图书标签: 集合论 数学 数学基础 逻辑学 逻辑哲学 自学 数学哲学 哲学
发表于2024-12-23
Set Theory and Its Philosophy pdf epub mobi txt 电子书 下载 2024
Michael Potter presents a comprehensive new philosophical introduction to set theory. Anyone wishing to work on the logical foundations of mathematics must understand set theory, which lies at its heart. Potter offers a thorough account of cardinal and ordinal arithmetic, and the various axiom candidates. He discusses in detail the project of set-theoretic reduction, which aims to interpret the rest of mathematics in terms of set theory. The key question here is how to deal with the paradoxes that bedevil set theory. Potter offers a strikingly simple version of the most widely accepted response to the paradoxes, which classifies sets by means of a hierarchy of levels. What makes the book unique is that it interweaves a careful presentation of the technical material with a penetrating philosophical critique. Potter does not merely expound the theory dogmatically but at every stage discusses in detail the reasons that can be offered for believing it to be true. Set Theory and its Philosophy is a key text for philosophy, mathematical logic, and computer science.
是potter 90年代的那本<Sets: An Introduction>的修订本 算是为哲学系研究生写的集合论教材 讲得很清楚很基本 但并没有太多与哲学相关的部分
评分是potter 90年代的那本<Sets: An Introduction>的修订本 算是为哲学系研究生写的集合论教材 讲得很清楚很基本 但并没有太多与哲学相关的部分
评分是potter 90年代的那本<Sets: An Introduction>的修订本 算是为哲学系研究生写的集合论教材 讲得很清楚很基本 但并没有太多与哲学相关的部分
评分是potter 90年代的那本<Sets: An Introduction>的修订本 算是为哲学系研究生写的集合论教材 讲得很清楚很基本 但并没有太多与哲学相关的部分
评分是potter 90年代的那本<Sets: An Introduction>的修订本 算是为哲学系研究生写的集合论教材 讲得很清楚很基本 但并没有太多与哲学相关的部分
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Set Theory and Its Philosophy pdf epub mobi txt 电子书 下载 2024