On Mon, Aug 26, 2019 at 11:03 AM Jason Resch <[email protected]> wrote:

> On Sunday, August 25, 2019, Bruce Kellett <[email protected]> wrote:
>
>> On Sun, Aug 25, 2019 at 11:03 PM Bruno Marchal <[email protected]> wrote:
>>
>>> On 25 Aug 2019, at 14:01, Bruce Kellett <[email protected]> wrote:
>>>
>>> On Sun, Aug 25, 2019 at 9:39 PM Bruno Marchal <[email protected]> wrote:
>>>
>>>> On 25 Aug 2019, at 10:10, Bruce Kellett <[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.  To be clear, axioms in math are just theories
> to explain the mathematical reality,
>

Using the word "reality" here just begs the question. Arithmetic (or
mathematics) is nothing more than the product of its axioms. Proofs from
the axioms may not capture all that one might regard as "truth", but that
is really beside the point. Using the word "truth" is just as fraught as
using the term "reality" -- question begging.

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

Maybe the physical reality actually is the territory that we are talking
about.

Bruce

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