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.portalborder{border:1px solid var(--border-color-base,#a2a9b1);padding:0.1em;background:var(--background-color-neutral-subtle,#f8f9fa)}.mw-parser-output .portalbox-entry{display:table-row;font-size:85%;line-height:110%;height:1.9em;font-style:italic;font-weight:bold}.mw-parser-output .portalbox-image{display:table-cell;padding:0.2em;vertical-align:middle;text-align:center}.mw-parser-output .portalbox-link{display:table-cell;padding:0.2em 0.2em 0.2em 0.3em;vertical-align:middle}@media(min-width:720px){.mw-parser-output .portalleft{clear:left;float:left;margin:0.5em 1em 0.5em 0}.mw-parser-output .portalright{clear:right;float:right;margin:0.5em 0 0.5em 1em}}</style><ul role="navigation" aria-label="Portals" class="noprint portalbox portalborder portalright"> <li class="portalbox-entry"><span class="portalbox-image"><span class="noviewer" typeof="mw:File"><a href="/wiki/File:Nuvola_apps_edu_mathematics_blue-p.svg" class="mw-file-description"><img alt="icon" 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If you would like to participate, please visit the project page, where you can join <a href="/wiki/Wikipedia_talk:WikiProject_Mathematics" title="Wikipedia talk:WikiProject Mathematics">the discussion</a> and see a list of open tasks.<span class="metadata wpb-metadata"><span class="wpb-project">Mathematics</span><span class="wpb-project_link">Wikipedia:WikiProject Mathematics</span><span class="wpb-banner_name">Template:WikiProject Mathematics</span><span class="wpb-assessment_cat">mathematics articles</span></span></td><td class="mbox-empty-cell"></td></tr></tbody></table></td></tr></tbody></table></td></tr></tbody></table> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Format" data-mw-thread-id="h-Format"><span data-mw-comment-start="" id="h-Format"></span>Format<span data-mw-comment-end="h-Format"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Template_talk:Logical_connectives&action=edit&section=1" title="Edit section: Format"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>For each of the 16 operators, I'd like to see some of these sections: </p> <ul><li>Definition</li> <li>Properties</li> <li>Symbol</li> <li>Natural Language/Rhetoric/Colloquial usage</li> <li>Venn Diagram</li> <li>Boolean Algebra</li> <li>Computer Science</li> <li>See also</li></ul> <div class="mw-heading mw-heading2 ext-discussiontools-init-section"><h2 id="Contradiction_vs_"False"" data-mw-thread-id="h-Contradiction_vs_"False"-2012-02-26T19:37:00.000Z"><span id="Contradiction_vs_.22False.22"></span><span data-mw-comment-start="" id="h-Contradiction_vs_"False"-2012-02-26T19:37:00.000Z"></span>Contradiction vs "False"<span data-mw-comment-end="h-Contradiction_vs_"False"-2012-02-26T19:37:00.000Z"></span></h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Template_talk:Logical_connectives&action=edit&section=2" title="Edit section: Contradiction vs "False""><span>edit</span></a><span class="mw-editsection-bracket">]</span></span><div class="ext-discussiontools-init-section-bar"><div class="ext-discussiontools-init-section-metadata"></div><div class="ext-discussiontools-init-section-actions"></div></div></div> <p><span data-mw-comment-start="" id="c-Incnis_Mrsi-2012-02-26T19:37:00.000Z-Contradiction_vs_"False""></span>Would somebody object if I change the bottommost link to a newly created <a href="/wiki/False_(logic)" title="False (logic)">False (logic)</a>? A "<a href="/wiki/Contradiction" title="Contradiction">contradiction</a>" (a statement which entails the false) has it light side counterpart – it is a <a href="/wiki/Theorem" title="Theorem">theorem</a> (a statement, entailed by the truth/tautology), but not a <a href="/wiki/Tautology_(logic)" title="Tautology (logic)">tautology (logic)</a> itself. <a href="/wiki/User:Incnis_Mrsi" title="User:Incnis Mrsi">Incnis Mrsi</a> (<a href="/wiki/User_talk:Incnis_Mrsi" title="User talk:Incnis Mrsi">talk</a>) <a href="https://en.wikipedia.org/wiki/Template_talk:Logical_connectives#c-Incnis_Mrsi-2012-02-26T19:37:00.000Z-Contradiction_vs_"False"" class="ext-discussiontools-init-timestamplink">19:37, 26 February 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Incnis_Mrsi-2012-02-26T19:37:00.000Z-Contradiction_vs_"False""><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Incnis_Mrsi-2012-02-26T19:37:00.000Z-Contradiction_vs_"False""></span> </p> <dl><dd><span data-mw-comment-start="" id="c-Incnis_Mrsi-2012-03-02T04:51:00.000Z-Incnis_Mrsi-2012-02-26T19:37:00.000Z"></span>This <a class="external