But this is a circular statement; You can't say anything meaningful about inconsistent systems because the whole concept of meaning is based on identity/excluded middle/etc. That doesn't mean that identity is some thing actually existing in the universe, though, only that humans can't comprehend how the universe would work without it. In fact, I'm inclined to believe that identity is not an inherent part of the universe, because it can be proven to be impossible to prove.
Even if the red part is true in some inexplicable way, it still means you have
no business treating it like a possibility. You are
forced to treat it as an existing thing. You can't not-do it. Even me saying "Even if it's true in some inexplicable way..." might as well have been "sdkjghsdk."
You can't even make an argument that "we must treat it like an existing thing because we're forced to, but that such is a part of the human condition and that it could be otherwise even if we can't comprehend that"; even
that is outside your ability to say because even
that is equivalent to "dslkglkdjgs."
You keep treating these things that you're saying as though you're conveying something to me but you're not; you're saying dslkgjhsldkgjlksd. The illusion that you're saying something that I can grasp because the words individually mean something is powerful, but it's an illusion. You haven't made an argument for
anything. You've said "Dlkgjdslkgjsljhgsdtg."
I desperately wish I could find the quote from Bertrand Russell where he's talking about "the set of all sets which do not contain themselves." He explains it better than I've been able to: that it seems meaningful to say there is not a "set of all sets which do not contain themselves," but that
even saying that one does not exist is nonsense because the
thing said not to exist in the statement isn't a thing at all, it's dglksjdhglskd. Saying it doesn't exist is affording it the concession that it's a possibility or that the words strung together mean something that can be either true or false,
but the words strung together don't mean anything at all and can't be uttered as though they do once the paradox is understood.
It's not just false,
it never had the potential to be true or false in the first place because "dslkghsdlkhg" isn't true or false. That's what I'm trying to get at but I'm having difficulty doing it, and I can't find Russell's extremely eloquent quote that might impart an understanding of the concept I'm trying to convey better than I've been able to do it.
But because we started by rejecting the excluded middle, the middle can entirely be both true and false, and this is not a problem. Also, "only consistent" can only be reached by contradicting one of the axioms.
Again, playing devil's advocate by pretending we're talking about something here and not just clapping our hands and spinning in circles while urinating ourselves (which we might as well be doing when questioning identity), the moment you get ¬(P & ¬P) then you also get ¬[(P & ¬P)]. Let me try it like this:
X = (P & ¬P)
Y = ¬(P & ¬P)
X --> X & Y
X & Y --> Y & ¬X
Y
You will always end up with ¬(P & ¬P) because as soon as Y enters the picture, ¬X becomes the case.
I don't believe treating not doing things as an action makes any sense at all. Can I not walk on the ceiling?
Not walking on the ceiling is part of the identity of the physical laws
So length does exist as something other than a generalization? Because that's what the logic I think you're arguing for implies.
A meterstick would still be the same length if all sentient life disapeared, unable to generalize "length" from it. Yes.
But identity is only ontologically necessary because denying it produces a contradiction. But a contradiction being "wrong" is only true if you assume the excluded middle, which an inconsistent universe doesn't.
If you admit that denying identity produces a contradiction then how can you even hypothetically suggest an "inconsistent universe?" That term doesn't even mean anything, it's not even true or false! It's gibberish; it's dskljghdlskgd. You have an illusion that it means something because you know what the word "inconsistent" means and you know what the word "universe" means but putting them together doesn't create something that may be true or false any more than if I suggested the air might be slippery and that this chat box tastes purple. I haven't said anything in that last sentence!