What does the statement p → q represent in logic?
Understand the Problem
The question discusses logical statements involving propositions and their truth values. It explores various logical expressions and their implications using examples with 'p' and 'q'.
Answer
False only when p is true and q is false.
The statement p → q is false only when p is true and q is false.
Answer for screen readers
The statement p → q is false only when p is true and q is false.
More Information
In logic, the implication p → q means that if p is true, q must also be true. If p is true and q is false, the implication is false.
Tips
A common mistake is thinking p → q is false if both p and q are false, but it's true.
Sources
- What does → mean in p→q - Math Stack Exchange - math.stackexchange.com
- Can someone explain the 'if P then Q' logic statement - reddit.com
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