> On 18 Dec 2018, at 21:31, Brent Meeker <meeke...@verizon.net> wrote:
> 
> 
> 
> On 12/18/2018 4:48 AM, Bruno Marchal wrote:
>>> It is disingenuous to imply that whomever believes "2+2=4" is thereby 
>>> committed to believing arithmetic is consistent or even that it is well 
>>> defined.
>> What could mean “2+2=4” for someone not believing in the consistency of 
>> elementary arithmetic? 
> One could easily believe 2+2=4 without believing there are infinitely many 
> numbers.


Absolutely. That is the difference between RA (and PA) with ZF. ZF believes 
that there is an infinity of numbers, where RA and PA just stay mute.

RA (not PA) can even consistently believe that there is a biggest natural 
number. No problem.

Bruno



> 
> Brent
> 
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