Same topic Authors
Quote of the day

We live in a really crazy time when there is information coming at you, and there are so many demands on your time. It really comes down to choosing your own priorities and forgiving yourself a lot and checking your own expectations.

Popular Topics
Success, Acknowledge, Snows, Thank You, Wisdom, Wonder, Glory, Period, Oceans, Happy, Life Is Like, Education, Name, Peace Love, Wonderful, Gossip, Disco, Guru, Difference, Food, Dream, Kindness, Music, Quiet, Organization, Important, Brain, Faith, Scholar, Mother'S Day, Kind, Dance, Excellent, Nice, Bible, Songs, Home, Reality, Motor, Thinking, Positive, Kids, Thought, Bear, Philosophy, Light, Stage, Goodbye, Air, Leadership
Timothy Gowers

. . . the atlas is a manifold. This is a typical mathematician's use of the word "is", and should not be confused with the normal use.

Confused, Manifold, Normal, Science, Typical, Use
Same Author Quotes

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.

Basic, Helpful, Important, Interesting, Problem, Trying

This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.

Abstract, Attitude, Doe, Following, Learning, Mathematics

Although the prime numbers are rigidly determined, they somehow feel like experimental data.

Data, Determined, Experimental, Numbers

A typical mathematician does not actively try to be useful. Individual mathematicians are motivated primarily by a subtle mixture of ambition and intellectual curiosity, and not by a wish to benefit society, nevertheless, mathematics as a whole does benefit society.

Ambition, Curiosity, Math, Primarily, Society

Here is something Category-Theorists like: it is trivial, but not trivially trivial.

Categories, Like, Mathematics, Science, Trivial, Trivially
Similar Quotes