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href="/w/index.php?title=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A1%D0%BA%D0%BE%D1%80%D0%B0%D1%88%D1%9A%D0%B5_%D0%B8%D0%B7%D0%BC%D0%B5%D0%BD%D0%B5&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-Аксиоматска_теорија_скупова rootpage-Аксиоматска_теорија_скупова skin-vector-2022 action-view"><a class="mw-jump-link" href="#bodyContent">Пређи на садржај</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="Сајт"> <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="Главни мени" > <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">Главни мени</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">Главни мени</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-main-menu.pin">помери на страну</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-main-menu.unpin">сакриј</button> </div> <div id="p-navigation" class="vector-menu mw-portlet mw-portlet-navigation" > <div class="vector-menu-heading"> Навигација </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="n-mainpage" class="mw-list-item"><a href="/wiki/%D0%93%D0%BB%D0%B0%D0%B2%D0%BD%D0%B0_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B0" title="Посетите главну страну [z]" accesskey="z"><span>Главна страна</span></a></li><li id="n-contents" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%A1%D0%B0%D0%B4%D1%80%D0%B6%D0%B0%D1%98" title="Водичи за прегледање Википедије"><span>Садржај</span></a></li><li id="n-recentchanges" class="mw-list-item"><a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%A1%D0%BA%D0%BE%D1%80%D0%B0%D1%88%D1%9A%D0%B5_%D0%B8%D0%B7%D0%BC%D0%B5%D0%BD%D0%B5" title="Списак скорашњих измена на пројекту [r]" accesskey="r"><span>Скорашње измене</span></a></li><li id="n-randompage" class="mw-list-item"><a href="/wiki/%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%9D%D0%B0%D1%81%D1%83%D0%BC%D0%B8%D1%87%D0%BD%D0%B0_%D1%81%D1%82%D1%80%D0%B0%D0%BD%D0%B8%D1%86%D0%B0" title="Посетите насумичну страницу [x]" accesskey="x"><span>Случајна страница</span></a></li><li id="n-currentevents" class="mw-list-item"><a href="/wiki/%D0%92%D0%B8%D0%BA%D0%B8%D0%BF%D0%B5%D0%B4%D0%B8%D1%98%D0%B0:%D0%90%D0%BA%D1%82%D1%83%D0%B5%D0%BB%D0%BD%D0%BE%D1%81%D1%82%D0%B8" title="Пронађите информације о 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href="/w/index.php?title=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D0%BD%D0%B8%D1%87%D0%BA%D0%B0_%D0%BF%D1%80%D0%B8%D1%98%D0%B0%D0%B2%D0%B0&returnto=%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D1%81%D0%BA%D0%B0+%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0+%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0" title="Иако није обавезно, препоручујемо да се пријавите [o]" accesskey="o" class=""><span>Пријави ме</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 user-links-collapsible-item" title="Више опција" > <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="Личне алатке" > <label id="vector-user-links-dropdown-label" for="vector-user-links-dropdown-checkbox" class="vector-dropdown-label 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href="/w/index.php?title=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%9E%D1%82%D0%B2%D0%BE%D1%80%D0%B8_%D0%BD%D0%B0%D0%BB%D0%BE%D0%B3&returnto=%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D1%81%D0%BA%D0%B0+%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0+%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0" title="Иако није обавезно, препоручујемо да отворите налог и пријавите се"><span class="vector-icon mw-ui-icon-userAdd mw-ui-icon-wikimedia-userAdd"></span> <span>Отвори налог</span></a></li><li id="pt-login" class="user-links-collapsible-item mw-list-item"><a href="/w/index.php?title=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:%D0%9A%D0%BE%D1%80%D0%B8%D1%81%D0%BD%D0%B8%D1%87%D0%BA%D0%B0_%D0%BF%D1%80%D0%B8%D1%98%D0%B0%D0%B2%D0%B0&returnto=%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D1%81%D0%BA%D0%B0+%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0+%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0" title="Иако није обавезно, препоручујемо да се пријавите [o]" accesskey="o"><span class="vector-icon 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чланака/Традиција и обичаји 2024\"\u003EТрадиције и обичаја\u003C/a\u003E\u003C/b\u003E.