Question

A tautology is a statement that is always true (no matter the truth values of the inputs). A contradiction is a statement that is always false (no matter the truth values of the inputs). Is the following statement a tautology, contradiction, neither or both? ~ P ? P Neither Both Contradiction Tautology

          A tautology is a statement that is always true (no matter the truth values of the inputs).
A contradiction is a statement that is always false (no matter the truth values of the inputs).
Is the following statement a tautology, contradiction, neither or both?
~ P ? P
Neither
Both
Contradiction
Tautology

A tautology is a statement that is always true (no matter the truth values of the inputs).
A contradiction is a statement that is always false (no matter the truth values of the inputs).
Is the following statement a tautology, contradiction, neither or both?
P ? P
Neither
Both
Contradiction
Tautology

Added by Jeffrey M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

03/28/2023

Step 1

This statement is saying that the negation of $P$ is equal to $P$ itself. Now, let's consider the possible truth values of $P$: Show more…

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A tautology is a statement that is always true (no matter the truth values of the inputs) A contradiction is a statement that is always false (no matter the truth values of the inputs). Is the following statement a tautology, contradiction, neither or both? ~P ⇒ P Neither Both Contradiction Tautology