On 12/18/2018 4:29 AM, Bruno Marchal wrote:
But mathematical objects are completely defined by their axioms.

No, they are not. All theories containing a bit of arithmetic have an infinity of  non isomorphic models/realities.



OK.  Then how do you judge the truth of unprovable propositions? You can't rely on a model when there are an infinity of different ones.

Brent

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