Seonglae ChoA mathematical theory that stands in contrast to set theory, focusing on relationships between elements rather than the elements themselves, and dealing with abstract concepts.
Category Theory Notion
Category theory
Category theory is a general theory of mathematical structures and their relations that was introduced by Samuel Eilenberg and Saunders Mac Lane in the middle of the 20th century in their foundational work on algebraic topology. Nowadays, category theory is used in almost all areas of mathematics, and in many areas of computer science. In particular, numerous constructions of new mathematical objects from previous ones, that appear similarly in several contexts are conveniently expressed and unified in terms of categories. Examples include quotient spaces, direct products, completion, and duality.
https://en.wikipedia.org/wiki/Category_theory
나눗셈과 준군의 호모토피 기수
어릴 적, 우리는 사탕 몇 개를 눈앞에서 이리저리 움직여 가며 덧셈을 배웠다. 사탕이 오른손에 두 개, 왼손에 세 개가 있으면 사탕은 모두 다섯 개, 이런 식으로. 이는 덧셈을 직관적으로 표현하는 좋은 방법이다. 조금 정제된 단어들로 말하자면, 덧셈의 메커니즘은 `집합의 합집합'으로 이해할 수 있다는 것이다. 이러한 관점을 발전시키면, 숫자의 곱셈은 `곱집합'을 통해 이해할 수…
https://horizon.kias.re.kr/28327/
