Direct opposition or repugnancy; inconsistency; incongruity or contrariety; one who, or that which, is inconsistent.
31 principle, in virtue of which we judge false that which involves a contradiction, and true that which is opposed or contradictory to the false
A contradiction is committed whenever propositions that deny one another (contradictory propositions) are both held to be true or both held to be false. E.g., accepting both that "Robins are red" and "Robins are not red" as true is a contradiction.
One of the basic laws of logic which says that "A cannot be non-A." Any two propositions, theories, ideas, beings, substances, conditions, events, etc. are said to be contradictory when to affirm one is to deny the other, or to deny one is to affirm the other. Both cannot be affirmed, and each mutually excludes the other. For example, to affirm, "I do not exist" is contradictory, self-refuting, because one must exist to say "I do not exist." Another example: To affirm that no knowledge is possible is contradictory, since one must know enough to know that whatever one possesses that appears to be knowledge is not actually knowledge; but in "knowing" that state of affairs, one has just contradicted the affirmation itself.
(logic) a statement that is necessarily false; "the statement `he is brave and he is not brave' is a contradiction"
an equation that implies that a false sentence is true
an equation with one variable that has no solution
an incompatibility in live systems seeking goals (consciously held values or positional interests)
an inconsistency or discrepancy, which may give the appearance of an error
a proposition that affirms A and not-A at the same time and in the same sense or respect
a proposition that is always false
a proposition that is necessarily false
a proposition that's inconsistent with itself, like "P and not-P
a statement that is necessarily false (i
A statement that says a thing has contradictory properties is called a contradiction. Properties that a thing cannot possess at the same time and the same respect are called contradictory. All contradictions are false.
A contradiction is an equation that is always false; i.e. 1=0.
An expression is a contradiction if it has no models. Contradictions evaluate to False under all of their interpretations.
refers to the opposition between two propositions which cannot both be false together and cannot both be true together. ( Study 2)
In logic, a contradiction consists of a logical incompatibility between two or more propositions. It occurs when the propositions, taken together, yield two conclusions which form the logical inversions of each other.