Exercise · ZW-PROPOSITION-005 · ★★☆ Intermediate
Let \(P\) be a proposition. Which of the following statements about \(P\) is impossible?
Choose one option.
Show answer
- D. \(P\) is true and false at the same time
Explanation
A proposition has exactly one truth value, so it cannot be true and false at the same time. Being true, being false, or having some truth value are all possible situations.
Review the concept: Proposition
A proposition is a declarative statement that is assigned one of the truth values \(\top\) or \(\bot\).
\[P\in\{\top,\bot\}\]
More practice problems: proposition
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- ZW-PROPOSITION-008 Which of these expressions is not a proposition by itself?
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