>
> But, as metamath and other similar computer systems demonstrates pretty 
> well, the fact of entailment from some particular axioms to a particular 
> theorem is rock solid, and can't be undone or changed by culture.
>

That doesn't say anything in particular. Of course the fact that there 
exists some logical derivation can't be changed. But this doesn't mean that 
such logical derivation should be actually discovered by particular 
culture. Even if you restrict your logical foundations to intuitionistic or 
use only analitical functions as your definition that would preclude many 
theorems from being formulated and proved. And which definitions and logic 
is used depends on subjective choice based on culture.

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