On 9/16/2013 5:35 AM, Bruno Marchal wrote:
With computationalism, it is more easy and clear. What exists, at the ontological level, is what make true a sentence like "ExP(x)". So number exists, once we assume arithmetic or combinators ..., because they make true Ex(x = x).
But this notion of 'exists' as 'satisfying a propositional function' is completely different from "kicks back when I kick it" existence. You say "number exists, once we assume arithmetic"; which is about as useful as "hobbits exist once we assume middle Earth".
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