur.wikipedia.org/wiki/%D8%B7%D8%A7%D9%82%D9%85_(%D8%B1%DB%8C%D8%A7%D8%B6%DB%8C)" title="طاقم (ریاضی) – urdčina" lang="ur" hreflang="ur" data-title="طاقم (ریاضی)" data-language-autonym="اردو" data-language-local-name="urdčina" class="interlanguage-link-target"><span>اردو</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/To%CA%BBplam_(matematika)" title="Toʻplam (matematika) – uzbečtina" lang="uz" hreflang="uz" data-title="Toʻplam (matematika)" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="uzbečtina" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/T%E1%BA%ADp_h%E1%BB%A3p_(to%C3%A1n_h%E1%BB%8Dc)" title="Tập hợp (toán học) – vietnamčina" lang="vi" hreflang="vi" data-title="Tập hợp (toán học)" data-language-autonym="Tiếng Việt" data-language-local-name="vietnamčina" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-vls mw-list-item"><a href="https://vls.wikipedia.org/wiki/Verzoamelienge" title="Verzoamelienge – vlámština (západní)" lang="vls" hreflang="vls" data-title="Verzoamelienge" data-language-autonym="West-Vlams" data-language-local-name="vlámština (západní)" class="interlanguage-link-target"><span>West-Vlams</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E9%9B%86%E5%90%88%EF%BC%88%E6%95%B0%E5%AD%A6%EF%BC%89" title="集合（数学） – čínština (wu)" lang="wuu" hreflang="wuu" data-title="集合（数学）" data-language-autonym="吴语" data-language-local-name="čínština (wu)" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xal mw-list-item"><a href="https://xal.wikipedia.org/wiki/%D0%9E%D0%BB%D0%BD" title="Олн – kalmyčtina" lang="xal" hreflang="xal" data-title="Олн" data-language-autonym="Хальмг" data-language-local-name="kalmyčtina" class="interlanguage-link-target"><span>Хальмг</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%9B%E1%83%98%E1%83%90%E1%83%A0%E1%83%94" title="მიარე – mingrelština" lang="xmf" hreflang="xmf" data-title="მიარე" data-language-autonym="მარგალური" data-language-local-name="mingrelština" class="interlanguage-link-target"><span>მარგალური</span></a></li><li class="interlanguage-link interwiki-yi mw-list-item"><a href="https://yi.wikipedia.org/wiki/%D7%92%D7%A2%D7%96%D7%A2%D7%9E%D7%9C_(%D7%9E%D7%90%D7%98%D7%A2%D7%9E%D7%90%D7%98%D7%99%D7%A7)" title="געזעמל (מאטעמאטיק) – jidiš" lang="yi" hreflang="yi" data-title="געזעמל (מאטעמאטיק)" data-language-autonym="ייִדיש" data-language-local-name="jidiš" class="interlanguage-link-target"><span>ייִדיש</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E9%9B%86%E5%90%88_(%E6%95%B0%E5%AD%A6)" title="集合 (数学) – čínština" lang="zh" hreflang="zh" data-title="集合 (数学)" data-language-autonym="中文" data-language-local-name="čínština" class="interlanguage-link-target"><span>中文</span></a></li><li class="interlanguage-link interwiki-zh-classical mw-list-item"><a href="https://zh-classical.wikipedia.org/wiki/%E9%9B%86" title="集 – čínština (klasická)" lang="lzh" hreflang="lzh" data-title="集" data-language-autonym="文言" data-language-local-name="čínština (klasická)" class="interlanguage-link-target"><span>文言</span></a></li><li class="interlanguage-link interwiki-zh-min-nan mw-list-item"><a href="https://zh-min-nan.wikipedia.org/wiki/Chi%CC%8Dp-ha%CC%8Dp" title="Chi̍p-ha̍p – čínština (dialekty Minnan)" lang="nan" hreflang="nan" data-title="Chi̍p-ha̍p" data-language-autonym="閩南語 / Bân-lâm-gú" data-language-local-name="čínština (dialekty Minnan)" class="interlanguage-link-target"><span>閩南語 / Bân-lâm-gú</span></a></li><li class="interlanguage-link interwiki-zh-yue mw-list-item"><a href="https://zh-yue.wikipedia.org/wiki/%E9%9B%86%E5%90%88" title="集合 – kantončina" lang="yue" hreflang="yue" data-title="集合" data-language-autonym="粵語" data-language-local-name="kantončina" class="interlanguage-link-target"><span>粵語</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q36161#sitelinks-wikipedia" title="Upraviť medzijazykové odkazy" class="wbc-editpage">Upraviť odkazy</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Menné priestory"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-nstab-main" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Mno%C5%BEina" title="Zobraziť obsah stránky [c]" accesskey="c"><span>Stránka</span></a></li><li id="ca-talk" class="new vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Diskusia:Mno%C5%BEina&action=edit&redlink=1" rel="discussion" class="new" title="Diskusia o obsahu stránky (stránka neexistuje) [t]" accesskey="t"><span>Diskusia</span></a></li> </ul> </div> </div> <div id="vector-variants-dropdown" class="vector-dropdown emptyPortlet" > <input type="checkbox" id="vector-variants-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-variants-dropdown" class="vector-dropdown-checkbox " aria-label="Změnit variantu jazyka" > <label id="vector-variants-dropdown-label" for="vector-variants-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">slovenčina</span> </label> <div class="vector-dropdown-content"> <div id="p-variants" class="vector-menu mw-portlet mw-portlet-variants emptyPortlet" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> </ul> </div> </div> </div> </div> </nav> </div> <div id="right-navigation" class="vector-collapsible"> <nav aria-label="Zobrazenia"> <div id="p-views" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-views" > <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-view" class="selected vector-tab-noicon mw-list-item"><a href="/wiki/Mno%C5%BEina"><span>Čítať</span></a></li><li id="ca-ve-edit" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit" title="Upraviť túto stránku [v]" accesskey="v"><span>Upraviť</span></a></li><li id="ca-edit" class="collapsible vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&action=edit" title="Upraviť zdrojový kód tejto stránky [e]" accesskey="e"><span>Upraviť zdroj</span></a></li><li id="ca-history" class="vector-tab-noicon mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&action=history" title="Minulé revízie tejto stránky. [h]" accesskey="h"><span>Zobraziť históriu</span></a></li> </ul> </div> </div> </nav> <nav class="vector-page-tools-landmark" aria-label="Nástroje