The product of mathematics is clarity and understanding. Not theorems, by themselves. ... In short, mathematics only exists in a living community of mathematicians that spreads understanding and breathes life into ideas both old and new.
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
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…
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 …
Mathematics is an art of human understanding. - William Thurston
Mathematics is an art of human understanding.
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…
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…
Mathematics is much less formally complete and precise than computer programs. - William Thurston
Mathematics is much less formally complete and precise than computer programs.
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.
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