Limits Of Mathematical Modeling In The Social Sciences The The Significance Of Godels Incompleteness Phenomenon

Author : Doria Francisco Antonio
Publisher : World Scientific
ISBN 13 : 1786343177
Total Pages : 288 pages
Book Rating : 4.78/5 ( download)

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Download or read book Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon written by Doria Francisco Antonio and published by World Scientific. This book was released on 2017-05-30 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Francisco Antônio Doria
Publisher : Wspc (Europe)
ISBN 13 : 9781786343154
Total Pages : 272 pages
Book Rating : 4.50/5 ( download)

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Download or read book The Limits of Mathematical Modelling in the Social Sciences written by Francisco Antônio Doria and published by Wspc (Europe). This book was released on 2017 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 GOdel's two incompleteness theorems, and in doing so demonstrates how influential GOdel is in modern logical and mathematical thinking. Many mathematical models are applied to economics and social theory, while GOdel'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.

Author : Shyam Wuppuluri
Publisher : World Scientific
ISBN 13 : 9811200084
Total Pages : 445 pages
Book Rating : 4.83/5 ( download)

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Download or read book Unravelling Complexity: The Life And Work Of Gregory Chaitin written by Shyam Wuppuluri and published by World Scientific. This book was released on 2020-02-06 with total page 445 pages. Available in PDF, EPUB and Kindle. Book excerpt: The revolutions that Gregory Chaitin brought within the fields of science are well known. From his discovery of algorithmic information complexity to his work on Gödel's theorem, he has contributed deeply and expansively to such diverse fields.This book attempts to bring together a collection of articles written by his colleagues, collaborators and friends to celebrate his work in a festschrift. It encompasses various aspects of the scientific work that Chaitin has accomplished over the years. Topics range from philosophy to biology, from foundations of mathematics to physics, from logic to computer science, and all other areas Chaitin has worked on.It also includes sketches of his personality with the help of biographical accounts in some unconventional articles that will provide a rare glimpse into the personal life and nature of Chaitin.Compared to the other books that exist along a similar vein, this book stands out primarily due to its highly interdisciplinary nature and its scope that will attract readers into Chaitin's world.

Author : Jürgen Backhaus
Publisher : Springer
ISBN 13 : 3030150240
Total Pages : 235 pages
Book Rating : 4.42/5 ( download)

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Download or read book The First Socialization Debate (1918) and Early Efforts Towards Socialization written by Jürgen Backhaus and published by Springer. This book was released on 2019-05-30 with total page 235 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the 1918 European socialization debate, its consequences, and its relevance a century later. Following the end of the First World War, the disastrous social and economic situation facing Europe led to calls for socialization of central economic sectors, as well as measures for the improvement of work conditions and social security. This book rekindles the debate, presenting the basic issues of socialization from different European countries and taking into account current developments. The chapters track the socialism debate in Europe from its initial inception in 1918 and examine the ways in which it has shaped the public discourse in the years following, drawing theoretical connections between the conditions that created the environment for the debate to begin and contemporary social and political trends. This book will be of particular interest to graduate students and researchers of socioeconomics, ethics, the history of economic thought, history, and political science.

Author : John G. Kemeny
Publisher :
ISBN 13 :
Total Pages : 168 pages
Book Rating : 4.89/5 ( download)

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Download or read book Mathematical Models in the Social Sciences written by John G. Kemeny and published by . This book was released on 1962 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : James Clyde Charleworth
Publisher :
ISBN 13 : 9781258285890
Total Pages : 0 pages
Book Rating : 4.94/5 ( download)

