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2. For statements P, Q, and R: (a) Show that .P ! Q/ ^ P ! Q is a tautology. Note: In symbolic logic, this

2. For statements P, Q, and R:

(a) Show that .P ! Q/ ^ P ! Q is a tautology. Note: In symbolic logic, this is an important logical argument form called modus ponens.

(b) Show that .P ! Q/ ^ .Q ! R/ ! .P ! R/ is a tautology. Note: In symbolic logic, this is an important logical argment form called syllogism.

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