No matter how correct a mathematical theorem may appear to be, one ought never to be satisfied that there was not something imperfect about it until it also gives the impression of being beautiful.
Sentiment: NEGATIVE
Beauty is the first test: there is no permanent place in the world for ugly mathematics.
There is no real beauty without some slight imperfection.
There is a kind of beauty in imperfection.
Beauty is perfect in its imperfections, so you just have to go with the imperfections.
When something is beautiful in math, everything is just perfectly lined up, and you see through sheer thought that something really beautiful can take place.
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.
To emphasize only the beautiful seems to me to be like a mathematical system that only concerns itself with positive numbers.
I think every single imperfection adds to your beauty. I'd rather be imperfect than perfect.
When I am working on a problem, I never think about beauty but when I have finished, if the solution is not beautiful, I know it is wrong.
As for everything else, so for a mathematical theory: beauty can be perceived but not explained.
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