test_2_Answer_key_WEB

test_2_Answer_key_WEB - University of Toronto PHL 245...

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1 University of Toronto PHL 245 Modern Symbolic Logic Test 2 Instructor Sorin Bangu August 2nd, 2005 -- LM 159 45 minutes (8:10 – 8:55 PM) Worth 30% of the final grade. Answer all questions. Staple this page with your answers. Write your name and student # on every page you return. ANSWER KEY St. # First name (print) Last name (print) 1) Show that this argument is valid in SD+: ( 15 ) ____________________ Solution: a) 1 2 A B B C Assumption Assumption 3 4 5 6 7 8 9 A B C C B A A C Assumption 1, 3 E 2, 4 E Assumption 2, 6 E 1, 7 E 3-5, 6-8 I A B B C A C
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2 2) Symbolize and show that the following set of sentences is inconsistent in SD+: ( 15 marks) If motorcycling is dangerous, then sailboating is also dangerous, and if sailboating is dangerous then parachuting is dangerous. Motorcycling is dangerous but parachuting is not. ________________________ Solution:
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test_2_Answer_key_WEB - University of Toronto PHL 245...

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