Howard Jacobson

So the mathematician and the artist are companioned in the same dark, and do obeisance to the same gods.

So the mathematician and the artist are companioned in the same dark, and do obeisance to the same gods.

– Howard Jacobson –

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G.H. Hardy

The ‘seriousness’ of a mathematical theorem lies, not in its practical consequences, which are usually negligible, but in the significance of the mathematical ideas which it connects. We may say, roughly, that a mathematical idea is ‘significant’ if it can be connected, in a natural and illuminating way, with a large complex of other mathematical ideas. Thus a serious mathematical theorem, a theorem which connects significant ideas, is likely to lead to important advances in mathematics itself and even in other sciences.

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