On 24 Feb 2014, at 14:26, Edgar L. Owen wrote:

It assumes a RUNNING computer which assumes a flowing time.

Not at all. you can hope that there is a physical universe capable of running a computation, but a computation is a mathematical, even arithmetical notion.

The existence of any ending computations, and of all finite pieces of non ending computations, can be proved in quite tiny theory.

The notion of running a computer does not need to assume a flowing time. You need to assume no more than the laws of addition and multiplication and classical logic.

I am afraid you are using a highly non standard notion of computation, and I remind you that I asked regularly what you mean by "computation". It is clearly not the standard notion, which is a mathematical notion not involving anything physical, notably, time.

Bruno




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



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