(November 6, 2016 at 4:31 pm)Alasdair Ham Wrote:(November 6, 2016 at 4:22 pm)Cthulhu Dreaming Wrote: Sure there can.
In *this* universe...
1+1=10
7+1=10
9+7=10
9+8=10
...can all be true, but you'd argue that they can't - and that they'd violate identity - and you'd be wrong, because of your myopic view.
Identity means that something is itself. 2+2=4 because 2 things and 2 things is the same as 4 things. That is completely unlike the sums you described which aren't even proper sums because they DO violate identity.
Quote:Similarly, 2+2=4 can be false - and violate identity - in *this* universe.
Like I said, the universe is irrelevant. Tell me why other universes are remotely relevant to A=A.
When you're saying "2+2=4 can be false" you're saying "A=A can be false." No it can't. Adding "in other universes" on the end of it won't get you anywhere. If we're talking about A we're talking about A, regardless of the universe.
2+2=4 is false when the underlying system is base 3. Likewise 1+1=10 in base 2, 7+1=10 in base 8, and so forth. You're only arguing that they're false because of your cognitive bias to base 10. Likewise, you're arguing that what is true in this universe must be true in all possible universes because of your cognitive bias that 2+2=4 which it certainly does here, provided that we're talking about base 10, and we're NOT talking about a system where axiomatically 2+2=5.