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Felix Klein

"Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions."

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"Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions."

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A.E. Samaan

"You can not apply mathematics as long as words still becloud reality."

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A.E. Samaan

"I have in later years taken to Euclid, Whitehead, Bertrand Russell, in an elemental way."

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A.E. Samaan

"No more Lastrygonians. Ella fluttered down and landed next to them. "Six minus six is zero. Spears are good for subtraction, yep."

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A.E. Samaan

"Few rounds.... I am damn good mathematician!2 999 999 999 999 999 999 + 11 999 999 999 999 999 999 = 14 999 999 999 999 999 998."

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A.E. Samaan

"The infinite in mathematics is alway unruly unless it is properly treated."

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A.E. Samaan

""Obvious" is the most dangerous word in mathematics."

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A.E. Samaan

"In mathematics we have long since drawn the rein, and given over a hopeless race."

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A.E. Samaan

"He calculated the number of bricks in the wall, first in twos and then in tens and finally in sixteens. The numbers formed up and marched past his brain in terrified obedience. Division and multiplication were discovered. Algebra was invented and provided an interesting diversion for a minute or two. And then he felt the fog of numbers drift away, and looked up and saw the sparkling, distant mountains of calculus."

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Felix Klein
"Thus, in a sense, mathematics has been most advanced by those who distinguished themselves by intuition rather than by rigorous proofs."
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Felix Klein
"The developing science departs at the same time more and more from its original scope and purpose and threatens to sacrifice its earlier unity and split into diverse branches."
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Felix Klein
"The greatest mathematicians, as Archimedes, Newton, and Gauss, always united theory and applications in equal measure."
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Felix Klein
"Everyone knows what a curve is, until he has studied enough mathematics to become confused through the countless number of possible exceptions."
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