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Symbolic Logic Intro Course Deals with Sentential Logic Philosophy 12 INTRODUCTION TO SYMBOLIC LOGIC Winter 2017 Homework 5 1. Define: (5 pts. each) a. Derivable

Symbolic Logic Intro Course

Deals with Sentential Logic

image text in transcribed Philosophy 12 INTRODUCTION TO SYMBOLIC LOGIC Winter 2017 Homework 5 1. Define: (5 pts. each) a. Derivable in SD b. Equivalence in SD 2. Construct derivations in SD to establish these claims: (10 pts. each) a. '(A B) (A B)' is a theorem in SD. b. {A (B C), A B, B & C} is inconsistent in SD. c. The following argument is valid in SD: A (B C) B (C & D) C ( B & D) AD 3. Show that '(A (B C)' and ' A ( B C)' are equivalent in SD+. (10 pts.)

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