> 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.



> (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 :) 

Bruno




> 
> Best,
> Telmo
> 
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