Philosophy of mathematics: What numbers could not be
Philosophy of mathematics: What numbers could not be
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数学哲学：什么数字不可能
DOI：
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发表时间：
1965
期刊：
影响因子：
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通讯作者：
P. Benacerraf
中科院分区：
文献类型：
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作者：
P. Benacerraf
数学家的注意力主要集中在数学结构上，他的智力乐趣（部分）来自于看到一个给定的理论展示了这样那样的结构，看到一种结构如何在另一种结构中“建模”，或者展示一些新的结构并显示它与以前研究过的结构的关系。但是...数学家只要有一些“实体”或“对象”（或“集合”或“数”或“函数”或“空间”或“点”）来处理就满足了，他不去探究它们的内在性质或本体论地位。
THE attention of the mathematician focuses primarily upon mathematical structure, and his intellectual delight arises (in part) from seeing that a given theory exhibits such and such a structure, from seeing how one structure is "modelled" in another, or in exhibiting some new structure and showing how it relates to previously studied ones .... But ... the mathematician is satisfied so long as he has some "entities" or "objects" (or "sets" or "numbers" or "functions" or ''spaces" or ''points") to work with, and he does not inquire into their inner character or ontological status.