Is the self all that can be known to exist?

[Edwardo Piet]

Dialetheism is the view that there are dialetheias. One can define a contradiction as a couple of sentences, one of which is the negation of the other, or as a conjunction of such sentences. Therefore, dialetheism amounts to the claim that there are true contradictions.

This is an example of the fallacy of equivocation.

A statement can't be simultaneously true and false, if you think otherwise you're equivocating.

Source:

http://plato.stanford.edu/entries/dialetheism/