Quotessence
Home / Authors / Timothy Gowers Books
Timothy Gowers

Timothy Gowers Books

Mathematician

Mathematics

A source page for quotes linked to Timothy Gowers.

0 quotes

Related Quotes

“What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the principle of mathematical induction. The validity of these premises is an entirely independent matter which can safely be left to philosophers.”

DoeMatterShowsCertainLeftPrinciplesIndependentPhilosopherProofConclusionMathematicalPremisesValidityIrrationalityMathematical Proof
Book:Mathematics
Create image

“At the other end of the spectrum is, for example, graph theory, where the basic object, a graph, can be immediately comprehended. One will not get anywhere in graph theory by sitting in an armchair and trying to understand graphs better. Neither is it particularly necessary to read much of the literature before tackling a problem: it is of course helpful to be aware of some of the most important techniques, but the interesting problems tend to be open precisely because the established techniques cannot easily be applied.”

TryingImportantEndsProblemCoursesLiteratureInterestingExampleObjectsTheorySittingMathematicsTechniqueHelpfulSpectrumTacklingArmchairsGraphs
Author:Timothy Gowers
Create image