P and not P were sittings in a tree K.I.S.S.I.N.G ... ok, just being funny there.

But, in viewing P and not P. The word Not changes the P. Instead of the word Not, how about the words upside down. So, we have upside down P. Is upsidedown P, not P? It looks like a small d. But, we are not calling it d. We are changing the orientation. Would the change cause it to not be what it was in original right side up orientation? Upside down P, is not P? But, it is still P but upside down?

It is P, but it is also not P?

Do we have a Dialetheism?

Dialetheism (from Greek δι- di- 'twice' and ἀλήθεια alḗtheia 'truth' is the view that there are statements that are both true and false. More precisely, it is the belief that there can be a true statement whose negation is also true. Such statements are called "true contradictions", dialetheia, or nondualisms.
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Dialetheism - Wikipedia