The Epistemology of Visual Thinking in Mathematics

[New Entry by Marcus Giaquinto on October 2, 2015.] Visual thinking is widespread in mathematical practice, and has diverse cognitive and epistemic purposes. This entry discusses potential roles of
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[New Entry by Marcus Giaquinto on October 2, 2015.] Visual thinking is widespread in mathematical practice, and has diverse cognitive and epistemic purposes. This entry discusses potential roles of visual thinking in proving and in discovering, with some examples, and epistemic difficulties and limitations are considered. Also discussed is the bearing of epistemic uses of visual representations on the application of the a priori - a posteriori distinction to mathematical knowledge. A final section looks briefly at how visual means can aid comprehension and deepen understanding of proofs....

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News source: Stanford Encyclopedia of Philosophy

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