Does the proposition – (Not (Not A)) → A imply (A ʌ -A)?

[Meno2 (Meno_)]

But the law of the excluded middle has very important philosophical implication, therefore, so does the law of identity.

Existentialism has direct connections to the law of the excluded middle. The philosophy in that sense can derive the logic which underlies the existential argument. Historical inevitability reduces to that logic.

[Jakob]

@Meno_

But the law of the excluded middle has very important philosophical implication, therefore, so does the law of identity.

I opposed both, precisely because they have been the ruin of thought.
Neither applies to reality. Both are means to make something different than reality.

Existentialism has direct connections to the law of the excluded middle. The philosophy in that sense can derive the logic which underlies the existential argument. Historical inevitability reduces to that logic.

In real existence, all statements of true fact are subjective statements of states. And such statements will always contradict other occasions where they have been made.
Phenomena have not yet been allowed into logic. Aristotle was really, a really dry sheet of paper.