Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon
eBook - ePub

Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon

The Significance of Gödel's Incompleteness Phenomenon

  1. 288 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon

The Significance of Gödel's Incompleteness Phenomenon

About this book

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Current mathematical models are notoriously unreliable in describing the time evolution of unexpected social phenomena, from financial crashes to revolution. Can such events be forecast? Can we compute probabilities about them? Can we model them? This book investigates and attempts to answer these questions through Gödel's two incompleteness theorems, and in doing so demonstrates how influential Gödel is in modern logical and mathematical thinking. Many mathematical models are applied to economics and social theory, while Gödel's theorems are able to predict their limitations for more accurate analysis and understanding of national and international events.

This unique discussion is written for graduate level mathematicians applying their research to the social sciences, including economics, social studies and philosophy, and also for formal logicians and philosophers of science.

--> Contents:

  • Axiomatics, the Social Sciences, and the Gödel Phenomenon: A Toolkit (Francisco Antonio Doria)
  • The Perfect Language (Gregory J Chaitin)
  • Logics and Formal Ethics in Karl Menger (Giandomenica Becchio)
  • Shocked Disbelief (Roger Koppl)
  • Complex Systems, Decision-Making and Computability: A Social Science Perspective (Denis J Dean and Euel Eliott)
  • Is Classical Logic Enough? Applications of Nonstandard Logic to the Social Sciences (Denis J Dean and Euel Eliot)
  • Is Economics a Science? A Gödelian Perspective (Sami Al-Suwailem)

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--> Readership: Graduate level mathematicians applying their research to the social sciences, including economics, social studies and philosophy; formal logicians and philosophers of science. -->
Gödel;Incompleteness Theory;Unpredictability Theory;Mathematical Modeling”
Mathematical Reviews

“This book is very readable

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Yes, you can access Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon by Francisco Antonio Doria in PDF and/or ePUB format, as well as other popular books in Social Sciences & Applied Mathematics. We have over one million books available in our catalogue for you to explore.

Table of contents

  1. Cover Page
  2. Title
  3. Copyright
  4. Dedication
  5. Introduction
  6. About the Authors
  7. Contents
  8. Chapter 1 Axiomatics, the Social Sciences, and the Gödel Phenomenon: A Toolkit
  9. Chapter 2 The Perfect Language
  10. Chapter 3 Logics and Formal Ethics in Karl Menger
  11. Chapter 4 Shocked Disbelief
  12. Chapter 5 Complex Systems, Decision-Making and Computability: A Social Science Perspective
  13. Chapter 6 Is Classical Logic Enough? Applications of Nonstandard Logic to the Social Sciences
  14. Chapter 7 Is Economics a Science? A Gödelian Perspective
  15. Index