MODR 1711 Lecture Notes - Lecture 13: Matryoshka Doll, Deductive Reasoning, Categorical Logic

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Special topic for end of term: legal reasoning. Syllogism: there are 3 propositions (claim/assertion about what is true/not true), 2 of which are premises and one of which is a conclusion. Each proposition has 2 term (subject term, predicate term) Premise 1: all a is inside of b - true. Premise 2: all b is inside of c - true. Conclusion: therefore all a is inside of c - can"t be false (like a russian nesting doll) Deductive logic: moves from the general (all claim) to the particular (philosophical, mathematical, geometric, and ethical reasoning all uses categorical logic, which is deductive) Inductive logic: particular to the general, premises make conclusion probable, but no absolute decision (legal reasoning, crime scene investigation, scienti c reasoning, psychology) Premise 1: all actions that promote group happiness are right. (utilitarianism) Premise 2: giving everyone an a promotes group happiness.

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