On 02 Aug 2016, at 22:39, Brent Meeker wrote:



On 8/2/2016 11:05 AM, Bruno Marchal wrote:
Not at all. The existence of the computations is an elementary metatheorem about Robinson Arithmetic, and already a theorem of Peano Arithmetic (still less that what is needed to enunciate Church Thesis).

I don't think you can get existence from axioms. Otherwise I could take "unicorns exist" as an axiom and they would.

You can, and if you derive the physical laws from the existence of unicorn, then it might be an interesting theory. But more people believe that 2+2 = 4, than in the existence of unicorn, and no interesting results have ever been obtained from the existence of unicorn.

Bruno




Brent

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http://iridia.ulb.ac.be/~marchal/



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