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A dialetheia is a statement which is paradoxical through the fact that it is both true and false at the same time.

As such, it is incompatible with Aristotle's Law of the Excluded Middle and Principle of Non-Contradiction, and therefore does not in general appear in the context of conventional mathematics.

Also see

  • Results about dialetheia can be found here.

Linguistic Note

It is uncertain whether the word dialetheia actually a singular or plural form.

As the term is of limited use in the context of $\mathsf{Pr} \infty \mathsf{fWiki}$, we are less than concerned.