Theory of Categories; Object or Tool

Author(s):
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Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

How important is the theory of categories? From the early days of its creation until today, this question has occupied the minds of mathematicians and different answers have been provided: For some categories are merely a tool. For others, they are a fundamental part of today’s mathematics. Generally, questions like these do not have definite and absolute answers. At least for this particular question, the mathematics community has not reached a common answer, and probably will never reach a resolution. Our goal in writing this article is to discuss the origins and developments of the theory of categories and also discuss its role in mathematics.

Language:
Persian
Published:
Journal of Mathematical Culture and Thought, Volume:41 Issue: 2, 2023
Pages:
47 to 61
https://www.magiran.com/p2551891