can a conjecture be proved by 'empirical' means (observation) ??(adsbygoogle = window.adsbygoogle || []).push({});

i mean let us suppose that exists some functions named [tex] f_{i} (x) [/tex]

so [tex] \sum _{n=0}^{\infty} = \sum _{p} f(p) [/tex]

then an 'empirical' method would be to calculate the 2 sums and compare the error , let us suppose that the error made in the equation above is less or equal than 0.001

so [tex] |\sum _{n=0}^{\infty} - \sum _{p} f(p)| \le 0.001 [/tex]

then , would this be simple coincidence or a fact that our conjecture is true ? , for example physicist and chemists work this way , as an approximation of a theory to our observed reality.

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# Empirical proof of a conjecture

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