stránky"> <div id="vector-page-tools-dropdown" class="vector-dropdown vector-page-tools-dropdown" > <input type="checkbox" id="vector-page-tools-dropdown-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-tools-dropdown" class="vector-dropdown-checkbox " aria-label="Nástroje" > <label id="vector-page-tools-dropdown-label" for="vector-page-tools-dropdown-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet" aria-hidden="true" ><span class="vector-dropdown-label-text">Nástroje</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-tools-unpinned-container" class="vector-unpinned-container"> <div id="vector-page-tools" class="vector-page-tools vector-pinnable-element"> <div class="vector-pinnable-header vector-page-tools-pinnable-header vector-pinnable-header-unpinned" data-feature-name="page-tools-pinned" data-pinnable-element-id="vector-page-tools" data-pinned-container-id="vector-page-tools-pinned-container" data-unpinned-container-id="vector-page-tools-unpinned-container" > <div class="vector-pinnable-header-label">Nástroje</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-page-tools.pin">presunúť do postranného panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-page-tools.unpin">skryť</button> </div> <div id="p-cactions" class="vector-menu mw-portlet mw-portlet-cactions emptyPortlet vector-has-collapsible-items" title="Další možnosti" > <div class="vector-menu-heading"> Akcie </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="ca-more-view" class="selected vector-more-collapsible-item mw-list-item"><a href="/wiki/Mno%C5%BEina"><span>Čítať</span></a></li><li id="ca-more-ve-edit" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit" title="Upraviť túto stránku [v]" accesskey="v"><span>Upraviť</span></a></li><li id="ca-more-edit" class="collapsible vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&action=edit" title="Upraviť zdrojový kód tejto stránky [e]" accesskey="e"><span>Upraviť zdroj</span></a></li><li id="ca-more-history" class="vector-more-collapsible-item mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&action=history"><span>Zobraziť históriu</span></a></li> </ul> </div> </div> <div id="p-tb" class="vector-menu mw-portlet mw-portlet-tb" > <div class="vector-menu-heading"> Všeobecné </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-whatlinkshere" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:%C4%8CoOdkazujeSem/Mno%C5%BEina" title="Zoznam všetkých wiki stránok, ktoré sem odkazujú [j]" accesskey="j"><span>Odkazy na túto stránku</span></a></li><li id="t-recentchangeslinked" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:S%C3%BAvisiacePosledn%C3%A9%C3%9Apravy/Mno%C5%BEina" rel="nofollow" title="Posledné úpravy na stránkach, na ktoré odkazuje táto stránka [k]" accesskey="k"><span>Súvisiace úpravy</span></a></li><li id="t-upload" class="mw-list-item"><a href="//commons.wikimedia.org/wiki/Special:UploadWizard?uselang=sk" title="Nahranie súborov [u]" accesskey="u"><span>Nahrať súbor</span></a></li><li id="t-specialpages" class="mw-list-item"><a href="/wiki/%C5%A0peci%C3%A1lne:%C5%A0peci%C3%A1lneStr%C3%A1nky" title="Zoznam všetkých špeciálnych stránok [q]" accesskey="q"><span>Špeciálne stránky</span></a></li><li id="t-permalink" class="mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&oldid=7850213" title="Trvalý odkaz na túto verziu stránky"><span>Trvalý odkaz</span></a></li><li id="t-info" class="mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&action=info" title="Viac informácií o tejto stránke"><span>Informácie o stránke</span></a></li><li id="t-cite" class="mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:Citova%C5%A5&page=Mno%C5%BEina&id=7850213&wpFormIdentifier=titleform" title="Informácie ako citovať túto stránku"><span>Citovať túto stránku</span></a></li><li id="t-urlshortener" class="mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:UrlShortener&url=https%3A%2F%2Fsk.wikipedia.org%2Fwiki%2FMno%25C5%25BEina"><span>Získať skrátené URL</span></a></li><li id="t-urlshortener-qrcode" class="mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:QrCode&url=https%3A%2F%2Fsk.wikipedia.org%2Fwiki%2FMno%25C5%25BEina"><span>Stiahnuť QR kód</span></a></li> </ul> </div> </div> <div id="p-coll-print_export" class="vector-menu mw-portlet mw-portlet-coll-print_export" > <div class="vector-menu-heading"> Tlačiť/exportovať </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="coll-create_a_book" class="mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:Knihy&bookcmd=book_creator&referer=Mno%C5%BEina"><span>Vytvoriť knihu</span></a></li><li id="coll-download-as-rl" class="mw-list-item"><a href="/w/index.php?title=%C5%A0peci%C3%A1lne:DownloadAsPdf&page=Mno%C5%BEina&action=show-download-screen"><span>Stiahnuť ako PDF</span></a></li><li id="t-print" class="mw-list-item"><a href="/w/index.php?title=Mno%C5%BEina&printable=yes" title="Verzia tejto stránky pre tlač [p]" accesskey="p"><span>Verzia pre tlač</span></a></li> </ul> </div> </div> <div id="p-wikibase-otherprojects" class="vector-menu mw-portlet mw-portlet-wikibase-otherprojects" > <div class="vector-menu-heading"> V iných projektoch </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="wb-otherproject-link wb-otherproject-commons mw-list-item"><a href="https://commons.wikimedia.org/wiki/Category:Sets_(mathematics)" hreflang="en"><span>Wikimedia Commons</span></a></li><li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q36161" title="Odkaz na prepojenú položku dátového úložiska [g]" accesskey="g"><span>Položka Wikidata</span></a></li> </ul> </div> </div> </div> </div> </div> </div> </nav> </div> </div> </div> <div class="vector-column-end"> <div class="vector-sticky-pinned-container"> <nav class="vector-page-tools-landmark" aria-label="Nástroje stránky"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Vzhľad"> <div id="vector-appearance-pinned-container" class="vector-pinned-container"> <div id="vector-appearance" class="vector-appearance vector-pinnable-element"> <div