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William Thurston Quotes

Mathematics is an art of human understanding Picture Quote #1
The real satisfaction from mathematics is in learning from others and sharing with others Picture Quote #1
Mathematics is much less formally complete and precise than computer programs Picture Quote #1
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 Picture Quote #1
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 Picture Quote #1
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 Picture Quote #1
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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 Picture Quote #1
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Mathematics is an art of human understanding  (William Thurston Quotes) The real satisfaction from mathematics is in learning from others and sharing with others  (William Thurston Quotes) Mathematics is much less formally complete and precise than computer programs  (William Thurston Quotes) 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 Quotes) 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 Quotes) 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 Quotes) 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 Quotes)