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.
A necessary truth is a statement that is true in all possible circumstances. An example of a necessary truth is "224." This statement will always be true, regardless of any circumstances or conditions.
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.
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.
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.
A tautology is a statement that is always true, regardless of the circumstances or conditions.
if a is true, then b must be true
Yes, the statement Bill is nice is true, given those 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.
This statement is true!! :D
Every statement apart from the axioms or postulates.