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单词 Constructive mathematics
释义

Constructive mathematics

中文百科

数学构成主义 Constructivism (mathematics)

(重定向自Constructive mathematics)

在数学哲学中,构成主义构造主义认为要证明一个数学对象存在就必须把它构造出来。如果假设一个对象不存在,并从该假设推导出一个矛盾,对于构成主义者来说,不足以证明该对象存在。见构造性证明。

构成主义常常和直觉主义混淆,实际上,直觉主义只是构成主义的一种。直觉主义强调数学的基础创建在数学家们个人的直觉上,这样就把数学在本质上作为一种主观活动。构成主义不这样强调,并和对数学的客观看法保持一致。

英语百科

Constructivism (mathematics) 数学构成主义

(重定向自Constructive mathematics)

In the philosophy of mathematics, constructivism asserts that it is necessary to find (or "construct") a mathematical object to prove that it exists. When one assumes that an object does not exist and derives a contradiction from that assumption, one still has not found the object and therefore not proved its existence, according to constructivism. This viewpoint involves a verificational interpretation of the existence quantifier, which is at odds with its classical interpretation.

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更新时间:2025/6/21 16:17:31