Schneider Chan
01/20/2023 · High School
The statement \( \sim P \wedge P \) is a contradiction? True False
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True.
The statement \( \sim P \wedge P \) represents the logical conjunction of \( \sim P \) (not P) and \( P \) (P). For this conjunction to be true, both \( \sim P \) and \( P \) must be true at the same time. However, \( P \) and \( \sim P \) cannot both be true simultaneously; if \( P \) is true, then \( \sim P \) is false, and vice versa. Therefore, the statement \( \sim P \wedge P \) is always false, making it a contradiction.
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The statement \( \sim P \wedge P \) is a contradiction.
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