class="vector-pinnable-header vector-appearance-pinnable-header vector-pinnable-header-pinned" data-feature-name="appearance-pinned" data-pinnable-element-id="vector-appearance" data-pinned-container-id="vector-appearance-pinned-container" data-unpinned-container-id="vector-appearance-unpinned-container" > <div class="vector-pinnable-header-label">Vzhľad</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">presunúť do postranného panelu</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">skryť</button> </div> </div> </div> </nav> </div> </div> <div id="bodyContent" class="vector-body" aria-labelledby="firstHeading" data-mw-ve-target-container> <div class="vector-body-before-content"> <div class="mw-indicators"> </div> <div id="siteSub" class="noprint">z Wikipédie, slobodnej encyklopédie</div> </div> <div id="contentSub"><div id="mw-content-subtitle"></div></div> <div id="mw-content-text" class="mw-body-content"><div class="mw-content-ltr mw-parser-output" lang="sk" dir="ltr"><p><b>Množina</b> je súhrn dobre rozlíšiteľných entít, ktorý chápeme ako celok. Presnejšie definície sa rôznia. Množinami sa zaoberá <a href="/wiki/Te%C3%B3ria_mno%C5%BE%C3%ADn" title="Teória množín">teória množín</a>. </p><p>Algebrické množiny označujeme veľkými písmenami <a href="/wiki/Latinsk%C3%A9_p%C3%ADsmo" title="Latinské písmo">latinskej abecedy</a>. Entity, ktoré množina obsahuje sa nazývajú <a href="/wiki/Prvok_mno%C5%BEiny" title="Prvok množiny">prvky množiny</a>. Označujeme ich malými písmenami latinskej abecedy. </p><p><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A=\{c,f,h,j\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>c</mi> <mo>,</mo> <mi>f</mi> <mo>,</mo> <mi>h</mi> <mo>,</mo> <mi>j</mi> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A=\{c,f,h,j\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/af6d2fe91863a8d604f919149411cc6e0c573750" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:14.851ex; height:2.843ex;" alt="{\displaystyle A=\{c,f,h,j\}}"></span> </p><p>Vo všeobecnosti môžeme množinovým zápisom vyjadriť aj vzťahy medzi predmetmi reálneho sveta. </p><p>ovocie = {jablko, hruška, pomaranč} </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Triedenie_množín"><span id="Triedenie_mno.C5.BE.C3.ADn"></span>Triedenie množín</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=1" title="Upraviť sekciu: Triedenie množín" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=1" title="Editovat zdrojový kód sekce Triedenie množín"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ol><li><a href="/wiki/Kone%C4%8Dn%C3%A1_mno%C5%BEina" title="Konečná množina">konečné</a> ( majú konečný počet prvkov: A = { c, f, h, j })</li> <li><a href="/wiki/Nekone%C4%8Dn%C3%A1_mno%C5%BEina" title="Nekonečná množina">nekonečné</a> ( N = {1, 2, 3, ...}) <ol><li><a href="/wiki/Spo%C4%8D%C3%ADtate%C4%BEn%C3%A1_mno%C5%BEina" title="Spočítateľná množina">spočítateľné</a>: N, Z, Q, ...</li> <li><a href="/wiki/Nespo%C4%8D%C3%ADtate%C4%BEn%C3%A1_mno%C5%BEina" title="Nespočítateľná množina">nespočítateľné</a>: R</li></ol></li></ol> <p><br /> </p> <ol><li><a href="/wiki/Pr%C3%A1zdna_mno%C5%BEina" title="Prázdna množina">prázdna množina</a> ( neobsahujú žiadny prvok: A = ∅ ). Je len jedna prázdna množina.</li> <li><a href="/wiki/Nepr%C3%A1zdna_mno%C5%BEina" title="Neprázdna množina">neprázdne</a> ( A ≠ ∅ )</li></ol> <p><br /> </p> <ol><li>disjunktné nemajú spoločné prvky, ich <a href="/wiki/Prienik" class="mw-redirect" title="Prienik">prienik</a> je prázdna množina: A ∩ B = ∅</li> <li>nedisjunktné A ∩ B ≠ ∅</li></ol> <div class="mw-heading mw-heading2"><h2 id="Určenie_množín"><span id="Ur.C4.8Denie_mno.C5.BE.C3.ADn"></span>Určenie množín</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=2" title="Upraviť sekciu: Určenie množín" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=2" title="Editovat zdrojový kód sekce Určenie množín"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Množiny určujeme vymenovaním prvkov: N = {1, 2, 3, ...} alebo charakteristickou vlastnosťou, ktorú má práve každý prvok množiny: A = {2k, <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k\in N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>k</mi> <mo>∈</mo> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle k\in N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/cc8695d703e66cb6e8c4a9544835cbc81c4db4f9" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:6.116ex; height:2.176ex;" alt="{\displaystyle k\in N}"></span>}, alebo operáciou s inými množinami: A = B∩C. </p> <div class="mw-heading mw-heading3"><h3 id="Množiny_čísel"><span id="Mno.C5.BEiny_.C4.8D.C3.ADsel"></span>Množiny čísel</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=3" title="Upraviť sekciu: Množiny čísel" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=3" title="Editovat zdrojový kód sekce Množiny čísel"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle N}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>N</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle N}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f5e3890c981ae85503089652feb48b191b57aae3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:2.064ex; height:2.176ex;" alt="{\displaystyle N}"></span> = {1, 2, 3, ...} je množina <a href="/wiki/Prirodzen%C3%A9_%C4%8D%C3%ADslo" title="Prirodzené číslo">prirodzených čísel</a></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Z}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Z</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Z}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/1cc6b75e09a8aa3f04d8584b11db534f88fb56bd" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.68ex; height:2.176ex;" alt="{\displaystyle Z}"></span> = {..., -3, -2, -1, 0, 1, 2, 3, ...