Hi Bruno,

Could you eleborate a bit about how "Computability is the only notion immune to Cantor's diagonalization"?

Onward!

Stephen

On 12/1/2011 4:21 AM, Bruno Marchal wrote:
I have an original thesis on that. Not only Babbage discovered the universal machine, but he discovered the equivalent of Church thesis, which is the key notion to understand that the universal machine is truly universal. Universality = universality with respect to computing, or any digital processes. Computing does not need to be restricted on numbers, but it happens that the natural numbers together with addition and multiplication is Turing universal, so that the numbers' restriction is an apparent restriction. Computability is the only notion immune to Cantor's diagonalization, and that gives a conceptual very deep argument for Church thesis.



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