An exploration of the scientific limits of knowledge that challenges our deep-seated beliefs about our universe, our rationality, and ourselves.
Many books explain what is known about the universe. This book investigates what cannot be known. Rather than exploring the amazing facts that science, mathematics, and reason have revealed to us, this work studies what science, mathematics, and reason tell us cannot be revealed. In The Outer Limits of Reason, Noson Yanofsky considers what cannot be predicted, described, or known, and what will never be understood. He discusses the limitations of computers, physics, logic, and our own thought processes.
Yanofsky describes simple tasks that would take computers trillions of centuries to complete and other problems that computers can never solve; perfectly formed English sentences that make no sense; different levels of infinity; the bizarre world of the quantum; the relevance of relativity theory; the causes of chaos theory; math problems that cannot be solved by normal means; and statements that are true but cannot be proven. He explains the limitations of our intuitions about the world -- our ideas about space, time, and motion, and the complex relationship between the knower and the known.
Moving from the concrete to the abstract, from problems of everyday language to straightforward philosophical questions to the formalities of physics and mathematics, Yanofsky demonstrates a myriad of unsolvable problems and paradoxes. Exploring the various limitations of our knowledge, he shows that many of these limitations have a similar pattern and that by investigating these patterns, we can better understand the structure and limitations of reason itself. Yanofsky even attempts to look beyond the borders of reason to see what, if anything, is out there.
Автор: Lakatos Название: Proofs and Refutations ISBN: 1107534054 ISBN-13(EAN): 9781107534056 Издательство: Cambridge Academ Рейтинг: Цена: 3326.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Imre Lakatos`s influential and enduring work on the nature of mathematic discovery and development continues to be relevant to philosophers of mathematics. Including a specially commissioned preface written by Paolo Mancosu, and presented in a fresh twenty-first-century series livery, it is now available for a new generation of readers.
Автор: Lineweaver Название: Complexity and the Arrow of Time ISBN: 110702725X ISBN-13(EAN): 9781107027251 Издательство: Cambridge Academ Рейтинг: Цена: от 829.00 р. Наличие на складе: Есть
Описание: Experts from science, philosophy and theology jointly address the widespread assumption that the universe is `getting more complex with time`. This unique cross-disciplinary work offers insights in complexity that reach deep into key areas of physics, biology, complexity science, philosophy and religion. A must-read for anyone interested in complexity theory.
Автор: Rescher Nicholas Название: On Leibniz ISBN: 0822962187 ISBN-13(EAN): 9780822962182 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 5821.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This expanded edition adds new chapters that explore Leibniz`s revolutionary deciphering machine.
Автор: Shanker, Stuart G. Название: Philosophy of Science, Logic and Mathematics in the 20th Century ISBN: 041530881X ISBN-13(EAN): 9780415308816 Издательство: Taylor&Francis Рейтинг: Цена: 6123.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Anthony L. Peressini; Francis E. Sullivan; J.J. Jr Название: The Mathematics of Nonlinear Programming ISBN: 146126989X ISBN-13(EAN): 9781461269892 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Nonlinear programming provides an excellent opportunity to explore an interesting variety of pure and solidly applicable mathematics, numerical analysis, and computing. This text develops some of the ideas and techniques involved in the optimization methods using calculus, leading to the study of convexity.
Автор: Gerber Hans U Название: Life Insurance Mathematics ISBN: 3642082858 ISBN-13(EAN): 9783642082856 Издательство: Springer Рейтинг: Цена: 6981.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: From the reviews: "The highly esteemed 1990 first edition of this book now appears in a much expanded second edition. ....As already hinted at above, this book provides the ideal bridge between the classical (deterministic) life insurance theory and the emerging dynamic models based on stochastic processes and the modern theory of finance.
Автор: Herbert Dawid Название: Adaptive Learning by Genetic Algorithms ISBN: 3642621066 ISBN-13(EAN): 9783642621062 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: I have also added a new section in chapter 3 which deals with the question how well empirically observed phenomena can be explained by GA simulations. A new section in chapter 6 presents a rather extensive analysis of the behavior of a two population GA in the framework of a sealed bid double auction market.
Описание: Chapters 1 and 2 motivate the subsequent analysis by introducing the `consistent preferences` approach, and by presenting ex- amples and concepts that are revisited throughout the book. Chapters 3 and 4 present the decision-theoretic framework and the belief operators that are used in later chapters.
Автор: Michael Schulz Название: Statistical Physics and Economics ISBN: 1441918124 ISBN-13(EAN): 9781441918123 Издательство: Springer Рейтинг: Цена: 29209.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This systematic book covers in simple language the physical foundations of evolution equations, stochastic processes and generalized Master equations applied on complex economic systems, helping to understand the large variability of financial markets, trading and communications networks.
Автор: Monique Florenzano; P. Gourdel; Cuong Le Van Название: Finite Dimensional Convexity and Optimization ISBN: 3642625703 ISBN-13(EAN): 9783642625701 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book discusses convex analysis, the basic underlying structure of argumentation in economic theory. The text is aimed at senior undergraduate students, graduate students, and specialists of mathematical programming who are undertaking research into applied mathematics and economics.
Автор: A.D. Irvine Название: Physicalism in Mathematics ISBN: 9401073481 ISBN-13(EAN): 9789401073486 Издательство: Springer Рейтинг: Цена: 32144.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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