The negation of a proposition, or the combination of the proposition and its negation. “A and not-A” is a contradiction.
contradiction
In accordance with our feelings or expectations
intuitive
Practical; based on what works regardless of theoretical considerations, principles, moral implications, or truth.
pragmatic
That which shows itself to be wrong. A self-refuting argument is one in which the conclusion is inconsistent with one or more of the premises.
self-refuting
To go beyond
transcend