The Universal Aesthetics of Mathematics
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Can a proof be objectively beautiful? It is not a surprising claim that the search for beauty, both in theorems and in proofs, is one of the great pleasures of engaging with mathematics.
Theorems can be “deep,” “profound,” “surprising,” or “derivative” and “boring”; conjectures can be “daring,” “bold,” “natural,” and...
The mathematician’s patterns, like those of the painter’s or the poet’s, must be beautiful; the ideas, like the colors or the words, must fit together in a harmonious way (G. H. Hardy ).
Why are numbers beautiful? It’s like asking why is Beethoven’s Ninth Symphony beautiful. If you don’t see why, someone can’t tell you. I know numbers are beautiful. If they aren’t beautiful, nothing is (Paul Erdős ).
A scientist worthy of the name, above all a mathematician, experiences in his work the same impression as an artist; his pleasure is as great and of the same nature (H. Poincaré ).
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