对阿尔弗雷德-诺斯-怀特海的 "数学导论 "的评论

Thomas Hales
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摘要

1911 年,阿尔弗雷德-诺斯-怀特海出版了一本短书《数学导论》(Introduction toMathematics,IM),旨在向学生解释数学的基本思想。怀特海的《数学导论》具有经久不衰的价值,因为这是在他和伯特兰-罗素出版了不朽的三卷本著作《数学原理》(Principia Mathematica)之后不久写成的。IM 揭示了怀特海当时对数学的看法。怀特海在书中把谓词逻辑中的证明作为数学神话般的起点,尽管怀特海本人对符号谓词逻辑的意义理解得很慢。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A review of Alfred North Whitehead's "Introduction to Mathematics"
In 1911, Alfred North Whitehead published a short book "Introduction to Mathematics" (IM) intended for students wanting an explanation of the fundamental ideas of mathematics. Whitehead's IM has enduring value because it was written not long after he and Bertrand Russell published their monumental three-volume work "Principia Mathematica" (PM) -- a publication of immense historical significance for mathematics. IM sheds light on Whitehead's view of mathematics at that time. Whitehead's book places proofs in predicate logic as the mythical starting point of mathematics, although Whitehead himself was slow to understand the significance of symbolic predicate logic.
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