Exercise · ZW-TAUTOLOGY-002 · ★☆☆ Basic
Which one is a tautology?
Choose one option.
Show answer
- B. P ∨ ¬P
Explanation
\(P\lor\neg P\) is true whether \(P\) is true or false. The other three can be false.
Review the concept: Tautology
A compound proposition \(P\) is a tautology if it is true under every assignment of its components.
\[P\lor\neg P\equiv\top\]
More practice problems: tautology
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- ZW-TAUTOLOGY-006 Under which assignments is a tautology true?
- ZW-TAUTOLOGY-007 Which one is a classic tautology?
- ZW-TAUTOLOGY-008 A tautology has in its final table...
- ZW-TAUTOLOGY-009 Select the tautology.