Limits Of Mathematical Modeling In The Social Sciences The The Significance Of Godel S Incompleteness Phenomenon

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Limits Of Mathematical Modeling In The Social Sciences The The Significance Of Godel S Incompleteness Phenomenon
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Author : Francisco Antonio Doria
language : en
Publisher: World Scientific
Release Date : 2017-05-30
Limits Of Mathematical Modeling In The Social Sciences The The Significance Of Godel S Incompleteness Phenomenon written by Francisco Antonio Doria and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-05-30 with Social Science categories.
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
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Author : Francisco Antônio Doria
language : en
Publisher: Wspc (Europe)
Release Date : 2017
The Limits Of Mathematical Modelling In The Social Sciences written by Francisco Antônio Doria and has been published by Wspc (Europe) this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017 with Social Science categories.
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.
Unravelling Complexity The Life And Work Of Gregory Chaitin
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Author : Shyam Wuppuluri
language : en
Publisher: World Scientific
Release Date : 2020-02-06
Unravelling Complexity The Life And Work Of Gregory Chaitin written by Shyam Wuppuluri and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-06 with Computers categories.
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
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Author : Jürgen Backhaus
language : en
Publisher: Springer
Release Date : 2019-05-30
The First Socialization Debate 1918 And Early Efforts Towards Socialization written by Jürgen Backhaus and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-05-30 with Business & Economics categories.
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.
On The Foundations Of Science Livro Essays First Series
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Author :
language : en
Publisher: Editora E-papers
Release Date :
On The Foundations Of Science Livro Essays First Series written by and has been published by Editora E-papers this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Applied Natural Science
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Author : Mark D. Goldfein
language : en
Publisher: CRC Press
Release Date : 2017-03-03
Applied Natural Science written by Mark D. Goldfein and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-03-03 with Science categories.
Applied Natural Science: Environmental Issues and Global Perspectives provides the reader with a complete insight into the natural-scientific pattern of the world, covering the most important historical stages of the development of various areas of science, methods of natural-scientific research, general scientific and philosophical concepts, and the fundamental laws of nature. The book analyzes the main scientific trends and developments of modern natural science and also discusses important aspects of environmental protection. Topics include: The problem of "the two cultures": the mathematization of natural sciences and the informatization of society The non-linear nature of the processes occurring in nature and society Application of the second law of thermodynamics to describe the development of biological systems Global problems of the biosphere Theory and practice of stable organic paramagnetic materials Polymers and the natural environment Key features include: An interdisciplinary approach in considering scientific and technical problems A discussion of general scientific trends in modern natural science, including globalization challenges in nature and society, the organic chemistry of stable paramagnetic materials, the fundamentals of the environmental chemistry of polymeric materials, etc. A justification of applying classical (non-equilibrium) thermodynamics to studying the behavior of open (including biological) systems Of particular importance in the book is the discussion of some problems associated with the place of man in the biosphere, issues of the globalization of science and technology, new ideas about the universe, and the concept of universal evolutionism. At the same time, the book discusses more specific issues related to solving major global and regional environmental problems (particularities of organic paramagnetic materials, the influence of polymers on the man and environment, etc). All this leads to the fundamental conclusion of the unity of animate and inanimate nature, as well as improvement of the process of cognition of the real world, which consists in objective and natural changing of world views. The book is intended for professors, teachers, and students of classical and technological universities who are interested in the development of the foundations of modern natural sciences, as well as for professionals working in the field of chemical physics and applied ecology.
Exploring The Infinite Possibilities
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Author : Barrett Williams
language : en
Publisher: Barrett Williams
Release Date : 2024-10-24
Exploring The Infinite Possibilities written by Barrett Williams and has been published by Barrett Williams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-10-24 with Mathematics categories.
