Logical Absolutes

[Angrboda]

It wasn't the triviality of proving 2 + 2 = 4, but rather that as abstracts, the numbers seem to reflect metaphysical truths, that there's something underlying them that's ontic in a way that linguistic conventions aren't.

And do the other statements I made also 'reflect metaphysical truths'?

Does it 'reflect a metaphysical truth' to say that a certain chess position allows mate in 3 moves? Because, when it comes down to it, mathematical 'truths' are in the same category as that statement.

We can make a rook move like a bishop, or a queen like a pawn. Mathematical objects are not thusly mutable. 2 + 2 = 4 can only be changed by changing the entire system, but then you've just created an isomorphism.

ETA: The rules of chess which describe mating in three moves constitute a system which is entangled with the laws of logic and mathematics, so your question isn't very informative.