Moreover, if one selects a problem, works on it in isolation for a few years and finally solves it, there is a danger, unless the problem is very famous, that it will no longer be regarded as all that significant.
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 an… - Timothy Gowers
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 an…
- 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. - 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.
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the pr… - Timothy Gowers
What a mathematical proof actually does is show that certain conclusions, such as the irrationality of , follow from certain premises, such as the pr…
A typical mathematician does not actively try to be useful. Individual mathematicians are motivated primarily by a subtle mixture of ambition and int… - Timothy Gowers
A typical mathematician does not actively try to be useful. Individual mathematicians are motivated primarily by a subtle mixture of ambition and int…
Moreover, if one selects a problem, works on it in isolation for a few years and finally solves it, there is a danger, unless the problem is very fam… - Timothy Gowers
Moreover, if one selects a problem, works on it in isolation for a few years and finally solves it, there is a danger, unless the problem is very fam…
Here is something Category-Theorists like: it is trivial, but not trivially trivial. - Timothy Gowers
Here is something Category-Theorists like: it is trivial, but not trivially trivial.
Although the prime numbers are rigidly determined, they somehow feel like experimental data. - Timothy Gowers
Although the prime numbers are rigidly determined, they somehow feel like experimental data.
It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers. - Timothy Gowers
It is obvious that mathematics needs both sorts of mathematicians, theory-builders and problem-solvers.
This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does. - Timothy Gowers
This attitude [the abstract method in mathematics] can be encapsulated in the following slogan: a mathematical object is what it does.
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