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- Booles_syllogistic abstract "Boolean logic is a system of syllogistic logic invented by 19th-century British mathematician George Boole, which attempts to incorporate the \"empty set\", that is, a class of non-existent entities, such as round squares, without resorting to uncertain truth values.In Boolean logic, the universal statements \"all S is P\" and \"no S is P\" (contraries in the traditional Aristotelian schema) are compossible provided that the set of \"S\" is the empty set. \"All S is P\" is construed to mean that \"there is nothing that is both S and not-P\"; \"no S is P\", that \"there is nothing that is both S and P\". For example, since there is nothing that is a round square, it is true both that nothing is a round square and purple, and that nothing is a round square and not-purple. Therefore, both universal statements, that \"all round squares are purple\" and \"no round squares are purple\" are true.Similarly, the subcontrary relationship is dissolved between the existential statements \"some S is P\" and \"some S is not P\". The former is interpreted as \"there is some S such that S is P\" and the latter, \"there is some S such that S is not P\", both of which are clearly false where S is nonexistent.Thus, the subaltern relationship between universal and existential also does not hold, since for a nonexistent S, \"All S is P\" is true but does not entail \"Some S is P\", which is false. Of the Aristotelian square of opposition, only the contradictory relationships remain intact.".
- Booles_syllogistic thumbnail Square_of_opposition,_set_diagrams.svg?width=300.
- Booles_syllogistic wikiPageID "49460".
- Booles_syllogistic wikiPageLength "2002".
- Booles_syllogistic wikiPageOutDegree "14".
- Booles_syllogistic wikiPageRevisionID "541308032".
- Booles_syllogistic wikiPageWikiLink Boolean_algebra.
- Booles_syllogistic wikiPageWikiLink Category:History_of_logic.
- Booles_syllogistic wikiPageWikiLink Category:Syllogism.
- Booles_syllogistic wikiPageWikiLink Category:Term_logic.
- Booles_syllogistic wikiPageWikiLink George_Boole.
- Booles_syllogistic wikiPageWikiLink Immediate_inference.
- Booles_syllogistic wikiPageWikiLink List_of_Boolean_algebra_topics.
- Booles_syllogistic wikiPageWikiLink Logic.
- Booles_syllogistic wikiPageWikiLink Propositional_calculus.
- Booles_syllogistic wikiPageWikiLink Square_of_opposition.
- Booles_syllogistic wikiPageWikiLink Syllogism.
- Booles_syllogistic wikiPageWikiLink Truth_value.
- Booles_syllogistic wikiPageWikiLink File:Square_of_opposition,_set_diagrams.svg.
- Booles_syllogistic wikiPageWikiLinkText "Boole's syllogistic".
- Booles_syllogistic wikiPageUsesTemplate Template:Unreferenced.
- Booles_syllogistic subject Category:History_of_logic.
- Booles_syllogistic subject Category:Syllogism.
- Booles_syllogistic subject Category:Term_logic.
- Booles_syllogistic hypernym System.
- Booles_syllogistic type Argument.
- Booles_syllogistic comment "Boolean logic is a system of syllogistic logic invented by 19th-century British mathematician George Boole, which attempts to incorporate the \"empty set\", that is, a class of non-existent entities, such as round squares, without resorting to uncertain truth values.In Boolean logic, the universal statements \"all S is P\" and \"no S is P\" (contraries in the traditional Aristotelian schema) are compossible provided that the set of \"S\" is the empty set.".
- Booles_syllogistic label "Boole's syllogistic".
- Booles_syllogistic sameAs Q839405.
- Booles_syllogistic sameAs Bulea_logika_konkluda_sistemo.
- Booles_syllogistic sameAs Silogística_booleana.
- Booles_syllogistic sameAs m.0d52q.
- Booles_syllogistic sameAs Q839405.
- Booles_syllogistic sameAs 布尔三段论.
- Booles_syllogistic wasDerivedFrom Booles_syllogistic?oldid=541308032.
- Booles_syllogistic depiction Square_of_opposition,_set_diagrams.svg.
- Booles_syllogistic isPrimaryTopicOf Booles_syllogistic.