Book contents
- Why Does Math Work … If It’s Not Real?
- Why Does Math Work … If It’s Not Real?
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- Part I Rare Axioms
- Intermezzo
- 4 On Computer Games
- 5 On Mathematical Logic
- 6 On Postulates and Axioms
- Part II The Oracle
- Epilogue: The Eternal Blueprint
- Post Scriptum: On Mathematical Grand Design
- Appendix
- Recommended Reading
- Index
6 - On Postulates and Axioms
from Intermezzo
Published online by Cambridge University Press: 12 April 2023
- Why Does Math Work … If It’s Not Real?
- Why Does Math Work … If It’s Not Real?
- Copyright page
- Dedication
- Contents
- Preface
- Acknowledgments
- Part I Rare Axioms
- Intermezzo
- 4 On Computer Games
- 5 On Mathematical Logic
- 6 On Postulates and Axioms
- Part II The Oracle
- Epilogue: The Eternal Blueprint
- Post Scriptum: On Mathematical Grand Design
- Appendix
- Recommended Reading
- Index
Summary
This is “wrap-up” chapter of the first part of the book. It is designed to put all the ideas presented so far together. First two chapters described the mystery and the last two chapters offer a plausible solution: The Rare axioms hypothesis. This is the third deep idea of the book. In short: There are very few complex and interesting games that are also consistent. Our universe is one such a game. Mathematicians study all possible consistent games. Thus, it should not be that surprising that some of our games (math theories) are in agreement with our universe.
- Type
- Chapter
- Information
- Why Does Math Work … If It's Not Real?Episodes in Unreasonable Effectiveness, pp. 76 - 86Publisher: Cambridge University PressPrint publication year: 2023