【actual_infinity】什么意思_英语actual_infinity的翻译_音标_读音_用法_例句_在线翻译

actual infinity

[数] 实无穷

"实无穷" (actual infinity):认为无穷是无限延伸或无限变化过程中可以自我完成的无限实体或无限整体.

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实无限

其对潜无限（potential infinity）的肯定是没有疑义的，但对实无限（actual infinity）的否定，从定义上/辩证法上讲也很精当，但亚氏却似乎由此接受某种有限宇宙或万有的观念，这却不总是有说服力的。

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实在无限

以亚理斯多德哲学概念思考的潜在无限（potential infinity）与实在无限(actual infinity)为数学家康托尔所倡导使用。

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真无穷

泛函分析专业英语词汇翻译A-6-SCIdict学术... ... 真元素 actual element 真(实)无穷 actual infinity 真(实)量度 actual measurement ...

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数学

·2,447,543篇论文数据，部分数据来源于NoteExpress

abstract: Actual infinity is the idea that numbers, or some other type of mathematical object, can form an actual, completed totality; namely, a set. Hence, in the philosophy of mathematics, the abstraction of actual infinity involves the acceptance of infinite entities, such as the set of all natural numbers or an infinite sequence of rational numbers, as given objects.

以上来源于: WordNet

The question on potential infinity and actual infinity in the objective of cognition, involved by the two paradoxes, is still a challenge in academic community.

这两个悖论所涉及的认知对象之潜无限和实无限的问题，至今仍是学界研究的难题。

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Actual infinity is a very important concept not only in mathematics, but in philosophy as well, which makes great contributions to the foundation and many theories of mathematics.

实无穷不管在数学上还是在哲学上都是一个非常重要的概念，对数学基础和许多数学理论都作出了很重要的贡献。

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