autonumber" href="https://en.wikipedia.org/w/index.php?title=Template:Logical_connectives&curid=11880314&diff=479757254">[1]</a> is an outcome worse than either "<a href="/wiki/Contradiction" title="Contradiction">Contradiction</a>" or "<a href="/wiki/False_(logic)" title="False (logic)">False</a>". Wikipedia <a href="/wiki/Wikipedia:EGG" class="mw-redirect" title="Wikipedia:EGG">may not hide</a> the link to false under the display title "Contradiction". <a href="/wiki/User:Incnis_Mrsi" title="User:Incnis Mrsi">Incnis Mrsi</a> (<a href="/wiki/User_talk:Incnis_Mrsi" title="User talk:Incnis Mrsi">talk</a>) <a href="https://en.wikipedia.org/wiki/Template_talk:Logical_connectives#c-Incnis_Mrsi-2012-03-02T04:51:00.000Z-Incnis_Mrsi-2012-02-26T19:37:00.000Z" class="ext-discussiontools-init-timestamplink">04:51, 2 March 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Incnis_Mrsi-2012-03-02T04:51:00.000Z-Incnis_Mrsi-2012-02-26T19:37:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Incnis_Mrsi-2012-03-02T04:51:00.000Z-Incnis_Mrsi-2012-02-26T19:37:00.000Z"></span></dd></dl> <dl><dd><dl><dd><span data-mw-comment-start="" id="c-Gregbard-2012-03-02T05:34:00.000Z-Incnis_Mrsi-2012-03-02T04:51:00.000Z"></span>I'm open minded to how to organize things. However, upon reflection, I think <a href="/wiki/Contradiction" title="Contradiction">Contradiction</a> is more appropriate. We just need to make sure there is some relevant content at linked articles. The falsum, or tee symbols stand for an arbitrary contradiction, or tautology as the case may be. It is a "nullary" logical connective. This is consistent with the behavior of truth functions and arities, etcetera. If there is to be an article about "false" is has to be about the concept of the truth value.<a href="/wiki/User:Gregbard" title="User:Gregbard">Greg Bard</a> (<a href="/wiki/User_talk:Gregbard" title="User talk:Gregbard">talk</a>) <a href="https://en.wikipedia.org/wiki/Template_talk:Logical_connectives#c-Gregbard-2012-03-02T05:34:00.000Z-Incnis_Mrsi-2012-03-02T04:51:00.000Z" class="ext-discussiontools-init-timestamplink">05:34, 2 March 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Gregbard-2012-03-02T05:34:00.000Z-Incnis_Mrsi-2012-03-02T04:51:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Gregbard-2012-03-02T05:34:00.000Z-Incnis_Mrsi-2012-03-02T04:51:00.000Z"></span> <dl><dd><span data-mw-comment-start="" id="c-Incnis_Mrsi-2012-03-02T14:57:00.000Z-Gregbard-2012-03-02T05:34:00.000Z"></span>Sadly, I am not native in English math terminology, which apparently is quite confusing in this domain. Nobody around knows all definitions of "⊥", which logical systems use it as a basic symbol, and how definitions are related. <i>The falsum</i>… <i>stand for an arbitrary contradiction</i>… <i>it is a "nullary" logical connective</i>. If "⊥" is defined as a <b>connective</b>, then it is <b>not "arbitrary"</b>. Enough said. <a href="/wiki/User:Incnis_Mrsi" title="User:Incnis Mrsi">Incnis Mrsi</a> (<a href="/wiki/User_talk:Incnis_Mrsi" title="User talk:Incnis Mrsi">talk</a>) <a href="https://en.wikipedia.org/wiki/Template_talk:Logical_connectives#c-Incnis_Mrsi-2012-03-02T14:57:00.000Z-Gregbard-2012-03-02T05:34:00.000Z" class="ext-discussiontools-init-timestamplink">14:57, 2 March 2012 (UTC)</a><span class="ext-discussiontools-init-replylink-buttons" data-mw-thread-id="c-Incnis_Mrsi-2012-03-02T14:57:00.000Z-Gregbard-2012-03-02T05:34:00.000Z"><span class="ext-discussiontools-init-replylink-bracket">[</span><a class="ext-discussiontools-init-replylink-reply" role="button" tabindex="0" href="">reply</a><span class="ext-discussiontools-init-replylink-bracket">]</span></span><span data-mw-comment-end="c-Incnis_Mrsi-2012-03-02T14:57:00.000Z-Gregbard-2012-03-02T05:34:00.000Z"></span></dd></dl></dd></dl></dd></dl>    </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="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=Template_talk:Logical_connectives&oldid=1233064407">https://en.wikipedia.org/w/index.php?title=Template_talk:Logical_connectives&oldid=1233064407</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Template-Class_mathematics_articles" title="Category:Template-Class mathematics articles">Template-Class mathematics articles</a></li><li><a href="/wiki/Category:NA-priority_mathematics_articles" title="Category:NA-priority mathematics articles">NA-priority mathematics articles</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"> This page was last edited on 7 July 2024, at 02:28<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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