God, Santa, and The Tooth Fairy

[polymath257]

Thank you for putting that in bold because the key issue is in fact an intelligibility that transcends circumstances. If their maths are true, they will be true in the same way ours is and for the same reasons.

But only if we share the same physical reality. A universe with different physical laws may necessitate different tools to describe and understand it. Is there a way to show that can’t be a possibility?

In particular, different logic and different math.