> On 17 Dec 2018, at 22:02, Brent Meeker <meeke...@verizon.net> wrote:
> 
> 
> 
> On 12/17/2018 5:36 AM, Bruno Marchal wrote:
>> Mathematics has deep relation with theology, no doubt, but is not a religion 
>> by itself, unless you add some metaphysical hypothesis. 
> 
> Like arithmetic exists.

No. Like “my brain is a digitalisable machine”.


Arithmetic exist is not used anywhere. 0 exists, s(0) exists, RA exists (or is 
represented in arithmetic), PA exists, ZF exists, but arithmetic (the 
model/reality) exist in the mind of number. It is phenomenological, except for 
the sigma_1 complete base, without which we cannot even define “mechanism” 
rigorously.

Bruno



> 
> Brent
> 
>> With mechanism added, the arithmetical truth does get a religious aspect, 
>> because we understand that we cannot define it without assuming a bigger 
>> thing that we cannot define.
> 
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