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We probably all agree that eventually reducing a difficult problem to a "nice" situation is at the heart of mathematics.

— Beno Eckmann

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Mathematics

More quotes by Beno Eckmann

Together with many other people and after a long development I could prove that a Poincaré duality group of cohomological dimension 2 is the group of a Riemann surface. That was actually a conjecture of Jean-Pierre Serre. "You have to prove it!" he had always insisted.

An Interview with Beno Eckmann (2010)

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Anyone who believes exponential growth can go on forever in a finite world is either a madman or an economist.

Kenneth Boulding to Kenneth Boulding in: United States. Congress. House (1973)

If the doors of perception were cleansed, everything would appear to man as it is: infinite.

William Blake The Marriage of Heaven and Hell (1790)

Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anything, then such and such another proposition is true of that thing.

Bertrand Russell

The land of easy mathematics where he who works adds up and he who retires subtracts.

Núria Añó

Attribution

Quote text and notes from Wikiquote: Beno Eckmann (page history), available under CC BY-SA 4.0. Source quality and labels are our own summary of what Wikiquote records.