On 1/19/2014 9:45 AM, Bruno Marchal wrote:
But why should that imply *existence*.
It does not. Unless we believe in the axioms, which is the case for elementary
But what does "believe in the axioms" mean. Do we really believe we can *always* add one
more? I find it doubtful. It's just a good model for most countable things. So I can
believe the axioms imply the theorems and that "17 is prime" is a theorem, but I don't
think that commits me to any existence in the normal sense of "THAT exists".
But then we believe in the existence of prime numbers, and in the many relative
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