antilogism

noun

Meaning

A set of three propositions that are mutually inconsistent, such that if any two are true, the third must be false.

Examples

  • The professor used an antilogism to demonstrate the logical impossibility of the proposed theory.
  • By identifying the antilogism in the argument, the students were able to pinpoint exactly where the reasoning failed.

Synonyms: contradiction, inconsistency, paradox, incompatibility