On 02 Aug 2016, at 22:23, Brent Meeker wrote:



On 8/2/2016 9:55 AM, Bruno Marchal wrote:
(2) The Church-Turing thesis; and
(3) Arithmetical realism;

(3) is redundant. There is no (2) without (3).

?? Why not? 2+2=4 only expresses a true relation of concepts. It no more entails the reality of 2 and 4 than "Watson was Sherlock Holmes friend." entails the existent of Sherlock Holmes.

All what we use is that "2+2=4" expresses a true relation, as you say.
That is used everywhere in physics too.
"Watson was Sherlock Holmes friend" is not used in physics nor in computer science, and obviously more debatable than "2+2=4".

Bruno




Brent

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