\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\u003E\u003C/div\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="Сајт"> <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="Садржај" 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">Садржај</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">помери на страну</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">сакриј</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">Почетак</div> </a> </li> <li id="toc-Види_још" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Види_још"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Види још</span> </div> </a> <ul id="toc-Види_још-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="Садржај" 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="Прикажи/сакриј садржај" > <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">Прикажи/сакриј садржај</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">Аксиоматска теорија скупова</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="Чланак на другим језицима. Доступан на: 17" > <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-17" 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">17 језика</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A7%8D%E0%A6%AC%E0%A6%A4%E0%A6%83%E0%A6%B8%E0%A6%BF%E0%A6%A6%E0%A7%8D%E0%A6%A7%E0%A6%AE%E0%A7%82%E0%A6%B2%E0%A6%95_%E0%A6%B8%E0%A7%87%E0%A6%9F_%E0%A6%A4%E0%A6%A4%E0%A7%8D%E0%A6%A4%E0%A7%8D%E0%A6%AC" title="স্বতঃসিদ্ধমূলক সেট তত্ত্ব — бенгалски" lang="bn" hreflang="bn" data-title="স্বতঃসিদ্ধমূলক সেট তত্ত্ব" data-language-autonym="বাংলা" data-language-local-name="бенгалски" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Damcaniaeth_setiau_wirebol" title="Damcaniaeth setiau wirebol — велшки" lang="cy" hreflang="cy" data-title="Damcaniaeth setiau wirebol" data-language-autonym="Cymraeg" data-language-local-name="велшки" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Axiomatick%C3%A1_teorie_mno%C5%BEin" title="Axiomatická teorie množin — чешки" lang="cs" hreflang="cs" data-title="Axiomatická teorie množin" data-language-autonym="Čeština" data-language-local-name="чешки" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Axiomatische_Mengenlehre" title="Axiomatische Mengenlehre — немачки" lang="de" hreflang="de" data-title="Axiomatische Mengenlehre" data-language-autonym="Deutsch" data-language-local-name="немачки" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Set_theory#Axiomatic_set_theory" title="Set theory — енглески" lang="en" hreflang="en" data-title="Set theory" data-language-autonym="English" data-language-local-name="енглески" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%86%D8%B8%D8%B1%DB%8C%D9%87_%D8%A7%D8%B5%D9%84_%D9%85%D9%88%D8%B6%D9%88%D8%B9%DB%8C_%D9%85%D8%AC%D9%85%D9%88%D8%B9%D9%87%E2%80%8C%D9%87%D8%A7" title="نظریه اصل موضوعی مجموعه‌ها — персијски" lang="fa" hreflang="fa" data-title="نظریه اصل موضوعی مجموعه‌ها" data-language-autonym="فارسی" data-language-local-name="персијски" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%AA%D7%95%D7%A8%D7%AA_%D7%94%D7%A7%D7%91%D7%95%D7%A6%D7%95%D7%AA_%D7%94%D7%90%D7%A7%D7%A1%D7%99%D7%95%D7%9E%D7%98%D7%99%D7%AA" title="תורת הקבוצות האקסיומטית — хебрејски" lang="he" hreflang="he" data-title="תורת הקבוצות האקסיומטית" data-language-autonym="עברית" data-language-local-name="хебрејски" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Teoria_assiomatica_degli_insiemi" title="Teoria assiomatica degli insiemi — италијански" lang="it" hreflang="it" data-title="Teoria assiomatica degli insiemi" data-language-autonym="Italiano" data-language-local-name="италијански" 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/%E5%85%AC%E7%90%86%E7%9A%84%E9%9B%86%E5%90%88%E8%AB%96" title="公理的集合論 — јапански" lang="ja" hreflang="ja" data-title="公理的集合論" data-language-autonym="日本語" data-language-local-name="јапански" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Axiomatikus_halmazelm%C3%A9let" title="Axiomatikus halmazelmélet — мађарски" lang="hu" hreflang="hu" data-title="Axiomatikus halmazelmélet" data-language-autonym="Magyar" data-language-local-name="мађарски" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Axiomatische_verzamelingenleer" title="Axiomatische verzamelingenleer — холандски" lang="nl" hreflang="nl" data-title="Axiomatische verzamelingenleer" data-language-autonym="Nederlands" data-language-local-name="холандски" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ru badge-Q70894304 mw-list-item" title=""><a href="https://ru.wikipedia.org/wiki/%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B0%D1%8F_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%8F_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B5%D1%81%D1%82%D0%B2" title="Аксиоматическая