Mathematical picture language program

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...

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Detalles Bibliográficos
Autores principales: Jaffe, Arthur M., Liu, Zhengwei
Formato: Online Artículo Texto
Lenguaje:English
Publicado: National Academy of Sciences 2018
Materias:
Physical Sciences
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5776795/
https://www.ncbi.nlm.nih.gov/pubmed/29259114
http://dx.doi.org/10.1073/pnas.1710707114
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author Jaffe, Arthur M.
Liu, Zhengwei
author_facet Jaffe, Arthur M.
Liu, Zhengwei
author_sort Jaffe, Arthur M.
collection PubMed
description 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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spelling pubmed-57767952018-01-23 Mathematical picture language program Jaffe, Arthur M. Liu, Zhengwei Proc Natl Acad Sci U S A Physical Sciences 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. National Academy of Sciences 2018-01-02 2017-12-19 /pmc/articles/PMC5776795/ /pubmed/29259114 http://dx.doi.org/10.1073/pnas.1710707114 Text en Copyright © 2017 the Author(s). Published by PNAS. This is an open access article distributed under the PNAS license (http://www.pnas.org/site/aboutpnas/licenses.xhtml) .
spellingShingle Physical Sciences
Jaffe, Arthur M.
Liu, Zhengwei
Mathematical picture language program
title Mathematical picture language program
title_full Mathematical picture language program
title_fullStr Mathematical picture language program
title_full_unstemmed Mathematical picture language program
title_short Mathematical picture language program
title_sort mathematical picture language program
topic Physical Sciences
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5776795/
https://www.ncbi.nlm.nih.gov/pubmed/29259114
http://dx.doi.org/10.1073/pnas.1710707114
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