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Mathematical picture language program

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2017

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National Academy of Sciences
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Jaffe, Arthur M., and Zhengwei Liu. 2017. “Mathematical picture language program.” Proceedings of the National Academy of Sciences of the United States of America 115 (1): 81-86. doi:10.1073/pnas.1710707114. http://dx.doi.org/10.1073/pnas.1710707114.

Abstract

We give an overview of our philosophy of pictures in mathematics. We emphasize a bidirectional process between picture language and mathematical concepts: abstraction and simulation. This motivates a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures.

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Mathematics, pictorial mathematics, picture language, picture proof, abstraction and simulation, real and virtual

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