} je množina <a href="/wiki/Cel%C3%A9_%C4%8D%C3%ADslo" title="Celé číslo">celých čísel</a></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle Q}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>Q</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle Q}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/8752c7023b4b3286800fe3238271bbca681219ed" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:1.838ex; height:2.509ex;" alt="{\displaystyle Q}"></span> = <a href="/wiki/Racion%C3%A1lne_%C4%8D%C3%ADsla" class="mw-redirect" title="Racionálne čísla">racionálne čísla</a> (patria sem <a href="/wiki/Zlomok" class="mw-disambig" title="Zlomok">zlomky</a>)</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle I}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>I</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle I}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/535ea7fc4134a31cbe2251d9d3511374bc41be9f" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.172ex; height:2.176ex;" alt="{\displaystyle I}"></span> = <a href="/wiki/Iracion%C3%A1lne_%C4%8D%C3%ADsla" class="mw-redirect" title="Iracionálne čísla">iracionálne čísla</a> (napr. <a href="/wiki/Odmocnina" title="Odmocnina">odmocniny</a>, <a href="/wiki/Ludolfovo_%C4%8D%C3%ADslo" title="Ludolfovo číslo">π</a>)</li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle R}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>R</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle R}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4b0bfb3769bf24d80e15374dc37b0441e2616e33" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.764ex; height:2.176ex;" alt="{\displaystyle R}"></span> = <a href="/wiki/Re%C3%A1lne_%C4%8D%C3%ADsla" class="mw-redirect" title="Reálne čísla">reálne čísla</a></li> <li><span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>C</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle C}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/4fc55753007cd3c18576f7933f6f089196732029" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.766ex; height:2.176ex;" alt="{\displaystyle C}"></span> = <a href="/wiki/Komplexn%C3%A9_%C4%8D%C3%ADsla" class="mw-redirect" title="Komplexné čísla">komplexné čísla</a> (napr. odmocniny záporných čísel)</li></ul> <div class="mw-heading mw-heading2"><h2 id="Vzťahy_medzi_množinami"><span id="Vz.C5.A5ahy_medzi_mno.C5.BEinami"></span>Vzťahy medzi množinami</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=4" title="Upraviť sekciu: Vzťahy medzi množinami" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=4" title="Editovat zdrojový kód sekce Vzťahy medzi množinami"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><i>rovnosť množín</i>: hovoríme, že množina X sa rovná množine Y práve vtedy, ak obsahuje práve tie isté prvky ako množina Y</li></ul> <ul><li><i><a href="/wiki/Podmno%C5%BEina" title="Podmnožina">podmnožina</a></i>: množina A je podmnožinou množiny B práve vtedy, ak každý prvok patriaci do množiny A patrí zároveň aj do množiny B: <ul><li>počet všetkých podmnožín n-prvkovej množiny je 2<sup>n</sup></li> <li>systém všetkých podmnožín množiny A sa nazýva potenčný systém množiny A</li></ul></li></ul> <div class="mw-heading mw-heading2"><h2 id="Grafické_znázornenie_množín"><span id="Grafick.C3.A9_zn.C3.A1zornenie_mno.C5.BE.C3.ADn"></span>Grafické znázornenie množín</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=5" title="Upraviť sekciu: Grafické znázornenie množín" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=5" title="Editovat zdrojový kód sekce Grafické znázornenie množín"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=Ov%C3%A1lov%C3%BD_diagram&action=edit&redlink=1" class="new" title="Oválový diagram (stránka neexistuje)">Oválový diagram</a> – znázornenie množiny pomocou uzavretej čiary, pričom prvky patriace množine znázorníme bodmi vnútri oválu a prvky nepatriace množine bodmi mimo oválu</li> <li><a href="/wiki/Vennov_diagram" title="Vennov diagram">Vennov diagram</a> – U je množina obsahujúca všetky prvky, ktoré uvažujeme</li></ul> <div class="mw-heading mw-heading2"><h2 id="Množinové_operácie"><span id="Mno.C5.BEinov.C3.A9_oper.C3.A1cie"></span>Množinové operácie</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=6" title="Upraviť sekciu: Množinové operácie" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=6" title="Editovat zdrojový kód sekce Množinové operácie"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <div class="mw-heading mw-heading3"><h3 id="Mohutnosť"><span id="Mohutnos.C5.A5"></span>Mohutnosť</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=7" title="Upraviť sekciu: Mohutnosť" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=7" title="Editovat zdrojový kód sekce Mohutnosť"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <dl><dd><div class="noprint"><i>Bližšie informácie v hlavnom článku: <a href="/wiki/Mohutnos%C5%A5_(mno%C5%BEina)" title="Mohutnosť (množina)">Mohutnosť (množina)</a></i></div></dd></dl> <p>Mohutnosť množiny <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span>, označovaná <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle |A|}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>A</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle |A|}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/648fce92f29d925f04d39244ccfe435320dfc6de" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:3.037ex; height:2.843ex;" alt="{\displaystyle |A|}"></span>, je počet členov množiny <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span>. Napríklad, ak <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle B=\{biela,modr{\acute {a}},{\check {c}}erven{\acute {a}}\}}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>B</mi> <mo>=</mo> <mo fence="false" stretchy="false">{</mo> <mi>b</mi> <mi>i</mi> <mi>e</mi> <mi>l</mi> <mi>a</mi> <mo>,</mo> <mi>m</mi> <mi>o</mi> <mi>d</mi> <mi>r</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo>´</mo> </mover> </mrow> </mrow> <mo>,</mo> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>c</mi> <mo stretchy="false">ˇ</mo> </mover> </mrow> </mrow> <mi>e</mi> <mi>r</mi> <mi>v</mi> <mi>e</mi> <mi>n</mi> <mrow class="MJX-TeXAtom-ORD"> <mrow class="MJX-TeXAtom-ORD"> <mover> <mi>a</mi> <mo>´</mo> </mover> </mrow> </mrow> <mo