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Lecture Sixteen. Venn diagrams and rules of inference. Thinking in terms of categories. R. C. C = category of cats. R = category of red things. Conversion. STATEMENT CONVERSE A “All S are P ” “All P are S ” E “No S are P ” “No P are S ”
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Lecture Sixteen Venn diagrams and rules of inference
Thinking in terms of categories R C C = category of cats R = category of red things
Conversion STATEMENTCONVERSE A “All S are P” “All P are S” E “No S are P” “No P are S” I “Some S are P” “Some P are S” O “Some S are not P” “Some P are not S”
Contraposition STATEMENTOBVERSE A “All S are P” “All non-P are non-S” E “No S are P” “No non-P are non-S” I “Some S are P” “Some non-P are non-S” O “Some S are not P” “Some non-P are not non-S”
Obversion STATEMENTOBVERSE A “All S are P” “No S are non-P” E “No S are P” “All S are non-P” I “Some S are P” “Some S are not non-P” O “Some S are not P” “Some S are non-P”
References Govier, Trudy. A Practical Study of Argument, 7th edition, Belmont: Wadsworth Cengage Learning, (2010). Hurley, Patrick.. A Concise Introduction to Logic, 11th edition, Boston: Wadsworth Cengage Learning, (2012).