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dm-lec2-sets-p - Homework#1[due 9/7 11AM Show all your work...

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Sets and Logic Chapter 1 Chapter 1 (1.2~1.3 Propositions) S t b 4 2009 September 4, 2009 Homework #1 [due: 9/7 11AM] Show all your work in your homework. Section 1.1 Exercises (p.12~13) – #50~54 – #87~90 – #94 Section 1.2 Exercises (p.20~21) – #49~54 – #68,69,71,72 S ( ) Section 1.3 Exercises (p.31) – #75 [email protected] CS204 Discrete Math (Fall 2009) 2 1.2 Propositions • Proposition – A sentence that is either true or false , but not both. Exercise : Which sentences are propositions? a) For every positive integer n there is a prime number larger For every positive integer n, there is a prime number larger than n. b) Earth is the only planet in the universe that contains life. c) Are you a student? d) Bring me a cup of coffee. e) X+5 = 10 f) John loves Mary John loves Mary. g) It rains today. In logic or philosophy, the term proposition refers to meaning ” of a meaningful declarative sentence. [email protected] CS204 Discrete Math (Fall 2009) 3 Logic Logic: study of reasoning. – Specifically concerned with whether reasoning is correct – Focuses on the relationship among statements as opposed to the content of any particular statement.
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