It is comparatively easy to make clever guesses; indeed there are theorems like "Goldbach's Theorem", which have never been proved and which any fool could have guessed.
G.H. Hardy
Was G.H. Hardy's guess that it is comparatively easy to make clever guesses a clever guess? I have already shared my doubts. Now, instead of discussing Goldbach's Conjecture I'll turn to Ramanujan. If it was easy to make clever guesses, then why was not Hardy able to instantly guess the mathematical brilliance of Ramanujan, but needed Littlewood to discuss in detail Ramanujan's first letter with?
Not only was G.H. Hardy's guess not clever, but also it was not original. It is said someone mentioned Fermat's Last Guess (Theorem) to Gauss and the math wizard replied it was nothing special and he could generate within seconds several similar conjectures. No one mentioned any such conjectures, which makes me think no conjectures were provided (or if they were, they were not particularly interesting to be remembered).
G.H. Hardy
Was G.H. Hardy's guess that it is comparatively easy to make clever guesses a clever guess? I have already shared my doubts. Now, instead of discussing Goldbach's Conjecture I'll turn to Ramanujan. If it was easy to make clever guesses, then why was not Hardy able to instantly guess the mathematical brilliance of Ramanujan, but needed Littlewood to discuss in detail Ramanujan's first letter with?
Not only was G.H. Hardy's guess not clever, but also it was not original. It is said someone mentioned Fermat's Last Guess (Theorem) to Gauss and the math wizard replied it was nothing special and he could generate within seconds several similar conjectures. No one mentioned any such conjectures, which makes me think no conjectures were provided (or if they were, they were not particularly interesting to be remembered).
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