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?
(2) Can you use math to make a correct prediction?

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?

Best,
Telmo

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