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.
發表於2024-12-26
Set Theory and Its Philosophy 2024 pdf epub mobi 電子書 下載
圖書標籤: 集閤論 數學 數學基礎 邏輯學 邏輯哲學 自學 數學哲學 哲學
是potter 90年代的那本<Sets: An Introduction>的修訂本 算是為哲學係研究生寫的集閤論教材 講得很清楚很基本 但並沒有太多與哲學相關的部分
評分是potter 90年代的那本<Sets: An Introduction>的修訂本 算是為哲學係研究生寫的集閤論教材 講得很清楚很基本 但並沒有太多與哲學相關的部分
評分是potter 90年代的那本<Sets: An Introduction>的修訂本 算是為哲學係研究生寫的集閤論教材 講得很清楚很基本 但並沒有太多與哲學相關的部分
評分是potter 90年代的那本<Sets: An Introduction>的修訂本 算是為哲學係研究生寫的集閤論教材 講得很清楚很基本 但並沒有太多與哲學相關的部分
評分是potter 90年代的那本<Sets: An Introduction>的修訂本 算是為哲學係研究生寫的集閤論教材 講得很清楚很基本 但並沒有太多與哲學相關的部分
Set Theory and Its Philosophy 2024 pdf epub mobi 電子書 下載