We may differentiate the state of being or existence and that of not-being, where the last point is the opposite of the first point, so this last term means to be not existent. Now I try to figure out if not-being is not. Does it hold to say that we can't notice something that is not, so since we notice something, not-being is not?
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What is "not-being" ? The absence of being or something else ?
See Parmenides' Poem :
Come now, I shall tell—and convey home the tale once you have heard—/
just which ways of inquiry alone there are for understanding:/
the one, that [it] is and that [it] is not not to be,/
is the path of conviction, for it attends upon true reality,/
but the other, that [it] is not and that [it] must not be,/
this, I tell you, is a path wholly without report:/
for neither could you apprehend what is not, for it is not to be accomplished,/
nor could you indicate it. (Fr. 2)
To inquiry about "what is not" is "a path wholly without report: for neither could you apprehend what is not, [...] nor could you indicate it."
Thus, there is no knowledge, nor way of speaking, about "what is not".