\begin{definition}[Definition:Dialetheia]
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 {{AuthorRef|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.
\end{definition}