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Download or read book Mathematics and the Social Sciences written by James Clyde Charleworth and published by . This book was released on 2012-04 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: ""Mathematics and the Social Sciences"" by James Clyde Charlesworth is a comprehensive exploration of the role of mathematics in the fields of economics, political science, and sociology. The book discusses the utility and inutility of mathematics in these social sciences and provides a critical analysis of the ways in which mathematical models are used to understand complex social phenomena. The author begins by providing an overview of the history of mathematics in the social sciences and its evolution over time. He then delves into the different approaches to using mathematical models in each of the three disciplines, highlighting the strengths and weaknesses of each approach. The book also examines the limitations of mathematical models in social science research, such as the difficulty in capturing the complexities of human behavior and the potential for oversimplification. Charlesworth provides examples of both successful and unsuccessful applications of mathematical models in the social sciences, and discusses the implications of these findings for future research.Overall, ""Mathematics and the Social Sciences"" is a valuable resource for students and scholars in economics, political science, and sociology who are interested in the role of mathematics in their respective fields. The book provides a nuanced and critical perspective on the use of mathematical models in social science research, and encourages readers to think critically about the strengths and limitations of these models.Contributing Authors Include Leonid Hurwicz, Oskar Morgenstern, Oliver Benson, Andrew Hacker, Harrison White And Don Martindale. Monograph American Academy Of Political And Social Science, No. 2.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Author : Urszula Strawinska-Zanko
Publisher : Springer
ISBN 13 : 9783319767642
Total Pages : 222 pages
Book Rating : 4.4X/5 ( download)

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Download or read book Mathematical Modeling of Social Relationships written by Urszula Strawinska-Zanko and published by Springer. This book was released on 2018-06-05 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edited volume presents examples of social science research projects that employ new methods of quantitative analysis and mathematical modeling of social processes. This book presents the fascinating areas of empirical and theoretical investigations that use formal mathematics in a way that is accessible for individuals lacking extensive expertise but still desiring to expand their scope of research methodology and add to their data analysis toolbox. Mathematical Modeling of Social Relationships professes how mathematical modeling can help us understand the fundamental, compelling, and yet sometimes complicated concepts that arise in the social sciences. This volume will appeal to upper-level students and researchers in a broad area of fields within the social sciences, as well as the disciplines of social psychology, complex systems, and applied mathematics.

Author : Giovanni Naldi
Publisher : Springer Science & Business Media
ISBN 13 : 0817649468
Total Pages : 437 pages
Book Rating : 4.63/5 ( download)

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Download or read book Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences written by Giovanni Naldi and published by Springer Science & Business Media. This book was released on 2010-08-12 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using examples from finance and modern warfare to the flocking of birds and the swarming of bacteria, the collected research in this volume demonstrates the common methodological approaches and tools for modeling and simulating collective behavior. The topics presented point toward new and challenging frontiers of applied mathematics, making the volume a useful reference text for applied mathematicians, physicists, biologists, and economists involved in the modeling of socio-economic systems.

Author : John G Kemeny
Publisher : Hassell Street Press
ISBN 13 : 9781014314901
Total Pages : 168 pages
Book Rating : 4.09/5 ( download)

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Download or read book Mathematical Models in the Social Sciences written by John G Kemeny and published by Hassell Street Press. This book was released on 2021-09-09 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Author : Samuel Goldberg
Publisher :
ISBN 13 : 9783764330897
Total Pages : 119 pages
Book Rating : 4.99/5 ( download)

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Download or read book Probability in Social Science written by Samuel Goldberg and published by . This book was released on 1983 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt: Birkhauser Boston, Inc., will publish a series of carefully selected mono- graphs in the area of mathematical modeling to present serious applications of mathematics for both the undergraduate and the professional audience. Some of the monographs to be selected and published will appeal more to the professional mathematician and user of mathematics, serving to familiarize the user with new models and new methods. Some, like the present monograph, will stress the educational aspect and will appeal more to a student audience, either as a textbook or as additional reading. We feel that this first volume in the series may in itself serve as a model for our program. Samuel Goldberg attaches a high priority to teaching stu- dents the art of modeling, that is, to use his words, the art of constructing useful mathematical models of real-world phenomena. We concur. It is our strong conviction as editors that the connection between the actual problems and their mathematical models must be factually plausible, if not actually real. As this first volume in the new series goes to press, we invite its readers to share with us both their criticisms and their constructive suggestions.