Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon
The Significance of Gödel's Incompleteness Phenomenon
Francisco Antonio Doria
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)
Readership: Graduate level mathematicians applying their research to the social sciences, including economics, social studies and philosophy; formal logicians and philosophers of science.
GÃ¶del;Incompleteness Theory;Unpredictability Theory;Mathematical Modeling”
“This book is very readable