期刊名称：Proceedings of the National Academy of Sciences
印刷版ISSN：0027-8424
电子版ISSN：1091-6490
出版年度：2018
卷号：115
期号：1
页码：81-86
DOI：10.1073/pnas.1710707114
语种：English
出版社：The National Academy of Sciences of the United States of America
摘要：We give an overview of our philosophy of pictures in mathematics. We emphasize a bidirectional process between picture language and mathematical concepts: ion and simulation. This motivates a program to understand different subjects, using virtual and real mathematical concepts simulated by pictures.
关键词：pictorial mathematics ; picture language ; picture proof ; abstraction and simulation ; real and virtual
