Is it possible to categorically not exist? The statement "A does not exist, period" is contradictory. A must exist in some way, because a person is making a statement about it. — WISDOMfromPO-MO
The issue you're raising right here is known as the problem of "vacuous singular terms," that is, expressions that look like they refer to a real object, that are constructed just like expressions that do refer to real objects, but do not. Your interpretation, that they exist in some special way, is not the only interpretation available. I see the whole thing as a quirk of our language. Okay, maybe more than a quirk, but at any rate I do not feel compelled at all to say that whatever I talk about exists.
The question is if it is possible for something to in no way, shape, form, constitution, state, etc. exist. — WISDOMfromPO-MO
I took this to mean, is there something that not only does not but
cannot exist, and of course the answer for me will be, sure.
But for you, if anything you talk about or imagine, or whatever, exists in some fashion, then your question is more like this: could there be anything that cannot even be talked about or imagined? And that is a conundrum. If you know that to be true of something, you'd have thought of it, and there you are, it now exists. On the other hand, if there is something no one can imagine, then no one will. That seems to mean that if there is such a thing, you cannot possibly
know that there is such a thing.
EDIT: Hmmm. The phrase "thing I cannot possibly know no one can think of" looks like it refers to something.