Problem_Set_1_solutions

# Problem_Set_1_solutions - V83.0070 Logic Spring 2008 Matt...

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V83.0070 Logic Spring 2008 Matt Kotzen Problem Set 1 Solutions 1.4E: 1b) False. Ex: The sky is blue Grass is green 1d) False. Valid arguments with at least one false premise are unsound. 1f) False. Ex: The sky is blue Grass is green 1h) True. A valid argument is one where it’s impossible for all of the premises to be true while the conclusion is false. So an argument with all true premises and a false conclusion must be invalid. 1j) False. Sound arguments, by definition, have all true premises. 2a) Grass is green Grass is green 2b) Grass is red Grass is red or grass is green 2c) Grass is red Grass is red 2d) Grass is green Bananas are yellow 2e) Grass is green Bananas are red 2f) Grass is red Bananas are red 1.6E: 1a) {Grass is green, Snow is white} 1b) {Grass is green, Snow is red} 1c) Impossible. If all of the members of a set are true, then it’s possible for them all to be true simultaneously, so the set is consistent. 1d) {Grass is red, Snow is red}

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## This note was uploaded on 04/19/2008 for the course PHIL 0070 taught by Professor Kotzen during the Spring '08 term at NYU.

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Problem_Set_1_solutions - V83.0070 Logic Spring 2008 Matt...

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