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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:
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
Descripción
Sumario: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.