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cleonid comments on The Least Convenient Possible World - Less Wrong
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"Would you say that axioms in math are meaningless?"
They distinguish one hypothetical world from another. Furthermore, some of them can be empirically tested. At present, Euclidean geometry seems to be false and Riemannian to be true, and the only difference is a single axiom.
"They distinguish one hypothetical world from another."
Just like different religions.
"Furthermore, some of them can be empirically tested. "
Empirical tests do not prove a proposition, but increase the odds of its being correct (just like "miracles" would raise the odds in favor of religion).