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: Lindstr?m Название: Aspects of Incompleteness ISBN: 1107167922 ISBN-13(EAN): 9781107167926 Издательство: Cambridge Academ Рейтинг: Цена: 18216.00 р. 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.
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.
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: Alesso Название: Thinking on the Web - Berners-Lee, Godel and Turing ISBN: 0471768669 ISBN-13(EAN): 9780471768661 Издательство: Wiley Рейтинг: Цена: 6011.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: * Provides valuable insight into the progress and direction of development of the World Wide Web and its likely future applications in science and business. * Reviews the prospects for the Web to develop intelligent services (such as online businesses, games, purchases, new search capabilities, and accessibility to trustworthy information).
Автор: Tieszen, Richard Название: After Godel ISBN: 0199680612 ISBN-13(EAN): 9780199680610 Издательство: Oxford Academ Рейтинг: Цена: 6334.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Richard Tieszen analyzes, develops, and defends the writings of Kurt Goedel (1906-1978) on the philosophy and foundations of mathematics and logic. Goedel`s relation to the work of Plato, Leibniz, Husserl, and Kant is examined, and a new type of platonic rationalism that requires rational intuition, called `constituted platonism`, is proposed.
Автор: Rebecca Goldstein Название: Incompleteness: The Proof and Paradox of Kurt G?del ISBN: 0393327604 ISBN-13(EAN): 9780393327601 Издательство: Wiley Рейтинг: Цена: 2850.00 р. 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
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