(November 6, 2016 at 8:53 am)FallentoReason Wrote: Here's a novel idea: there is such a universe with the law of multiple identities. Now 2 + 2 could have more than one answer.
Nope. You don't understand the implications of what you're saying.
Saying "2+2 could equate to other than 4" is the same as saying "4 could equate to other than 4" or "A does not have to =A" which goes against the law of identity, a law which absolutely must hold in all universes because even if it didn't that itself would be an identity which would imply the truth of it.
A universe without the law of identity is a universe with an identity and so the law of identity still holds.
I laid out 4 premises and a conclusion for this already. I'm tired of repeating myself. I'm tired of debating people telling me that the law of identity doesn't have to exist in other universes when they clearly therefore don't understand the law of identity. The nature of the law of identity itself implies that there can't even be any premises or hypotheticals without implying the truth of it. There can't be anything without the truth of the law of identity.
For the law of identity to be false it would require A to =not A. Which means that if you describe a universe without the law of identity you are describing a universe with it. Do you see now?