fence="false" stretchy="false">}</mo> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle B=\{biela,modr{\acute {a}},{\check {c}}erven{\acute {a}}\}}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b94f65eec0f02cdc61d73ef6f97fadb9e4e55b24" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:28.984ex; height:2.843ex;" alt="{\displaystyle B=\{biela,modr{\acute {a}},{\check {c}}erven{\acute {a}}\}}"></span> tak <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle |B|=3}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mi>B</mi> <mrow class="MJX-TeXAtom-ORD"> <mo stretchy="false">|</mo> </mrow> <mo>=</mo> <mn>3</mn> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle |B|=3}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b7cb3cbb85fc3cf95a0543ffd7ab01dd1c74da97" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.838ex; width:7.319ex; height:2.843ex;" alt="{\displaystyle |B|=3}"></span>. </p><p>Mohuntnosť <a href="/wiki/Pr%C3%A1zdna_mno%C5%BEina" title="Prázdna množina">prázdnej množiny</a> je 0. </p> <div class="mw-heading mw-heading3"><h3 id="Zjednotenie">Zjednotenie</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=8" title="Upraviť sekciu: Zjednotenie" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=8" title="Editovat zdrojový kód sekce Zjednotenie"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Zjednotenie množín A a B je množina všetkých prvkov z množiny U, ktoré patria aspoň do jednej z množín A a B (A U B) </p><p><span typeof="mw:File"><a href="/wiki/S%C3%BAbor:Set_union.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/0/06/Set_union.png/150px-Set_union.png" decoding="async" width="150" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/0/06/Set_union.png/225px-Set_union.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/0/06/Set_union.png/300px-Set_union.png 2x" data-file-width="500" data-file-height="300" /></a></span> </p><p>Pre viac informácií o zjednotení množín, pozrite článok <i><a href="/wiki/Zjednotenie_(matematika)" title="Zjednotenie (matematika)">Zjednotenie</a></i>. </p> <div class="mw-heading mw-heading3"><h3 id="Prienik">Prienik</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=9" title="Upraviť sekciu: Prienik" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=9" title="Editovat zdrojový kód sekce Prienik"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Prienik množín A a B je množina všetkých prvkov, ktoré patria do množiny A a zároveň do množiny B (A ∩ B) </p><p><span typeof="mw:File"><a href="/wiki/S%C3%BAbor:Set_intersection.png" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Set_intersection.png/150px-Set_intersection.png" decoding="async" width="150" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/4/45/Set_intersection.png/225px-Set_intersection.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/4/45/Set_intersection.png/300px-Set_intersection.png 2x" data-file-width="500" data-file-height="300" /></a></span> </p><p>Pre viac informácií o prieniku množín, pozrite článok <i><a href="/wiki/Prienik_(matematika)" title="Prienik (matematika)">Prienik</a></i>. </p> <div class="mw-heading mw-heading3"><h3 id="Rozdiel">Rozdiel</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=10" title="Upraviť sekciu: Rozdiel" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=10" title="Editovat zdrojový kód sekce Rozdiel"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Rozdiel množín A a B je množina všetkých prvkov, ktoré patria množine A, ale nepatria množine B (A – B) </p><p><span typeof="mw:File"><a href="/wiki/S%C3%BAbor:Set_difference2.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Set_difference2.svg/150px-Set_difference2.svg.png" decoding="async" width="150" height="90" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Set_difference2.svg/225px-Set_difference2.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/d/d4/Set_difference2.svg/300px-Set_difference2.svg.png 2x" data-file-width="500" data-file-height="300" /></a></span> </p><p>Pre viac informácií o rozdiele množín, pozrite článok <i><a href="/wiki/Rozdiel_mno%C5%BE%C3%ADn" title="Rozdiel množín">Rozdiel množín</a></i>. </p> <div class="mw-heading mw-heading3"><h3 id="Doplnok_(komplement)"><span id="Doplnok_.28komplement.29"></span>Doplnok (komplement)</h3><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=11" title="Upraviť sekciu: Doplnok (komplement)" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=11" title="Editovat zdrojový kód sekce Doplnok (komplement)"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Doplnok (komplement) množiny <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span> je množina všetkých prvkov patriacich množine <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle U}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>U</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle U}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/458a728f53b9a0274f059cd695e067c430956025" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.783ex; height:2.176ex;" alt="{\displaystyle U}"></span>, ktoré nepatria množine <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/7daff47fa58cdfd29dc333def748ff5fa4c923e3" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.338ex; width:1.743ex; height:2.176ex;" alt="{\displaystyle A}"></span>, označuje sa <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle A'=U-A}"> <semantics> <mrow class="MJX-TeXAtom-ORD"> <mstyle displaystyle="true" scriptlevel="0"> <msup> <mi>A</mi> <mo>′</mo> </msup> <mo>=</mo> <mi>U</mi> <mo>−</mo> <mi>A</mi> </mstyle> </mrow> <annotation encoding="application/x-tex">{\displaystyle A'=U-A}</annotation> </semantics> </math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/5094f65b7b72615b9d8c70db8c6c4e4c7010f47e" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.505ex; width:11.892ex; height:2.676ex;" alt="{\displaystyle A'=U-A}"></span> </p><p>Pre viac informácií o doplnku množiny, pozrite článok <i><a href="/wiki/Doplnok_(mno%C5%BEiny)" title="Doplnok (množiny)">Doplnok</a></i>. </p> <div class="mw-heading mw-heading2"><h2 id="Externé_odkazy"><span id="Extern.C3.A9_odkazy"></span>Externé odkazy</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Mno%C5%BEina&veaction=edit&section=12" title="Upraviť sekciu: Externé odkazy" class="mw-editsection-visualeditor"><span>upraviť</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Mno%C5%BEina&action=edit&section=12" title="Editovat zdrojový kód sekce Externé odkazy"><span>upraviť zdroj</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li>Množina na <a rel="nofollow" class="external text" href="https://pohodovamatematika.sk/maturita-logika-a-mnoziny.html">pohodovamatematika.sk </a></li></ul> <p><br /> </p> <div class="metadata plainlinks stub" style="float:none; clear:both; margin: .5em 0;"> <table cellpadding="0" cellspacing="0" style="background-color: transparent;"> <tbody><tr> <td><span typeof="mw:File"><a href="/wiki/S%C3%BAbor:Math_template.svg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Math_template.svg/30px-Math_template.svg.png" decoding="async" width="30" height="30" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Math_template.svg/45px-Math_template.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/Math_template.svg/60px-Math_template.svg.png 2x" data-file-width="100" data-file-height="100" /></a></span> </td> <td style="padding-left: 0.25em"><i>Tento článok týkajúci sa <a href="/wiki/Matematika" title="Matematika">matematiky</a> je zatiaľ „<a href="/wiki/Wikip%C3%A9dia:V%C3%BDhonok" title="Wikipédia:Výhonok">výhonok</a>“. Pomôž Wikipédii tým, že ho <a class="external text" href="https://sk.wikipedia.org/w/index.php?title=Mno%C5%BEina&action=edit">doplníš a rozšíriš.</a></i> </td></tr></tbody></table></div> <div role="navigation" class="navbox" aria-labelledby="Teória_množín" style="padding:3px"><table class="nowraplinks collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><div class="plainlinks hlist navbar mini"><ul><li class="nv-view"><a href="/w/index.php?title=%C5%A0abl%C3%B3na:Te%C3%B3ria_mno%C5%BEin&action=edit&redlink=1" class="new" title="Šablóna:Teória množin (stránka neexistuje)"><span title="Zobraz túto šablónu" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">z</span></a></li><li class="nv-talk"><a href="/w/index.php?title=Diskusia_k_%C5%A1abl%C3%B3ne:Te%C3%B3ria_mno%C5%BEin&action=edit&redlink=1" class="new" title="Diskusia k šablóne:Teória množin (stránka neexistuje)"><span title="Diskusia o tejto šablóne" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">d</span></a></li><li class="nv-edit"><a class="external text" href="https://sk.wikipedia.org/w/index.php?title=%C5%A0abl%C3%B3na:Te%C3%B3ria_mno%C5%BEin&action=edit"><span title="Upraviť túto šablónu" style=";;background:none transparent;border:none;-moz-box-shadow:none;-webkit-box-shadow:none;box-shadow:none; padding:0;">u</span></a></li></ul></div><div id="Teória_množín" style="font-size:114%;margin:0 4em"><a href="/wiki/Te%C3%B3ria_mno%C5%BE%C3%ADn" title="Teória množín">Teória množín</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a href="/wiki/Axi%C3%B3ma" title="Axióma">Axiómy</a></th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/w/index.php?title=Axi%C3%B3ma_dvojice&action=edit&redlink=1" class="new" title="Axióma dvojice (stránka neexistuje)">axióma dvojice</a></li> <li><a href="/w/index.php?title=Axi%C3%B3ma_extenzionality&action=edit&redlink=1" class="new" title="Axióma extenzionality (stránka neexistuje)">axióma extenzionality</a></li> <li><a href="/w/index.php?title=Axi%C3%B3ma_nekone%C4%8Dna&action=edit&redlink=1" class="new" title="Axióma nekonečna (stránka neexistuje)">axióma nekonečna</a></li> <li><a href="/w/index.php?title=Axi%C3%B3ma_poten%C4%8Dnej_mno%C5%BEiny&action=edit&redlink=1" class="new" title="Axióma potenčnej množiny (stránka neexistuje)">axióma potenčnej množiny</a></li> <li><a href="/w/index.php?title=Axi%C3%B3ma_regularity&action=edit&redlink=1" class="new" title="Axióma regularity (stránka neexistuje)">axióma regularity</a></li> <li><a href="/w/index.php?title=Axi%C3%B3ma_sumy&action=edit&redlink=1" class="new" title="Axióma sumy (stránka neexistuje)">axióma sumy</a></li> <li><a href="/w/index.php?title=Axi%C3%B3ma_v%C3%BDberu&action=edit&redlink=1" class="new" title="Axióma výberu (stránka neexistuje)">axióma výberu</a></li> <li><a href="/wiki/Hypot%C3%A9za_kontinua" title="Hypotéza kontinua">hypotéza kontinua</a></li> <li><a href="/w/index.php?title=Martinova_axi%C3%B3ma&action=edit&redlink=1" class="new" title="Martinova axióma (stránka neexistuje)">Martinova axióma</a></li> <li><a href="/w/index.php?title=Sch%C3%A9ma_axi%C3%B3m_substit%C3%BAcie&action=edit&redlink=1" class="new" title="Schéma axióm substitúcie (stránka neexistuje)">schéma axióm substitúcie</a></li> <li><a href="/w/index.php?title=Sch%C3%A9ma_axi%C3%B3m_vymedzenia&action=edit&redlink=1" class="new" title="Schéma axióm vymedzenia (stránka neexistuje)">schéma axióm vymedzenia</a></li></ul> </div></td><td class="navbox-image" rowspan="6" style="width:1px;padding:0px 0px 0px 2px"><div><span typeof="mw:File"><a href="/wiki/Vennov_diagram" title="Vennov diagram"><img alt="Vennov diagram prieniku množín" src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/80px-Venn_A_intersect_B.svg.png" decoding="async" width="80" height="57" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/120px-Venn_A_intersect_B.svg.