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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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2mo 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.

Related Questions

What is a statement that is true only if both parts of the statement are true?

In computing, this is an AND statement.


Which statement must be true about the lines shown?

A+


If the conditional statement is true what must also be true?

not b not a its contrapositive


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.


Is this statement true or false Plagiarizing is acceptable if it is only a phrase or a word.?

Is this statement true or false? Plagiarizing is acceptable if it is only a phrase or a word. Is this statement true or false? Plagiarizing is acceptable if it is only a phrase or a word.


If the statement If the sun is shining then it's not raining is assumed to be true is its reverse If its not raining then the sun must be shining also always true?

No, the reverse statement "If it's not raining then the sun must be shining" is not always true. The original statement implies that if the sun is shining, then it cannot be raining, but it does not guarantee that if it's not raining, the sun must be shining. It leaves room for other weather conditions besides just rain and sunshine.


Which best describes the meaning of the statement if then b?

if a is true, then b must be true


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.


All mots are nice bill is a mot the statement bill is nice is true?

Yes, the statement Bill is nice is true, given those conditions.


Conditional Statement?

A statement that runs only if the set condition for it is true


Which type of statement must be proven true in geometry?

Every statement apart from the axioms or postulates.