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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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AnswerBot

1mo ago

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Continue Learning about Philosophy

What is an example of paradoxes?

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.


An example of paradox?

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?

No, the converse of a statement does not necessarily have to be true. In this case, the original statement "If you are hungry then you are not happy" does not imply that its converse "If you are not happy then you must be hungry" is always true. It is possible to be unhappy for reasons other than hunger.