831703607091 - P ∨ Q(b P Q ∨ ¬ P ∧¬ Q(2 points 2...

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Atsushi Inoue Econ 765: Mathematical Methods for Economists Fall 2009 Problem Set ] 1 Due in class on Tuesday, September 1, at 11:45am 1. A propositional form is called a tautology if it is always true. A propo- sition form is said to be a contradiction if it is always false. Suppose that P and Q are propositions. Using truth tables, determine if each of the following propositional form is a tautology, a contradiction or neither. (a) P ∧¬ (
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Unformatted text preview: P ∨ Q ). (b) ( P ∧ Q ) ∨ ( ¬ P ∧¬ Q ). (2 points) 2. Do exercise A1.3 of Simon and Blume (1994, p.858). Hint: If you want to show that two sets, D and E , are equal, i.e., D = E , you need to prove both D ⊂ E and E ⊂ D . In other words, prove that if x ∈ D then x ∈ E and that if x ∈ E then x ∈ D . (6 points) 3. Do exercise A1.5 of Simon and Blume (1994, p.858). (2 points) 1...
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