(November 6, 2016 at 5:26 pm)Cthulhu Dreaming Wrote:(November 6, 2016 at 5:03 pm)Alasdair Ham Wrote: Two things and two things will always be equal to four things whether we call the answer "5" or not.
...except in the hypothetical - apparently magical - universe we are conceptualizing where axiomatically, that is not the case.
5 things is a particular amount that is different to 4. 4 is the same amount as 2+2. In another universe something can be labelled differently, A can be labelled as "B" but A still =A whether it's labelled "B" or not. 4 things are still 4 things/2 things and 2 things is still 2 things and 2 things/1 less than 5 things is still 1 less than 5 things, whether we label it as "4", "5", "elephant", "cheesecake" or "cactus buttsex" or not.
Quote:In that apparently magical universe, 2+2=5 in actuality in every way that 2+2=4 here
That doesn't actually mean anything.
Quote: without violating identity
That does violate identity.,
Quote:and it isn't important to understand how this is so (or whether it makes sense to us) in order to answer the OP's question.
It can't be so because 2+2=4 because of the law of identity and the law of identity applies to the OP even if the OP says it doesn't because even by trying to give a hypothetical universe an identity without an identity, that itself is an identity. And the identity of 2+2 and 3+1 and 5-1 are all 4. They cannot be 5. The label can change but the identity can't if we are talking 2+2 in base 10.
If the OP is talking about 2+2 in a language other than base 10 then that's irrelevant anyway because then he's talking about the concepts/languages of other matematical and logical laws rather than the laws themselves. There can't be a logical or mathematical law where 4 objects is not 4 objects and 2+2 is merely the same thing expressed differently.
Quote:In this hypothetical universe, 2 and 2 things put together equal 5 just as surely as they equal 4 here.
"2 things and 2 things" has the identity of four things. Four things have to be equal to four things, not give things. Other universes can have different concepts of mathematics where four things is labelled as "five things" but it's still four things.
The point is that the mathematical and logical absolutes are absolute. They're everywhere, it doesn't matter what universe or reality it is. A=A. 2 things and 2 things in base 10 is the same as 4 things in base 10. 4 objects are 4 objects. "Oh look, after the two things and two things came together an extra thing appeared"--"Doesn't matter, it was still four things before the extra thing appeared."--"Actually there was no time lag, two things and two things instantly became 5 things" "Two things and two things has the identity of 4 and that's 1 less than 5, sorry try again." "But in this universe..." "Sorry, try again." "But in this universe!!" "Ok, look, are we talking in base 10?" "No, in this universe it isn't base 10." "Well then you're talking about a different language and conceptualization of mathematics, not the law itself" "Oh fuck you're right except I'll never come to realize it. You're arguing with yourself because no one else understands." "I know, but I'm bored okay and I'm not breaking the rules of AF and they haven't told me they don't want me to talk to them about it anymore, k?" "K. You do you." "I do do me." "Why are you talking to yourself? Are you craze-ay?" "Nah, it's like I said, I'm bored because misunderstood." "Touché, myself, touché".