> On 26 Aug 2019, at 03:03, Jason Resch <[email protected]> wrote:
> 
> 
> 
> On Sunday, August 25, 2019, Bruce Kellett <[email protected] 
> <mailto:[email protected]>> wrote:
> On Sun, Aug 25, 2019 at 11:03 PM Bruno Marchal <[email protected] 
> <mailto:[email protected]>> wrote:
> On 25 Aug 2019, at 14:01, Bruce Kellett <[email protected] 
> <mailto:[email protected]>> wrote:
>> On Sun, Aug 25, 2019 at 9:39 PM Bruno Marchal <[email protected] 
>> <mailto:[email protected]>> wrote:
>> On 25 Aug 2019, at 10:10, Bruce Kellett <[email protected] 
>> <mailto:[email protected]>> wrote:
>>> The mathematical structure might describe these things, but descriptions 
>>> are not the things they describe.
>> 
>> I think you confuse the mathematical structure, and the theory describing 
>> that mathematical structure. Those are very different things.
>> 
>> I think that is exactly the mistake that you make all the time.
> 
> Where? I don’t remind you ever show this.
> 
> I have said it many times. A mathematical structure is an abstract human 
> construct. Such a structure might go some way towards describing physical 
> reality, but the map is not the territory.
> 
> 
> Bruno is talking about the territory and I think you are confusing it with 
> Bruno talking about the map. 

Exactly. 


> To be clear, axioms in math are just theories to explain the mathematical 
> reality,

OK. Or a mathematical reality, like we can use the theory of groups to study 
one special group among many others. The Master group is an incredible example 
of *a* mathematical reality, for example. It was not obvious that there is a 
biggest finite sporadic simple group. It does not strike the eyes that is has 
808,017,424,794,512,875,886,459,904,961,710,757,005,754,368,000,000,000 
elements!

Bruno



> in the same sense as physical theories do.  Since you presume there is no 
> mathematical reality all you can imagine are maps.
> 
> Jason
> 
> 
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