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6d/Venn_A_intersect_B.svg/160px-Venn_A_intersect_B.svg.png 2x" data-file-width="350" data-file-height="250" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a class="mw-selflink-fragment" href="#Množinové_operácie">Operácie</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/De_Morganove_z%C3%A1kony" title="De Morganove zákony">de Morganove zákony</a></li> <li><a href="/wiki/Doplnok_(mno%C5%BEiny)" title="Doplnok (množiny)">doplnok</a></li> <li><a href="/wiki/Kartezi%C3%A1nsky_s%C3%BA%C4%8Din" title="Karteziánsky súčin">karteziánsky súčin</a></li> <li><a href="/wiki/Poten%C4%8Dn%C3%A1_mno%C5%BEina" title="Potenčná množina">potenčná množina</a></li> <li><a href="/wiki/Prienik_(matematika)" title="Prienik (matematika)">prienik</a></li> <li><a href="/wiki/Rozdiel_mno%C5%BE%C3%ADn" title="Rozdiel množín">rozdiel množín</a></li> <li><a href="/wiki/Symetrick%C3%A1_diferencia" title="Symetrická diferencia">symetrická diferencia</a></li> <li><a href="/wiki/Zjednotenie_(matematika)" title="Zjednotenie (matematika)">zjednotenie</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Koncepty<br />a metódy</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Bijekt%C3%ADvne_zobrazenie" title="Bijektívne zobrazenie">bijektívne zobrazenie</a></li> <li><a href="/wiki/Cantorova_diagon%C3%A1lna_met%C3%B3da" title="Cantorova diagonálna metóda">Cantorova diagonálna metóda</a></li> <li><a href="/wiki/Kardin%C3%A1lne_%C4%8D%C3%ADslo" title="Kardinálne číslo">kardinálne číslo</a></li> <li><a href="/w/index.php?title=Kon%C5%A1truovate%C4%BEn%C3%A1_mno%C5%BEina&action=edit&redlink=1" class="new" title="Konštruovateľná množina (stránka neexistuje)">konštruovateľná množina</a></li> <li><a href="/wiki/Mohutnos%C5%A5_(mno%C5%BEina)" title="Mohutnosť (množina)">mohutnosť</a></li> <li><a href="/w/index.php?title=Ordin%C3%A1lne_%C4%8D%C3%ADslo&action=edit&redlink=1" class="new" title="Ordinálne číslo (stránka neexistuje)">ordinálne číslo</a></li> <li><a href="/wiki/Prvok_mno%C5%BEiny" title="Prvok množiny">prvok množiny</a></li> <li><a href="/w/index.php?title=Rodina_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Rodina množín (stránka neexistuje)">rodina množín</a></li> <li><a href="/w/index.php?title=Transfinitn%C3%A1_indukcia&action=edit&redlink=1" class="new" title="Transfinitná indukcia (stránka neexistuje)">transfinitná indukcia</a></li> <li><a href="/w/index.php?title=Trieda_(matematika)&action=edit&redlink=1" class="new" title="Trieda (matematika) (stránka neexistuje)">trieda</a></li> <li><a href="/wiki/Vennov_diagram" title="Vennov diagram">Vennov diagram</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><a class="mw-selflink selflink">Množiny</a></th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Kone%C4%8Dn%C3%A1_mno%C5%BEina" title="Konečná množina">konečná množina</a></li> <li><a href="/wiki/Nekone%C4%8Dn%C3%A1_mno%C5%BEina" title="Nekonečná množina">nekonečná množina</a></li> <li><a href="/wiki/Neostr%C3%A1_mno%C5%BEina" title="Neostrá množina">neostrá množina</a></li> <li><a href="/wiki/Nespo%C4%8D%C3%ADtate%C4%BEn%C3%A1_mno%C5%BEina" title="Nespočítateľná množina">nespočítateľná množina</a></li> <li><a href="/wiki/Podmno%C5%BEina" title="Podmnožina">podmnožina</a></li> <li><a href="/wiki/Pr%C3%A1zdna_mno%C5%BEina" title="Prázdna množina">prázdna množina</a></li> <li><a href="/w/index.php?title=Rekurz%C3%ADvna_mno%C5%BEina&action=edit&redlink=1" class="new" title="Rekurzívna množina (stránka neexistuje)">rekurzívna množina</a></li> <li><a href="/wiki/Spo%C4%8D%C3%ADtate%C4%BEn%C3%A1_mno%C5%BEina" title="Spočítateľná množina">spočítateľná množina</a></li> <li><a href="/w/index.php?title=Tranzit%C3%ADvna_mno%C5%BEina&action=edit&redlink=1" class="new" title="Tranzitívna množina (stránka neexistuje)">tranzitívna množina</a></li> <li><a href="/wiki/Z%C3%A1kladn%C3%A1_mno%C5%BEina" title="Základná množina">základná množina</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Teória</th><td class="navbox-list navbox-odd hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Alternat%C3%ADvna_te%C3%B3ria_mno%C5%BE%C3%ADn" title="Alternatívna teória množín">alternatívna teória množín</a></li> <li><a href="/w/index.php?title=Axiomatick%C3%A1_te%C3%B3ria_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Axiomatická teória množín (stránka neexistuje)">axiomatická teória množín</a></li> <li><a href="/wiki/Buraliho-Fortiho_paradox" title="Buraliho-Fortiho paradox">Buraliho-Fortiho paradox</a></li> <li><a href="/w/index.php?title=Cantorova_veta&action=edit&redlink=1" class="new" title="Cantorova veta (stránka neexistuje)">Cantorova veta</a></li> <li><a href="/w/index.php?title=Forcing&action=edit&redlink=1" class="new" title="Forcing (stránka neexistuje)">forcing</a></li> <li><a href="/w/index.php?title=Morseho-Kelleyho_te%C3%B3ria_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Morseho-Kelleyho teória množín (stránka neexistuje)">Morseho-Kelleyho teória množín</a></li> <li><a href="/w/index.php?title=Naivn%C3%A1_te%C3%B3ria_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Naivná teória množín (stránka neexistuje)">naivná teória množín</a></li> <li><a href="/w/index.php?title=Paradoxy_naivnej_te%C3%B3rie_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Paradoxy naivnej teórie množín (stránka neexistuje)">paradoxy naivnej teórie množín</a></li> <li><a href="/w/index.php?title=Principia_Mathematica&action=edit&redlink=1" class="new" title="Principia Mathematica (stránka neexistuje)">Principia Mathematica</a></li> <li><a href="/wiki/Russellov_paradox" title="Russellov paradox">Russellov paradox</a></li> <li><a href="/w/index.php?title=Suslinova_hypot%C3%A9za&action=edit&redlink=1" class="new" title="Suslinova hypotéza (stránka neexistuje)">Suslinova hypotéza</a></li> <li><a href="/w/index.php?title=Von_Neumannova-Bernaysova-G%C3%B6delova_te%C3%B3ria_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Von Neumannova-Bernaysova-Gödelova teória množín (stránka neexistuje)">von Neumannova-Bernaysova-Gödelova teória množín</a></li> <li><a href="/w/index.php?title=Zermelova_te%C3%B3ria_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Zermelova teória množín (stránka neexistuje)">Zermelova teória množín</a></li> <li><a href="/w/index.php?title=Zermelova-Fraenkelova_te%C3%B3ria_mno%C5%BE%C3%ADn&action=edit&redlink=1" class="new" title="Zermelova-Fraenkelova teória množín (stránka neexistuje)">Zermelova-Fraenkelova teória množín</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Teoretici</th><td class="navbox-list navbox-even