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The Limits of Mathematical Modelling in the Social Sciences : The Significance of Goedel's Incompleteness Phenomenon. 社会科学における数学的モデリングの限界
・ISBN 978-1-78634-315-4 hard GB£ 98.00
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電子版あり 大学・学術機関向け電子ブック（eBook）ISBN 978-1-78634-316-1
| 著者・編者 | Doria, Francisco Antonio (ed.), |
|---|---|
| 出版社 | (World Scientific, SI) |
| 出版年月 | 2017 |
| ページ数 | 250 pp. |
| 言語 | ENG |
| ニュース番号 | ＜639-49 639-L215＞ |
解説
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 Goedel's two incompleteness theorems, and in doing so demonstrates how influential Goedel is in modern logical and mathematical thinking. Many mathematical models are applied to economics and social theory, while Goedel'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.