When you create something new, you're breaking tradition - which is an act of defiance.
One of the pleasures of looking at the world through mathematical eyes is that you can see certain patterns that would otherwise be hidden.
When you love a problem, its contours, obstacles and resistances are all just part of its character.
You can get a certain amount of pleasure as a mathematical spectator, reading and watching some of the most beautiful arguments that have been created in the history of humanity. But that's too passive.
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