теория множеств — руски" lang="ru" hreflang="ru" data-title="Аксиоматическая теория множеств" data-language-autonym="Русский" data-language-local-name="руски" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Aksiomaattinen_joukko-oppi" title="Aksiomaattinen joukko-oppi — фински" lang="fi" hreflang="fi" data-title="Aksiomaattinen joukko-oppi" data-language-autonym="Suomi" data-language-local-name="фински" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/M%C3%A4ngdteoretiska_axiom" title="Mängdteoretiska axiom — шведски" lang="sv" hreflang="sv" data-title="Mängdteoretiska axiom" data-language-autonym="Svenska" data-language-local-name="шведски" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%90%D0%BA%D1%81%D1%96%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D1%96%D1%97_%D0%BC%D0%BD%D0%BE%D0%B6%D0%B8%D0%BD" title="Аксіоматика теорії множин — украјински" lang="uk" hreflang="uk" data-title="Аксіоматика теорії множин" data-language-autonym="Українська" data-language-local-name="украјински" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E5%85%AC%E7%90%86%E5%8C%96%E9%9B%86%E5%90%88%E8%AE%BA" title="公理化集合论 — кинески" lang="zh" 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href="/w/index.php?title=%D0%9F%D0%BE%D1%81%D0%B5%D0%B1%D0%BD%D0%BE:DownloadAsPdf&page=%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D1%81%D0%BA%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0&action=show-download-screen"><span>Преузми у PDF-у</span></a></li><li id="t-print" class="mw-list-item"><a href="javascript:print();" rel="alternate" title="Одштампајте ову страницу [p]" accesskey="p"><span>Одштампај</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"> На другим пројектима </div> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li id="t-wikibase" class="wb-otherproject-link wb-otherproject-wikibase-dataitem mw-list-item"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q904423" title="Веза ка ставци на спремишту података [g]" accesskey="g"><span>Ставка на Википодацима</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="Алатке странице"> <div id="vector-page-tools-pinned-container" class="vector-pinned-container"> </div> </nav> <nav class="vector-appearance-landmark" aria-label="Изглед"> <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">Изглед</div> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-appearance.pin">помери на страну</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-appearance.unpin">сакриј</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">С Википедије, слободне енциклопедије</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="sr" dir="ltr"><p>У <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0" title="Математика">математици</a>, <b>аксиоматска теорија скупова</b> је ригорозна реформулација <a href="/wiki/%D0%A2%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0" title="Теорија скупова">теорије скупова</a> у <a href="/wiki/%D0%9B%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0_%D0%BF%D1%80%D0%B2%D0%BE%D0%B3_%D1%80%D0%B5%D0%B4%D0%B0" title="Логика првог реда">логици првог реда</a> настала да реши парадоксе <a href="/wiki/Naivna_teorija_skupova" title="Naivna teorija skupova">наивне теорије скупова</a>. Основу теорије скупова је у највећој мери развио немачки математичар <a href="/wiki/%D0%93%D0%B5%D0%BE%D1%80%D0%B3_%D0%9A%D0%B0%D0%BD%D1%82%D0%BE%D1%80" title="Георг Кантор">Георг Кантор</a> крајем 19. века. </p><p>У почетку контроверзна, теорија скупова је добила улогу <a href="/wiki/%D0%9E%D1%81%D0%BD%D0%BE%D0%B2%D0%B5_%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B5" title="Основе математике">основне теорије</a> у модерној математици, у смислу да интерпретира идеје о математичким објектима (бројевима, функцијама...) из свих традиционалних области математике (<a href="/wiki/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0" title="Алгебра">алгебра</a>, <a href="/wiki/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D1%87%D0%BA%D0%B0_%D0%B0%D0%BD%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0" title="Математичка анализа">анализа</a>, <a href="/wiki/%D0%A2%D0%BE%D0%BF%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%98%D0%B0" title="Топологија">топологија</a>...) у једној теорији, и пружа стандардан скуп аксиома за њихово доказивање или оповргавање. У исто време, основни концепти теорије скупова се користе у целој математици. Треба такође напоменути да постој ематематичари који користе и промовишу другачије приступе основи математике. </p><p>Основни концепти теорије скупова су скуп и припадност скупу. <a href="/wiki/%D0%A1%D0%BA%D1%83%D0%BF" title="Скуп">Скупом</a> се сматра свака колекција објеката, који се називају <i>члановима</i> (или <i>елементима</i>) скупа. У математици чланови скупова су било који математички објекти, који и сами могу бити скупови. Тако на пример имамо скуп <b>N</b> <a href="/wiki/%D0%9F%D1%80%D0%B8%D1%80%D0%BE%D0%B4%D0%B0%D0%BD_%D0%B1%D1%80%D0%BE%D1%98" title="Природан број">природних бројева</a> {0, 1, 2, 3, 4, ...