Topology

Quotes & Thinkers in Topology

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"A technical argument by a trusted author, which is hard to check and looks similar to arguments known to be correct, is hardly ever checked in detail"

"Number theory swarms with bugs, waiting to bite the tempted flower-lovers who, once bitten, are inspired to excesses of effort!"

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

"Learners should be allowed to find their own levels and explore the paths leading there with as much and as little guidance as each particular case requires."

"Mathematics is primarily a tool for human thought."

"If the proof is correct then no other recognition is needed."

"My own supervisor, William Hodge, the creator of the fertile theory of harmonic forms, was not a genius like Ramanujan but resembled Lefschetz."

3 quotes

🇫🇷Alexander Grothendieck

Mathematics

1928–2014

"The introduction of the digit 0 or the group concept was general nonsense too, and mathematics was more or less stagnating for thousands of years because nobody was around to take such childish steps..."

"It was my lot to plant the harpoon of algebraic topology into the body of the whale of algebraic geometry."

"THEOREM: if G is a locally euclidean, connected, simply connected topological group of dimension n greater than one, then G contains a closed proper subgroup of positive dimension."

"Mathematics is one of the essential emanations of the human spirit, a thing to be valued in and for itself, like art or poetry."

1 quotes

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