Bertrand Russell on Beauty

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Mathematics, rightly viewed, possesses not only truth, but supreme beauty – a beauty cold and austere, like that of sculpture, without appeal to any part of our weaker nature, without the gorgeous trappings of painting or music, yet sublimely pure, and capable of a stern perfection such as only the greatest art can show. The true spirit of delight, the exaltation, the sense of being more than Man, which is the touchstone of highest excellence, is to be found in mathematics as surely as in poetry.
Bertrand Russell
I do not understand where the 'beauty' and 'harmony' of nature are supposed to be found. Throughout the animal kingdom, animals ruthlessly prey upon each other. Most of them are either cruelly killed by other animals or slowly die of hunger. For my part, I am unable to see any very great beauty or harmony in the tapeworm. Let it not be said that this creature is sent as a punishment for our sins, for it is more prevalent among animals than among humans. I suppose what is meant by this 'beauty' and 'harmony' are such things as the beauty of the starry heavens. But one should remember that the stars every now and again explode and reduce everything in their neighborhood to a vague mist. Beauty, in any case, is subjective and exists only in the eye of the beholder.
Bertrand Russell