Venn Diagrams

# Venn Diagrams - 3/4/11 Topics for Today (11-30) I. II....

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3/4/11 Topics for Today (11-30) I. Categorical Syllogisms II. Using Venn Diagrams to Test for Validity

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3/4/11 I. Categorical Syllogisms Examples 1. Some crimes against property are frauds. 2. All frauds are felonies. 3. Some felonies are crimes against property. 1. All whales are mammals. 2. All mammals are animals with lungs. 3. All whales are animals with lungs 1. No Marxists advocate private property. 2. All conservatives advocate private property. 3. No conservatives are Marxists. 1. No horned animal is a predator. 2. All moose are horned animals. 3. No moose is a predator.
3/4/11 Some Features of Categorical Syllogism Categorical syllogisms have exactly two premises and one conclusion. The premises and the conclusion are all A-, E-, I-, or O- propositions. Categorical syllogisms mention exactly three terms (i.e. classes). Each term occurs in the argument exactly two times. 1. All whales are mammals. 2. Some mammals are land creatures. 3. Some whales are land creatures.

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3/4/11 The Form of Categorical Syllogisms To identify the form of categorical syllogisms, uniformly replace each category mentioned with variables.
3/4/11 II. Using Venn Diagrams to Test for Validity As in propositional logic, the validity of a syllogism is a

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## This note was uploaded on 03/03/2011 for the course PHIL 100 taught by Professor Forte during the Spring '08 term at Bridgewater State University.

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Venn Diagrams - 3/4/11 Topics for Today (11-30) I. II....

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