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Unformatted text preview: 12/10/2011 1 Logic and Reasoning PHIL 102 [13] 12 Oct 2011 Rest of chapter 7 Deductive reasoning: Categorical logic VENN Diagrams  • Venn diagram = graphical representation of the logical relations Invented by John Venn 1834  1923 Four types of categorical statements subject – predicate form (shaded region = empty) Asentences All S are P Four types of categorical statements subject – predicate form Esentences No S are P Four types of categorical statements subject – predicate form Isentences Some S are P Four types of categorical statements subject – predicate form Osentences Some S are not P S P 12/10/2011 2 S P A E O I • When do two categorical statements say the same thing? Examples: No S are P = No P are S • When do two categorical statements say the same thing? Examples: No S are P = No P are S • When do two categorical statements say the same thing? Examples: Some S are P = Some P are S • When do two categorical statements say the same thing? Examples: Some S are P = Some P are S • When do two categorical statements say the same thing? Examples: All S are P = No S are P 12/10/2011 3 • When do two categorical statements say the same thing? Examples: All S are P ≠ No S are P • When do two categorical statements say the same thing? Examples: All S are P ≠ No S are nonP • When do two categorical statements say the same thing?...
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This note was uploaded on 12/20/2011 for the course PHIL 102 taught by Professor Rug during the Fall '11 term at University of Illinois, Urbana Champaign.
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