One of the most famous questions in the philosophy of mathematics is whether mathematics is discovered or invented. As Timothy Gowers wrote: “It has been asked over and over again, and it is not clear what would constitute a satisfactory answer.” In this short article, I address this question from the perspective of a computer scientist. I will argue that the developments of mathematics and computing have dovetailed with each other for thousands of years: Computing begat mathematics, and mathematics begat computing. Furthermore, both are connected to the real world via one of the most amazing faculties of the human mind: the capacity to abstract.

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

What Came First, Mathematics or Computing?

  • Moshe Y. Vardi

摘要

One of the most famous questions in the philosophy of mathematics is whether mathematics is discovered or invented. As Timothy Gowers wrote: “It has been asked over and over again, and it is not clear what would constitute a satisfactory answer.” In this short article, I address this question from the perspective of a computer scientist. I will argue that the developments of mathematics and computing have dovetailed with each other for thousands of years: Computing begat mathematics, and mathematics begat computing. Furthermore, both are connected to the real world via one of the most amazing faculties of the human mind: the capacity to abstract.