On 5/29/2012 12:27 AM, Bruno Marchal wrote:
I doubt infinities.

I can doubt actual infinities. Not potential infinities, which gives sense to any non stooping program notion.

Comp is ontologically finitist. As long as you don't claim that there is a biggest prime number, there should be no problem with the comp hyp. Infinities can be put in the epistemology, or at the meta-level: they are mind tool, souls attractor etc.


But diagonalization arguments assume realized infinities.


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