| 意味 | 例文 (5件) |
category theoryとは 意味・読み方・使い方
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意味・対訳 圏論; カテゴリー理論
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該当件数 : 5件
Category theory is a general mathematical theory of structures and sytems of structures.発音を聞く 例文帳に追加
圈論は構造と構造系の一般的数学理論の一つである。 - コンピューター用語辞典
The fields covered by this category include the four fields of 'Music,' 'Fine Art,' 'Film and the Dramatic Arts,' and 'Philosophy/Theory.'発音を聞く 例文帳に追加
受賞対象分野は、「音楽」、「美術」、「映画・演劇」、「思想・倫理」の四分野。 - Wikipedia日英京都関連文書対訳コーパス
The non-religion theory says that piety is a duty of the people and this duty is one category of morality, therefore piety towards shrines, the army, schools and public offices is not a religion.発音を聞く 例文帳に追加
非宗教説は、敬神を国民の義務とし、この義務は道徳の範疇にあるので、神社・軍隊・学校・官公庁などにおける敬神は宗教ではないとする説である。 - Wikipedia日英京都関連文書対訳コーパス
According to the theory of Gojihakkyosetsu, Shakyamuni preached by dividing his teachings into five periods of time: Kegon, Agon, Hoto, Hannya, and Hokke Nehan, and in the category of Hoto, Shakyamuni preached four items of 'Zo, Tsu, Betsu, En.'発音を聞く 例文帳に追加
五時八教の教判では、釈迦仏は華厳・阿含・方等・般若・法華涅槃の五時に分けて教えを説いたが、方等時で「蔵・通・別・円」の四教を並説したとされる。 - Wikipedia日英京都関連文書対訳コーパス
In this category, he applied the concept of 'connection', described in books on theory, to the history of Japanese thought in an attempt to justify Japanese ethics within a specific context.発音を聞く 例文帳に追加
この系統では、原理的著作群で展開された「間柄」という概念を日本思想史に応用し、具体的な文脈によって日本の倫理を正統化しようとする試みがなされている。 - Wikipedia日英京都関連文書対訳コーパス
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Wiktionary英語版での「category theory」の意味 |
category theory
出典:『Wiktionary』 (2025/09/03 02:47 UTC 版)
名詞
category theory (uncountable)
- (mathematics) A branch of mathematics which deals with spaces and maps between them in abstraction, taking similar theorems from various disparate more concrete branches of mathematics and unifying them.
- Hypernyms: theory, math, maths, mathematics
- Holonyms: math, maths, mathematics
- Coordinate term: set theory
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1984, Robert Goldblatt, Topoi, the categorial analysis of logic, page 3:
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As mentioned earlier set theory provides a general conceptual framework for mathematics. Now, since category theory, through the notion of topos, has succeeded in axiomatising set-theory, the outcome is an entirely new categorial foundation of mathematics! The category-theorists attitude that "function" rather than "set membership" can be seen as the fundamental mathematical concept has been entirely vindicated. The pre-eminent role of set theory in contemporary mathematics is suddenly challenged. A revolution has occurred in the history of mathematical ideas (albeit a peaceful one) that will undoubtedly influence the direction of the path to the future.
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2025 August 30, Katrina Miller, “You Don't Need to Be Good at Math to Enjoy It. In her latest book, Eugenia Cheng, a mathematician, explores the choices we make to determine if two things — numbers, shapes, words and even people — are equal. 'A Conversation With' column”, in New York Times:
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[Eugenia Cheng] We don't talk about this enough. We make choices about what to count as the same and what to count as different, and we should be aware that we're making them. [Katrina Miller:] What kind of math do you explore in the book? [Cheng 2025: Unequal: The Math of When Things Do and Don't Add Up] [Cheng:] Category theory is a branch of math with this radical idea that when you study things, you don’t have to know what they are. What you have to know is how they interact with other things. It's all about relationships rather than intrinsic characteristics. And one of the most important relationships is sameness and equivalence. When is a relationship good enough to count as things being the same? One of my favorite tongue-in-cheek examples is if you need to temporarily take over someone's role at work because they're on leave. It typically doesn't matter what you look like. Unless the work is being a body double!
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