Show that the following statement pattern is contingency. p ∧ [(p → ~ q) → q] - Mathematics and Statistics

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Sum

Show that the following statement pattern is contingency.

p ∧ [(p → ~ q) → q]

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Solution

p q ~q p→~q (p→~q)→q p∧[(p→~q)→q]
T T F F T T
T F T T F F
F T F T T F
F F T T F F

Truth values in the last column are not identical. Hence, it is contingency.

  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Exercise 1.6 [Page 16]

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