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The statement "p if and only if q" is true when both p and q are true, or when both p and q are false.

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Q: What conditions must be met for the statement "p if and only if q" to be true?
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Continue Learning about Philosophy

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The below statement is false. The above statement is true. I am lying. I am lying when I say I am lying.


What is a tautology?

A tautology is a statement that is always true, regardless of the circumstances or conditions.


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One classic example of a paradox is the "liar paradox," which revolves around a statement that cannot consistently be true or false. An example would be the statement "This statement is false." If the statement is true, then it must be false, but if it is false, then it must be true, creating a paradoxical situation.


Can you provide examples of self-contradiction in logic?

Self-contradiction in logic occurs when a statement contradicts itself or leads to a logical inconsistency. One example is the statement "This statement is false." If the statement is true, then it must be false, but if it is false, then it must be true, creating a paradox. Another example is the statement "I always lie," which leads to a similar contradiction.


If you are hungry then you are not happy is assumed to be true is its converse If you are not happy then you must be hungry also always true?

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