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Independent Quotes

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Independent Quotes

“The idea of an isolated American painting , so popular in this country during the thirties, seems absurd to me, just as the idea of a purely American mathematics or physics would seem absurd... And in another sense, the problem doesn't exist at all; or, if it did, would solve itself: An American is an American and his painting would naturally be qualified by the fact, whether he wills or not. But the basic problems of contemporary painting are independent of any one country.”

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Book:Jackson Pollock, 1912-1956

Source: Jackson Pollock, 1912-1956

“I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn about and gather together. Then there is a sort of inevitable development in those fields. You get to the point where a certain theorem is bound to be proved, independent of any particular individual, because it is just in the path of development.”

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Author:William Thurston

“The elegance of a mathematical theorem is directly proportional to the number of independent ideas one can see in the theorem and inversely proportional to the effort it takes to see them.”

Ideas Numbers Effort Mathematics Independent Mathematical Elegance Theorems

Author:George Polya

“How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality?”

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Book:A Stubbornly Persistent Illusion: The Essential Scientific Works of Albert Einstein

Source: A Stubbornly Persistent Illusion: The Essential Scientific Works of Albert Einstein

“The validity of mathematical propositions is independent of the actual world-the world of existing subject-matters-is logically prior to it, and would remain unaffected were it to vanish from being. Mathematical propositions, if true, are eternal verities.”

Ifs World Matter Subjects Eternal Logic Mathematics Independent Mathematical Propositions Subject Matter Validity

Book:The pastures of wonder: the realm of mathematics and the realm of science

Source: The pastures of wonder: the realm of mathematics and the realm of science

“It is the invaluable merit of the great Basle mathematician Leonard Euler, to have freed the analytical calculus from all geometric bounds, and thus to have established analysis as an independent science, which from his time on has maintained an unchallenged leadership in the field of mathematics.”

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Author:Thomas Reid

“There exists, if I am not mistaken, an entire world which is the totality of mathematical truths, to which we have access only with our mind, just as a world of physical reality exists, the one like the other independent of ourselves, both of divine creation.”

Ifs World Mind Reality Truth Mistake Creation Divine Mathematics Independent Math Access Mathematical Mistaken Totality

Author:Charles Hermite