If one acknowledges no generally valid principles of art criticism, then as an artist one is essentially playing tennis without a net.
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Replying to @MathPrinceps @vihartvihart
Art without constraint tends to degenerate into self-indulgence, just as power without accountability leads to damaging abuses.
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Replying to @vihartvihart
I think a large part of the artist's creative obligation is to devise fruitful constraints. One must not only play the game, but invent it.
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Replying to @MathPrinceps @vihartvihart
And, having invented it, one must scrupulously referee one's own play. But most important, of course, is to prove its aesthetic fertility.
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Replying to @vihartvihart
Well, I would argue that examples are present in the lives of great artists from Bach to Grothendieck. Certainly this is where I find them.
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Replying to @MathPrinceps @vihartvihart
I rather doubt that anything very illuminating can be said in 140 characters about the practical influence of such examples in my life.
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Replying to @MathPrinceps @vihartvihart
Perhaps you are more sanguine, and therefore more inclined to make the attempt? If so, then I am all eagerness to listen and to learn.
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Replying to @MathPrinceps @vihartvihart
Beyond this, I can only think to add that the practice of mathematics itself provides endless examples of the process I've alluded to above.
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Mathematicians devise the rules of their own games, prove through their play the fertility thereof, and scrupulously referee their own play.
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