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 G del's two incompleteness theorems, and in doing so demonstrates how influential G del is in modern logical and mathematical thinking. Many mathematical models are applied to economics and social theory, while G del'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.
Автор: Berto Название: There`s Something About Godel - The Complete Guide to the Incompleteness Theorem ISBN: 1405197668 ISBN-13(EAN): 9781405197663 Издательство: Wiley Рейтинг: Цена: 89710.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: There`s Something About Godel is a lucid and accessible guide to Godel`s revolutionary Incompleteness Theorem , considered one of the most astounding argumentative sequences in the history of human thought. It is also an exploration of the most controversial alleged philosophical outcomes of the Theorem.
Автор: V.S. Alagar; S. Bergler; F.Q. Dong Название: Incompleteness and Uncertainty in Information Systems ISBN: 3540198970 ISBN-13(EAN): 9783540198970 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Contains papers presented at a workshop on the subject, held at Concordia University, Montreal, Canada in October 1993. The contributors discuss software aberrations, modelling uncertainty in object-oriented databases, the management of uncertainty in AI and much more.
Автор: Rebecca Goldstein Название: Incompleteness: The Proof and Paradox of Kurt G?del ISBN: 0393327604 ISBN-13(EAN): 9780393327601 Издательство: Wiley Рейтинг: Цена: 19000.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: "A gem...An unforgettable account of one of the great moments in the history of human thought." -Steven Pinker
Автор: Jacod Jean, Shiryaev Albert N. Название: Limit Theorems for Stochastic Processes ISBN: 3540439323 ISBN-13(EAN): 9783540439325 Издательство: Springer Рейтинг: Цена: 121110.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Initially the theory of convergence in law of stochastic processes was developed quite independently from the theory of martingales, semimartingales and stochastic integrals. Apart from a few exceptions essentially concerning diffusion processes, it is only recently that the relation between the two theories has been thoroughly studied. The authors of this Grundlehren volume, two of the international leaders in the field, propose a systematic exposition of convergence in law for stochastic processes, from the point of view of semimartingale theory, with emphasis on results that are useful for mathematical theory and mathematical statistics. This leads them to develop in detail some particularly useful parts of the general theory of stochastic processes, such as martingale problems, and absolute continuity or contiguity results. The book contains an introduction to the theory of martingales and semimartingales, random measures stochastic integrales, Skorokhod topology, etc., as well as a large number of results which have never appeared in book form, and some entirely new results. The second edition contains some additions to the text and references. Some parts are completely rewritten.
Автор: Tord H. Ganelius Название: Tauberian Remainder Theorems ISBN: 3540056572 ISBN-13(EAN): 9783540056577 Издательство: Springer Рейтинг: Цена: 23280.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Dumitru Motreanu; Panagiotis D. Panagiotopoulos Название: Minimax Theorems and Qualitative Properties of the Solutions of Hemivariational Inequalities ISBN: 0792354567 ISBN-13(EAN): 9780792354567 Издательство: Springer Рейтинг: Цена: 167660.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Studies a different type of eigenvalue problem, one that is very useful for applications: eigenvalue problems related to hemivariational inequalities, that is involving nonsmooth, nonconvex, energy functions. This book also studies nonresonant and resonant cases both for static and dynamic problems.
Автор: Chaitin Gregory J Название: Information, Randomness & Incompleteness: Papers On Algorithmic Information Theory ISBN: 9971504790 ISBN-13(EAN): 9789971504793 Издательство: World Scientific Publishing Рейтинг: Цена: 127770.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The papers gathered in this book were published over a period of more than twenty years in widely scattered journals. They led to the discovery of randomness in arithmetic which was presented in the recently published monograph on "Algorithmic Information Theory" by the author. There the strongest possible version of G del's incompleteness theorem, using an information-theoretic approach based on the size of computer programs, was discussed. The present book is intended as a companion volume to the monograph and it will serve as a stimulus for work on complexity, randomness and unpredictability, in physics and biology as well as in metamathematics.
Автор: Chaitin Gregory J Название: Information, Randomness & Incompleteness: Papers On Algorithmic Information Theory ISBN: 9971504804 ISBN-13(EAN): 9789971504809 Издательство: World Scientific Publishing Рейтинг: Цена: 65470.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The papers gathered in this book were published over a period of more than twenty years in widely scattered journals. They led to the discovery of randomness in arithmetic which was presented in the recently published monograph on "Algorithmic Information Theory" by the author. There the strongest possible version of G del's incompleteness theorem, using an information-theoretic approach based on the size of computer programs, was discussed. The present book is intended as a companion volume to the monograph and it will serve as a stimulus for work on complexity, randomness and unpredictability, in physics and biology as well as in metamathematics.
Автор: Taqdir Husain; Taqdir Husain Название: The Open Mapping and Closed Graph Theorems in Topological Vector Spaces ISBN: 3322960773 ISBN-13(EAN): 9783322960771 Издательство: Springer Рейтинг: Цена: 81050.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: THE main purpose of writing this monograph is to give a picture of the progress made in recent years in understanding three of the deepest results of Functional Analysis-namely, the open-mapping and closed- graph theorems, and the so-called Krein-~mulian theorem.
Автор: T. Parthasarathy Название: Selection Theorems and Their Applications ISBN: 3540058184 ISBN-13(EAN): 9783540058182 Издательство: Springer Рейтинг: Цена: 23250.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Lindstr?m Название: Aspects of Incompleteness ISBN: 1107167922 ISBN-13(EAN): 9781107167926 Издательство: Cambridge Academ Рейтинг: Цена: 121440.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This volume presents some of the main areas and results of general metamathematics. In addition to standard results of Goedel et al. on incompleteness, (non-)finite axiomatizability, and interpretability, the book contains a thorough treatment of partial conservativity and degrees of interpretability. The method of arithmetization also plays an important role.
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