As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
Sentiment: POSITIVE
I try to figure out - intellectually, philosophically, psychologically - what the experience of beauty is.
Beauty is variable, ugliness is constant.
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
Beauty is subjective and should not be limited to only what we see on the outside.
I have a book out called 'The Beauty Equation' and it discusses how off track we have gone in considering beauty.
Beauty arises out of human inspiration.
Mathematics are the result of mysterious powers which no one understands, and which the unconscious recognition of beauty must play an important part. Out of an infinity of designs a mathematician chooses one pattern for beauty's sake and pulls it down to earth.
Beauty is not just physical.
Beauty is composed of an eternal, invariable element whose quantity is extremely difficult to determine, and a relative element which might be, either by turns or all at once, period, fashion, moral, passion.
Beauty is a relation, and the apprehension of it a comparison.