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Question
The following statement (p → q) → [(∼p → q) → q] is ______
Options
A fallacy
A tautology
Equivalent to ∼p → q
Equivalent to p → ∼q
MCQ
Fill in the Blanks
Solution
The following statement (p → q) → [(∼p → q) → q] is A tautology.
Explanation:
| p | q | ∼p | p → q | ∼p → q | (∼p → q) → q | (p → q) → [(∼p → q) → q] |
| T | T | F | T | T | T | T |
| T | F | F | F | T | F | T |
| F | T | T | T | T | T | T |
| F | F | T | T | F | T | T |
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Tautology, Contradiction, and Contingency
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