There is any reference to the best staistical approche to check a mathematical conjecture ?
Dear Samir, I think there is not a "best" statistical approach to check a mathematical conjecture; if the conjecture is true, you can work for about 10^10...0 tests/experiments with positive results but you have not mathematically proven the conjecture; if it is false, you can work for about 10^10...0 tests/experiments with positive results but the (10^10...0 + 1)th test (which for some reason you have not tested) is negative. See histories about some past conjecture (Fermat Last Theorem, Poincaré, Goldbach). Gianluca
Yeah, this tool can help falsifying a claim, but never verify that the claim is true.
Thank you for responses. if we look at this article in wilipedia (https://en.wikipedia.org/wiki/Collatz_conjecture ) about Collatz conjecture. It s cited the Undecidable generalization decision. So I'm seeking for algorithmes to have clear vision about if the conjecture is undecidable.
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