hlist" style="text-align:left;border-left-width:2px;border-left-style:solid;width:100%;padding:0px"><div style="padding:0em 0.25em"> <ul><li><a href="/wiki/Isaak_Paul_Bernays" title="Isaak Paul Bernays">Paul Bernays</a></li> <li><a href="/wiki/Georg_Ferdinand_Cantor" title="Georg Ferdinand Cantor">Georg Cantor</a></li> <li><a href="/wiki/Paul_Cohen_(matematik)" title="Paul Cohen (matematik)">Paul Cohen</a></li> <li><a href="/wiki/Richard_Dedekind" title="Richard Dedekind">Richard Dedekind</a></li> <li><a href="/wiki/Adolf_Fraenkel" title="Adolf Fraenkel">Adolf Fraenkel</a></li> <li><a href="/wiki/Kurt_G%C3%B6del" title="Kurt Gödel">Kurt Gödel</a></li> <li><a href="/w/index.php?title=Thomas_Jech&action=edit&redlink=1" class="new" title="Thomas Jech (stránka neexistuje)">Thomas Jech</a></li> <li><a href="/wiki/John_von_Neumann" title="John von Neumann">John von Neumann</a></li> <li><a href="/wiki/Willard_Van_Orman_Quine" title="Willard Van Orman Quine">Willard Van Orman Quine</a></li> <li><a href="/wiki/Bertrand_Russell" title="Bertrand Russell">Bertrand Russell</a></li> <li><a href="/wiki/Petr_Vop%C4%9Bnka" title="Petr Vopěnka">Petr Vopěnka</a></li> <li><a href="/w/index.php?title=Lotfi_Zadeh&action=edit&redlink=1" class="new" title="Lotfi Zadeh (stránka neexistuje)">Lotfi Zadeh</a></li> <li><a href="/wiki/Ernst_Zermelo" title="Ernst Zermelo">Ernst Zermelo</a></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Zdroj: „<a dir="ltr" href="https://sk.wikipedia.org/w/index.php?title=Množina&oldid=7850213">https://sk.wikipedia.org/w/index.php?title=Množina&oldid=7850213</a>“</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/%C5%A0peci%C3%A1lne:Kateg%C3%B3rie" title="Špeciálne:Kategórie">Kategórie</a>: <ul><li><a href="/wiki/Kateg%C3%B3ria:Matematick%C3%A9_v%C3%BDhonky" title="Kategória:Matematické výhonky">Matematické výhonky</a></li><li><a href="/wiki/Kateg%C3%B3ria:Te%C3%B3ria_mno%C5%BE%C3%ADn" title="Kategória:Teória množín">Teória množín</a></li><li><a href="/wiki/Kateg%C3%B3ria:Logika" title="Kategória:Logika">Logika</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Dátum a čas poslednej úpravy tejto stránky: 13. máj 2024, 06:34.</li> <li id="footer-info-copyright">Text je dostupný za podmienok <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/">Creative Commons Attribution/Share-Alike License 4.0 Unported</a>; prípadne za ďalších podmienok. Podrobnejšie informácie nájdete na stránke <a class="external text" href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Terms_of_Use">Podmienky použitia</a>.</li> </ul> <ul id="footer-places"> <li id="footer-places-privacy"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Privacy_policy">Ochrana osobných údajov</a></li> <li id="footer-places-about"><a href="/wiki/Wikip%C3%A9dia:O">O Wikipédii</a></li> <li id="footer-places-disclaimers"><a href="/wiki/Wikip%C3%A9dia:Zrieknutie_sa_zodpovednosti">Zrieknutie sa zodpovednosti</a></li> <li id="footer-places-wm-codeofconduct"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Universal_Code_of_Conduct">Pravidlá správania</a></li> <li id="footer-places-developers"><a href="https://developer.wikimedia.org">Vývojári</a></li> <li id="footer-places-statslink"><a href="https://stats.wikimedia.org/#/sk.wikipedia.org">Štatistiky</a></li> <li id="footer-places-cookiestatement"><a href="https://foundation.wikimedia.org/wiki/Special:MyLanguage/Policy:Cookie_statement">Vyhlásenie o cookies</a></li> <li id="footer-places-mobileview"><a href="//sk.m.wikipedia.org/w/index.php?title=Mno%C5%BEina&mobileaction=toggle_view_mobile" class="noprint stopMobileRedirectToggle">Mobilné zobrazenie</a></li> </ul> <ul id="footer-icons" class="noprint"> <li id="footer-copyrightico"><a href="https://wikimediafoundation.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/static/images/footer/wikimedia-button.svg" width="84" height="29" alt="Wikimedia Foundation" loading="lazy"></a></li> <li id="footer-poweredbyico"><a href="https://www.mediawiki.org/" class="cdx-button cdx-button--fake-button cdx-button--size-large cdx-button--fake-button--enabled"><img src="/w/resources/assets/poweredby_mediawiki.svg" alt="Powered by MediaWiki" width="88" height="31" loading="lazy"></a></li> </ul> </footer> </div> </div> </div> <div class="vector-settings" id="p-dock-bottom"> <ul></ul> </div><script>(RLQ=window.RLQ||[]).push(function(){mw.config.set({"wgHostname":"mw-web.codfw.main-76c6b8f495-bnnqr","wgBackendResponseTime":165,"wgPageParseReport":{"limitreport":{"cputime":"0.109","walltime":"0.184","ppvisitednodes":{"value":303,"limit":1000000},"postexpandincludesize":{"value":16404,"limit":2097152},"templateargumentsize":{"value":164,"limit":2097152},"expansiondepth":{"value":7,"limit":100},"expensivefunctioncount":{"value":0,"limit":500},"unstrip-depth":{"value":0,"limit":20},"unstrip-size":{"value":612,"limit":5000000},"entityaccesscount":{"value":0,"limit":400},"timingprofile":["100.00% 50.887 1 -total"," 75.77% 38.559 1 Šablóna:Teória_množín"," 67.38% 34.286 1 Šablóna:Navbox"," 11.47% 5.839 1 Šablóna:Matematický_výhonok"," 11.43% 5.814 1 Šablóna:Hlavný_článok"," 7.17% 3.648 1 Šablóna:Výhonok"]},"scribunto":{"limitreport-timeusage":{"value":"0.012","limit":"10.000"},"limitreport-memusage":{"value":632471,"limit":52428800}},"cachereport":{"origin":"mw-web.eqiad.main-559c9fd9f4-wr88h","timestamp":"20241126132206","ttl":2592000,"transientcontent":false}}});});</script> <script type="application/ld+json">{"@context":"https:\/\/schema.org","@type":"Article","name":"Mno\u017eina","url":"https:\/\/sk.wikipedia.org\/wiki\/Mno%C5%BEina","sameAs":"http:\/\/www.wikidata.org\/entity\/Q36161","mainEntity":"http:\/\/www.wikidata.org\/entity\/Q36161","author":{"@type":"Organization","name":"P\u0159isp\u011bvatel\u00e9 projekt\u016f Wikimedia"},"publisher":{"@type":"Organization","name":"nadace Wikimedia","logo":{"@type":"ImageObject","url":"https:\/\/www.wikimedia.org\/static\/images\/wmf-hor-googpub.png"}},"datePublished":"2005-05-21T18:13:19Z","dateModified":"2024-05-13T06:34:10Z"}</script> </body> </html>