On 2/14/2012 7:56 AM, Bruno Marchal wrote:

On 13 Feb 2012, at 16:54, Stephen P. King wrote:

Dear Bruno,

What limits are there on what can constitute the "constant" that defines a particular model of a non-standard Arithmetic?

Non standard integers are infinite objects.



Hi Bruno,

OK, I am studying this idea. But your answer is confusing. AFAIK, standard integers are infinite objects also, given that they can be defined as equivalence classes where the equivalence relation is "has the same value as X", where X is the integer in question. So how are non-standard integers different?



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