[reubenf]

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For many years I have suspected but have not proved that this surprising fact may be what is behind certin intractable number theory problems. Goldbach's Conjecture for example. Each time you check out a bigger even number, pure probability reduces the chances that you will find it to be not the sum of two primes. And the sum of those probabilities, if I am not mistaken, converge.

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I am curious what exactly you mean by "the probability that you will find the number n to not be the sum of two primes". I want to know what the word "probability" means in this sentence. It seems very strange.

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I'm really hoping for an answer here, David, because the post I replied to seems nonsensical to me. There isn't a "possible worlds" interpretation of number theory.