}, скуп <a href="/wiki/%D0%A0%D0%B5%D0%B0%D0%BB%D0%B0%D0%BD_%D0%B1%D1%80%D0%BE%D1%98" title="Реалан број">реалних бројева</a>, као и скуп <a href="/wiki/%D0%A4%D1%83%D0%BD%D0%BA%D1%86%D0%B8%D1%98%D0%B0_(%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0)" title="Функција (математика)">функција</a> које скуп природних бројева пресликавају у скуп природних бројева; али на пример и скуп {0, 2, <b>N</b>} чији су чланови бројеви 0 и 2 и скуп <b>N</b>. </p><p>У почетку је развијено оно шта се данас анзива <a href="/wiki/Naivna_teorija_skupova" title="Naivna teorija skupova">наивном теоријом скупова</a>. Испоставило се да ако се узме да се свака дата операција може обављати на било ком скупу без рестрикција, долази до <a href="/w/index.php?title=%D0%9F%D0%B0%D1%80%D0%B0%D0%B4%D0%BE%D0%BA%D1%81%D0%B8_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B5_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0&action=edit&redlink=1" class="new" title="Парадокси теорије скупова (страница не постоји)">парадокса</a> попут <a href="/wiki/%D0%A0%D0%B0%D1%81%D0%B5%D0%BB%D0%BE%D0%B2_%D0%BF%D0%B0%D1%80%D0%B0%D0%B4%D0%BE%D0%BA%D1%81" title="Раселов парадокс">Раселовог парадокса</a>. Да би се ови проблеми решили, теорија скупова је реконструисана, коришћењем <a href="/wiki/%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0" title="Аксиома">аксиоматског</a> приступа. </p> <div class="mw-heading mw-heading2"><h2 id="Види_још"><span id=".D0.92.D0.B8.D0.B4.D0.B8_.D1.98.D0.BE.D1.88"></span>Види још</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D1%81%D0%BA%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0&veaction=edit&section=1" title="Уредите одељак „Види још”" class="mw-editsection-visualeditor"><span>уреди</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=%D0%90%D0%BA%D1%81%D0%B8%D0%BE%D0%BC%D0%B0%D1%82%D1%81%D0%BA%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0&action=edit&section=1" title="Уреди извор одељка: Види још"><span>уреди извор</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/w/index.php?title=%D0%90%D0%BB%D1%82%D0%B5%D1%80%D0%BD%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0&action=edit&redlink=1" class="new" title="Алтернативна теорија скупова (страница не постоји)">Алтернативна теорија скупова</a></li> <li><a href="/w/index.php?title=%D0%91%D0%B5%D1%82_%D0%B1%D1%80%D0%BE%D1%98&action=edit&redlink=1" class="new" title="Бет број (страница не постоји)">Бет број</a></li> <li><a href="/w/index.php?title=%D0%9A%D0%B0%D0%BD%D1%82%D0%BE%D1%80-%D0%91%D0%B5%D1%80%D0%BD%D1%88%D1%82%D0%B0%D1%98%D0%BD-%D0%A8%D1%80%D0%B5%D0%B4%D0%B5%D1%80%D0%BE%D0%B2%D0%B0_%D1%82%D0%B5%D0%BE%D1%80%D0%B5%D0%BC%D0%B0&action=edit&redlink=1" class="new" title="Кантор-Бернштајн-Шредерова теорема (страница не постоји)">Кантор-Бернштајн-Шредерова теорема</a></li> <li><a href="/w/index.php?title=%D0%9A%D0%B0%D0%BD%D1%82%D0%BE%D1%80%D0%BE%D0%B2_%D0%B4%D0%B8%D1%98%D0%B0%D0%B3%D0%BE%D0%BD%D0%B0%D0%BB%D0%BD%D0%B8_%D0%BF%D0%BE%D1%81%D1%82%D1%83%D0%BF%D0%B0%D0%BA&action=edit&redlink=1" class="new" title="Канторов дијагонални поступак (страница не постоји)">Канторов дијагонални поступак</a></li> <li><a href="/wiki/Kantorova_teorema" title="Kantorova teorema">Канторова теорема</a></li> <li><a href="/wiki/Naivna_teorija_skupova" title="Naivna teorija skupova">Наивна теорија скупова</a></li> <li><a href="/wiki/%D0%97%D0%B5%D1%80%D0%BC%D0%B5%D0%BB%D0%BE-%D0%A4%D1%80%D0%B5%D0%BD%D0%BA%D0%B5%D0%BB_%D1%82%D0%B5%D0%BE%D1%80%D0%B8%D1%98%D0%B0_%D1%81%D0%BA%D1%83%D0%BF%D0%BE%D0%B2%D0%B0" class="mw-redirect" title="Зермело-Френкел теорија скупова">Зермело-Френкел теорија скупова</a></li></ul> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r25469611">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist 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