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Chapter 13: Categorical Propositions

Chapter 13: Categorical Propositions. Categorical Syllogisms (p. 141). Review of deductive arguments Form Valid/Invalid Soundness Categorical syllogisms concern relations among classes. They were first discussed by Aristotle (384-322 BCE). Categorical Propositions (pp. 142-144).

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Chapter 13: Categorical Propositions

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  1. Chapter 13:Categorical Propositions

  2. Categorical Syllogisms (p. 141) • Review of deductive arguments • Form • Valid/Invalid • Soundness • Categorical syllogisms concern relations among classes. • They were first discussed by Aristotle (384-322 BCE)

  3. Categorical Propositions (pp. 142-144) • Categorical Propositions state relations among classes of objects. • Quantity • Universal • Particular • Singular • Quality • Affirmative • Negative

  4. Categorical Propositions (pp. 142-144) • Four forms of categorical propositions • Universal Affirmative (A): All dogs are mammals. • Universal Negative (E): No cats are dogs. • Particular Affirmative (I): Some dogs are collies. • Particular Negative (O): Some dogs are not schnauzers.

  5. Categorical Propositions (pp. 142-144) • Standard form categorical propositions • It has a quantifier, which is either ‘all’, ‘no’, or ‘some’. • It has a subject term, which is immediately to the right of the quantifier. • It has a form of the verb ‘to be’, which is immediately to the right of the subject term. • It has a predicate term, which is immediately to the right of the verb.

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