Department of Philosophy, McGill University, Montreal, QC, Canada.
Top Cogn Sci. 2013 Apr;5(2):283-98. doi: 10.1111/tops.12018.
This article looks at recent work in cognitive science on mathematical cognition from the perspective of history and philosophy of mathematical practice. The discussion is focused on the work of Lakoff and Núñez, because this is the first comprehensive account of mathematical cognition that also addresses advanced mathematics and its history. Building on a distinction between mathematics as it is presented in textbooks and as it presents itself to the researcher, it is argued that the focus of cognitive analyses of historical developments of mathematics has been primarily on the former, even if they claim to be about the latter.
本文从历史和数学实践哲学的角度审视了认知科学中近期关于数学认知的研究工作。讨论的重点是 Lakoff 和 Núñez 的工作，因为这是第一个全面论述数学认知的理论，同时也涉及了高等数学及其历史。基于对教科书中呈现的数学和数学呈现给研究者的数学之间的区别，本文认为，即使他们声称研究的是后者，认知分析数学历史发展的重点也主要是前者。
