11+ William Thurston Quotes On Slavery, Education And Government

Mathematics is not about numbers, equations, computations, or algorithms: it is about understanding. — William Thurston

The real satisfaction from mathematics is in learning from others and sharing with others. — William Thurston

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. — 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 from other contexts, so as to develop a sense of the structure, not just familiarity with a particular tour through the structure. — 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 do so. Our system is quite good at producing reliable theorems that can be solidly backed up. It's just that the reliability does not primarily come from mathematicians formally checking formal arguments; it comes from mathematicians thinking carefully and critically about mathematical ideas. — William Thurston

Mathematics is much less formally complete and precise than computer programs. — William Thurston

You don't see what you're seeing until you see it but when you do see it, it lets you see many other things. — William Thurston

Mathematics is an art of human understanding. — William Thurston

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. — William Thurston

Experience has shown repeatedly that a mathematical theory with a rich internal structure generally turns out to have significant implications for the understanding of the real world, often in ways no one could have envisioned before the theory was developed. — William Thurston

Math is really about the human mind, about how people can think effectively, and why curiosity is quite a good guide. — William Thurston

Life Lessons by William Thurston

  1. William Thurston's work demonstrates the importance of collaboration and communication between scientists, as he was a key figure in the development of the Geometrization Conjecture.
  2. His work also highlights the power of mathematics to solve complex problems, as he was able to prove the Geometrization Conjecture, which had been open for decades.
  3. Finally, his work serves as an example of the importance of perseverance, as he worked for years to find a proof for the Geometrization Conjecture.
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