**Exploring the Infinite Possibilities Unlock the Mysteries of Mathematics** Dive into a world where numbers weave patterns of breathtaking beauty and equations reveal the secrets of the universe. "Exploring the Infinite Possibilities" is a captivating journey through the landscape of mathematics, offering a fresh and insightful perspective on a subject often shrouded in mystery and complexity. Begin your exploration with the aesthetic allure of mathematics, where the harmony of numbers and the elegance of patterns and symmetry spark a sense of wonder. Venture into the rich history of mathematical thought, tracing its evolution from ancient civilizations, through the intellectual fervor of the Renaissance, to the innovations that define modern mathematics today. Discover the boundless nature of infinity, uncover the mysteries of fractals and chaos theory, and delve into the intriguing realm of transfinite numbers. Wander through the natural world, where the Fibonacci sequence and the Golden Ratio manifest in mesmerizing forms and patterns, and explore the symmetrical beauty inherent in biological structures. Unravel the intricacies of mathematical proofs, from historical breakthroughs to contemporary challenges that drive mathematical discovery. Appreciate mathematics as a universal language, bridging the gap between the abstract and the tangible, and see its unifying power in science. From the elegance of Euclidean geometry to the peculiarities of non-Euclidean spaces, geometric concepts open the door to endless possibilities. Explore the hidden symmetries in abstract algebra, the enigmatic nature of prime numbers, and the profound impacts of calculus—the mathematics of change. Venture into the realms of mathematical analysis, probability, and statistics, uncovering the profound insights these fields offer into our world. Engage with the foundations of mathematical logic and embark on a journey through the digital age, where algorithms and machine learning reshape our lives. "Exploring the Infinite Possibilities" is not just a book—it's an inspiring odyssey into a vibrant mathematical universe. Whether you're a curious enthusiast or a seasoned mathematician, this book invites you to continue the great journey of mathematical exploration, inspiring future generations and highlighting the global impact of mathematics.
Philosophy Of Latin America
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Author : Guttorm Fløistad
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Philosophy Of Latin America written by Guttorm Fløistad and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Philosophy categories.
In most contributions collected in this volume, the influence from European and American philosophy can be felt. Remarkably, ten out of thirteen philosophers feel that the working out of a genuine Latin American local, national and continental cultural identity is a challenge to philosophy. This volume contains articles on topics within a variety of disciplines: political philosophy, ethics, history of philosophy, formal logic, philosophy of science and technology, as well as philosophical interpretation of literature. It is relevant to a large audience of philosophers and researchers in these disciplines.
Incompleteness
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Author : Rebecca Goldstein
language : en
Publisher: W. W. Norton & Company
Release Date : 2006-01-31
Incompleteness written by Rebecca Goldstein and has been published by W. W. Norton & Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-31 with Biography & Autobiography categories.
"An introduction to the life and thought of Kurt Gödel, who transformed our conception of math forever"--Provided by publisher.
Andrzej Mostowski And Foundational Studies
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Author : A. Ehrenfeucht
language : en
Publisher: IOS Press
Release Date : 2008-03-06
Andrzej Mostowski And Foundational Studies written by A. Ehrenfeucht and has been published by IOS Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-03-06 with Mathematics categories.
Andrzej Mostowski was one of the leading 20th century logicians. His legacy is examined in this volume of papers devoted both to his extraordinary scientific heritage and to the memory of him as a great researcher, teacher, organizer of science and human. Professor Mostowski pioneered and mastered many areas of mathematical logic. His contributions spanned set theory, recursion theory, and model theory - the backbone of foundations of mathematics. He is best known of the Kleene-Mostowski and Davis-Mostowski hierarchies of properties of integers reflecting the complexity of their definitions, and of the very elegant concept of a generalized quantifier which inspired and keeps stimulating a stream of deep work on fundamental issues of logics, deduction and reasoning both in mathematics and in computer science, and also of the contributions and excellent lectures on undecidability, unprovability, consistency and independence of various statements in set theory and arithmetic following Gödel, Tarski and Cohen. The overall content of the volume is designed to cover the current main streams in the field. For many years after WWII, especially in the late sixties, till his untimely death in 1975, Warsaw - where he led the centre of foundational studies - was a place where many leading logicians visited, studied, and started their career. Their memories form an important part of this volume, attempting to bring back the extraordinary achievements and personality of Mostowski.