- Main
- Mathematics - Logic
- Set Theory and its Philosophy: A...
Set Theory and its Philosophy: A Critical Introduction
Michael PotterContent Headings:
• I. Sets • Introduction to Part I • 1. Logic • 2. Collections • 3. The hierarchy • 4. The theory of sets • Conclusion to Part I
• II. Numbers • Introduction to Part II • 5. Arithmetic • 6. Counting • 7. Lines • 8. Real numbers • Conclusion to Part II
• III. Cardinals and Ordinals • Introduction to Part III • 9. Cardinals • 10. Basic cardinal arithmetic • 11. Ordinals • 12. Ordinal arithmetic • Conclusion to Part III
• IV. Further Axioms • Introduction to Part IV • 13. Orders of infinity • 14. The axiom of choice • 15. Further cardinal arithmetic • Conclusion to Part IV
• Appendices • A. Traditional axiomatizations • B. Classes • C. Sets and classes • References • List of symbols • Index of definitions • Index of names
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. 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.
1~5분 이내로 파일이 사용자님의 Telegram 계정으로 전송될 것입니다.
주의: 자신의 계정이 Z-Library Telegram 봇과 연결되어 있는지 확인하십시오.
1~5분 이내로 파일이 사용자님의 Kindle 기기로 전송될 것입니다.
비고: Kindle로 보내시는 책은 모두 확인해 보실 필요가 있습니다. 메일함에 Amazon Kindle Support로부터 확인 메일이 도착했는지 메일함을 점검해 보시기 바랍니다.