There isn’t really such a thing as “non-being,” except perhaps for a reference to a first person consciousness of "thinking’ in the Sartrean tradition. I like this way specifically because it is a direct realist dualism as opposed to true idealism. It might be considered a kind of epiphenomenalism.
The actual activity of thinking is nothing because it is always about something else. "Thoughts,’ however, are modeled by language and therefore words, which are the entities “in” the thoughts, and the things which can serve as this “something else” that consciousness is engaged with. So the concept, which it is, is an actual object, that is, the word “non-being” is a thing and is directly real while the idea of it isn’t possible when there is reflection because one cannot know non-being.
A word, even if it is a description for the mental concept of absence, has being, can be sensed, and is what consciousness has as its focus when thinking about the word. Also language is sound and is reducible to wave activity which is in turn reducible to physical instances that are universal for all objects, only other objects are too dense to vibrate at such a frequence as to exist as a soundwave. All words are real physical, or should I say sensible for the sensitive rationalists, things which cannot possibly have non-being. Therefore ““non-being”” as an idea is impossible and paradoxical as a word-- to say “this word means nothing” is nonsense.
Do it like Frenchy. The correct way to classify “non-being” is as a negation, or the mental consciousness-of an idea and the affirmation of this activity by thinking. I cannot describe it as thinking because “thinking” isn’t anything. Rather, the contents of thought, such as the words and higher level contextualizations (definitions) are the objects that provide the possibility for the negation, just as the objects that are not experienced are described as having non-being. But these objects are not particulars…they are not individual phenomena, they are classified as being-in-general, so to say that an object which is not experienced does not exist is a mistake. Instead it is by the presence and absence that beings are revealed to thought and consciousness…but nothing is ever truely “not there.”
As I mentioned above, the possiblity to “not experience an object” implies that that object exists to “not be experienced.” Being in general is the necessary feature of any possible particular “thing” and is therefore not contingent to a perspective that is either “there or not.”
Because thinking is captured by language, everything thought is subject to the discrepencies of language gaming, but the fundamental necessary structures of this “event” require that there be certain rules in place for the distingushing of truth values of contingent statements about the being in general. This is how we are captured.