Matches in DBpedia 2014 for { <http://dbpedia.org/resource/Boole's_syllogistic> ?p ?o. }
Showing items 1 to 19 of
19
with 100 items per page.
- Boole's_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.".
- Boole's_syllogistic thumbnail Square_of_opposition,_set_diagrams.svg?width=300.
- Boole's_syllogistic wikiPageID "49460".
- Boole's_syllogistic wikiPageRevisionID "541308032".
- Boole's_syllogistic hasPhotoCollection Boole's_syllogistic.
- Boole's_syllogistic subject Category:History_of_logic.
- Boole's_syllogistic subject Category:Syllogism.
- Boole's_syllogistic subject Category:Term_logic.
- Boole's_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.".
- Boole's_syllogistic label "Boole's syllogistic".
- Boole's_syllogistic label "Silogística booleana".
- Boole's_syllogistic label "布尔三段论".
- Boole's_syllogistic sameAs Silogística_booleana.
- Boole's_syllogistic sameAs m.0d52q.
- Boole's_syllogistic sameAs Q839405.
- Boole's_syllogistic sameAs Q839405.
- Boole's_syllogistic wasDerivedFrom Boole's_syllogistic?oldid=541308032.
- Boole's_syllogistic depiction Square_of_opposition,_set_diagrams.svg.
- Boole's_syllogistic isPrimaryTopicOf Boole's_syllogistic.