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The term `geometry'...refers to a pattern of processing within our brains related to our spatial and visual senses, more than it refers to a separate… - William Thurston
" "The term `geometry'...refers to a pattern of processing within our brains related to our spatial and visual senses, more than it refers to a separate content area of mathematics.
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About William Thurston
William Paul Thurston (October 30, 1946 - August 21, 2012) was an American mathematician. He was a pioneer in the field of low-dimensional topology. In 1982, he was awarded the Fields Medal for his contributions to the study of 3-manifolds. From 2003 until his death he was a professor of mathematics and computer science at Cornell University.
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Native Name:
William Paul Thurston
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William P. Thurston
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Additional quotes by William Thurston
When mathematics is explained, formalized and written down, there is a strong tendency to favor symbolic modes of thought at the expense of everything else, because symbols are easier to write and more standardized than other modes of reasoning. But when mathematics loses its connection to our minds, it dissolves into a haze.
Mathematics is a process of staring hard enough with enough perseverence at at the fog of muddle and confusion to eventually break through to improved clarity. I'm happy when I can admit, at least to myself, that my thinking is muddled, and I try to overcome the embarrassment that I might reveal ignorance or confusion.<p>Over the years, this has helped me develop clarity in some things, but I remain muddled in many others.
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