I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that people learn about and gather together. Then there is a sort of inevitable development in those fields. You get to the point where a certain theorem is bound to be proved, independent of any particular individual, because it is just in the path of development.
I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that… - William Thurston
I think mathematics is a vast territory. The outskirts of mathematics are the outskirts of mathematical civilization. There are certain subjects that…
- William Thurston
The real satisfaction from mathematics is in learning from others and sharing with others. - William Thurston
The real satisfaction from mathematics is in learning from others and sharing with others.
Math is really about the human mind, about how people can think effectively, and why curiosity is quite a good guide. - William Thurston
Math is really about the human mind, about how people can think effectively, and why curiosity is quite a good guide.
Mathematics is an art of human understanding. - William Thurston
Mathematics is an art of human understanding.
The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of … - William Thurston
The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of …
We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing… - William Thurston
We humans have a wide range of abilities that help us perceive and analyze mathematical content. We perceive abstract notions not just through seeing…
As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas fr… - William Thurston
As one reads mathematics, one needs to have an active mind, asking questions, forming mental connections between the current topic and other ideas fr…
Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for th… - William Thurston
Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for th…
Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on or motivated to d… - William Thurston
Mathematicians can and do fill in gaps, correct errors, and supply more detail and more careful scholarship when they are called on or motivated to d…
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