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

Limits Of Mathematical Modeling In The Social Sciences, The: The Significance Of Godel's Incompleteness Phenomenon
Author: Francisco Antonio Doria
Publisher: World Scientific
Total Pages: 289
Release: 2017-05-30
Genre: Social Science
ISBN: 1786343177

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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.


The Limits of Mathematical Modelling in the Social Sciences

The Limits of Mathematical Modelling in the Social Sciences
Author: Francisco Antônio Doria
Publisher: Wspc (Europe)
Total Pages: 272
Release: 2017
Genre: Social Science
ISBN: 9781786343154

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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 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.


The Limits of Mathematical Modeling in the Social Sciences

The Limits of Mathematical Modeling in the Social Sciences
Author: Francisco Antônio Doria
Publisher:
Total Pages: 272
Release: 2017
Genre: MATHEMATICS
ISBN: 9781786343161

Download The Limits of Mathematical Modeling in the Social Sciences Book in PDF, ePub and Kindle

"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."--Publisher's website.


Unravelling Complexity: The Life And Work Of Gregory Chaitin

Unravelling Complexity: The Life And Work Of Gregory Chaitin
Author: Shyam Wuppuluri
Publisher: World Scientific
Total Pages: 445
Release: 2020-02-06
Genre: Computers
ISBN: 9811200084

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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.


The First Socialization Debate (1918) and Early Efforts Towards Socialization

The First Socialization Debate (1918) and Early Efforts Towards Socialization
Author: Jürgen Backhaus
Publisher: Springer
Total Pages: 235
Release: 2019-05-30
Genre: Business & Economics
ISBN: 3030150240

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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.


Mathematical Modeling of Social Relationships

Mathematical Modeling of Social Relationships
Author: Urszula Strawinska-Zanko
Publisher: Springer
Total Pages: 222
Release: 2019-02-08
Genre: Social Science
ISBN: 9783030095772

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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.


Mathematical Models in the Social Sciences

Mathematical Models in the Social Sciences
Author: John G Kemeny
Publisher: Hassell Street Press
Total Pages: 168
Release: 2021-09-10
Genre:
ISBN: 9781015168817

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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.


In Defense of Formal Modeling in the Social Sciences

In Defense of Formal Modeling in the Social Sciences
Author: Joel J. van der Weele
Publisher:
Total Pages: 6
Release: 2014
Genre:
ISBN:

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This essay was written following discussions with friends and colleagues from different disciplines about the use of mathematics in the social sciences. It sets out some of the advantages of mathematical modeling (MM) in the social sciences, and defends it against some of the common criticisms that I have encountered. The main argument is that theories of the social world necessarily involve abstractions and trade-offs between the detail of the analysis and its tractability. Mathematics is a way to make these trade-offs in the clearest possible way, and this clarity makes discussion and empirical testing easier. Not all MM is based on such Popperian arguments. Often, models have a more artistic aspiration, of providing a metaphor or caricature of some feature of reality in order to understand it better. Finally, like any research methodology, mathematical theorizing does have its limits and associated problems, which I will also briefly discuss.