antilogism

9.9

Three statements where any two make the third false

noun
/ˌæn.tɪˈlɒdʒ.ɪ.zəm/

Specialized

: antilogismo

If you spot an antilogism in a set of propositions, you know they are inconsistent.

Examples

Every valid syllogism can be reformulated as an antilogism by negating its conclusion.
A logical puzzle may ask you to identify which part of the argument forms an antilogism.
An antilogism is important.
I love antilogism!
In a debate, he demonstrated the concept of an antilogism by showing how two statements could lead to the negation of a third.
Understanding an antilogism is crucial for analyzing logical arguments and identifying contradictions.
The teacher explained that an antilogism consists of two premises that together imply the negation of a third statement.

Surface Forms

antilogism singular

antilogisms plural

Morphology

antilogism = logism (opaque) = anti + logism

The prefix anti- suggests opposition, but the logical technical meaning of the word is specialized and not directly recoverable for an average learner.

Etymology

The word antilogism comes from anti- ('against') and the same root as logic ('reason'). Think of it as a small group of statements where some parts 'go against' the others: two statements can show the third is false, which is why an antilogism means a contradiction.