Am So, 14. Jun 2020, um 09:23, schrieb Bruno Marchal:
> 
>> On 12 Jun 2020, at 11:55, Telmo Menezes <[email protected]> wrote:
>> 
>> Hello all,
>> 
>> I've been reading here often the claim that physics is about the "real 
>> stuff" and math is a human construction that helps us make sense of the real 
>> stuff, but it is just an approximation of reality. So here's a thought 
>> experiment on this topic.
>> 
>> Let us imagine I program a digital computer to keep iterating through all 
>> possible integer values greater than 2 of the variables a, b, c and n. If 
>> the following condition is satisfied:
>> 
>> a^n + b^n = c^n
>> 
>> then the computer turns on a light. I let it run for one year. Will the 
>> light turn on during that year?
>> 
>> So my questions are:
>> 
>> (1) Can you use theoretical physics to make a correct prediction?
> 
> Yes, by using the idea (in theoretical physics) that the physical reality 
> cannot contradict elementary arithmetic.

We agree.

>> (2) Can you use math to make a correct prediction?
> 
> 
> Yes, by assuming that the physical reality will not contradict Wiles’ proof 
> of Fermat.
> 
> 
> 
>> 
>> Notice that I am asking a question that is as hard-nosed as it can be. No 
>> metaphysics, just a question about an observable event in a physical system 
>> during a well-defined time period. Will the light turn on?
>> 
>> What gives?
> 
> I have done the experience, and the light turned on during that year. My 
> prediction was false, and I thought that an experiment suggest something went 
> wrong in Wiles proof. Then I woke up :) 

This is the problem with putting too much faith in numbers, it may always be 
that one can still wake up :) (a little provocation)

Telmo

> Bruno
> 
> 
> 
> 
>> 
>> Best,
>> Telmo
>> 
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