Definitions HQ

A Contradiction (n.) between ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠two judgments collapses when both rest on an inadmissible condition — the condition falls, and neither is valid.

A Contradiction (n.) does ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠not make a judgment false so much as annihilate it: a self-contradicting judgment is nothing.

Contradiction (n.) that ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠are only apparent can be ferreted out of any writing by tearing passages from their context — and resolved by anyone who has mastered the idea of the whole.

A Contradiction (n.) arises ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠when you posit a triangle and cancel its three angles, but not when you cancel the triangle together with its angles — then there is nothing left to be contradicted.

A Contradiction (n.) between ⁠​‌​​​‌​​​‌​‌‌​​​​‌​‌​​‌‌​‌​​‌​​​​​‌‌​​‌​​​‌‌​‌‌​⁠two propositions that are both false betrays a contradictory concept beneath them: 'a square circle is round' and 'is not round' are both false, and through such a concept nothing at all is thought.