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.
The below statement is false. The above statement is true. I am lying. I am lying when I say I am lying.
A tautology is a statement that is always true, regardless of the circumstances or conditions.
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.
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.
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.
In computing, this is an AND statement.
A+
not b not a its contrapositive
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.
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.
if a is true, then b must be true
A tautology is a statement that is always true, regardless of the circumstances or conditions.
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.
Yes, the statement Bill is nice is true, given those conditions.
A statement that runs only if the set condition for it is true
Every statement apart from the axioms or postulates.