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Some theorems may only ever be provable by unintelligible case-by-case brute force; the four colour theorem still has no conceptually elegant proof.

Drawn from what Terence Tao said

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  1. Terence Tao

    Mathematician at UCLA, Fields Medal 2006

    I mean, some problems have been basically solved by pure brute force. The four color theorem is is a famous example. Um, we have still not found a conceptually elegant proof of this theorem.

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