Is the proposition ~ P (the negation of 1 + 1 = 2) true or false?
Understand the Problem
The question presents three propositions involving logical statements and asks for the truth value of the negation of proposition P, which states that 1 + 1 = 2. To determine the correct response, we will evaluate the truth of this negation.
Answer
False
The proposition ~P is False.
Answer for screen readers
The proposition ~P is False.
More Information
In logic, negation flips the truth value of a statement. Since the statement '1 + 1 = 2' is true, its negation is false.
Tips
A common mistake is to misinterpret the negation process, which simply means the opposite of the original truth value.
Sources
- 1.1: Compound Statements - Mathematics LibreTexts - math.libretexts.org
- 2.1: Propositions - Mathematics LibreTexts - math.libretexts.org
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