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- Mathematicians usually have fewer and poorer figures in their papers and books than in their heads.
- William Thurston
+ Men will always be making mistakes as long as they are striving after something. During such a long and difficult struggle the researcher might be tempted again and again to abandon his efforts as vain and fruitless, except that every now and then a light strikes across his path which furnishes him with irrefutable proof that, after all his mistakes in taking one by-path after another, he has at least made one step forward towards the discovery of the truth that he is seeking. The steadfast pursuance of one aim and purpose is indispensable to the researcher and that aim will always light his way, even though sometimes it may be dimmed by initial failures.
+ Max Planck
- On Proof And Progress In Mathematics (1994)
+ 1919 Nobel Prize acceptance speech
- https://www.math.toronto.edu/mccann/199/thurston.pdf
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+ Mathematicians usually have fewer and poorer figures in their papers and books than in their heads.
+ William Thurston
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+ On Proof And Progress In Mathematics (1994)
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+ https://www.math.toronto.edu/mccann/199/thurston.pdf
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- But I do not think it is possible, because mathematics is _not_ just another language. Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning. By mathematics it is possible to connect one statement to another.
+ 'Why not tell me in words instead of in symbols? Mathematics is just a language, and I want to be able to translate the language'. But I do not think it is possible, because mathematics is _not_ just another language. Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning. By mathematics it is possible to connect one statement to another.
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- But I do not think it is possible, because mathematics is _not_ just another language. Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning
+ But I do not think it is possible, because mathematics is _not_ just another language. Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning. By mathematics it is possible to connect one statement to another.
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- But I do not think it is possible, because mathematics is not just another language. Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning
+ But I do not think it is possible, because mathematics is _not_ just another language. Mathematics is a language plus reasoning; it is like a language plus logic. Mathematics is a tool for reasoning. It is in fact a big collection of the results of some person's careful thought and reasoning
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- https://www.ling.upenn.edu/~kroch/courses/lx550/readings/feynman1-4.pdf
+ // https://www.ling.upenn.edu/~kroch/courses/lx550/readings/feynman1-4.pdf