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.
Описание: Econometric Model Specification reviews and extends the studies on consistent model specification testing and semi-nonparametric modeling and inference.
This is a book about hope in the midst of a polarized culture.
Camosy begins with a hopeful starting point in the midst of a crumbling US political culture: two of every three Americans constitute an "exhausted majority" who reject right/left polarization and are open to alternative viewpoints. Especially at this time of realignment, we have been given a unique moment to put aside the frothy, angsty political debates and think harder about our deepest values. A Consistent Life Ethic, especially one which embraces Pope Francis' challenge to resist "throwaway culture", has the capacity to unite people who for the last several decades imagined themselves in a polarized culture war. On issues ranging from hook-up culture, reproductive technology, abortion, euthanasia, poverty, immigration, treatment of animals, and mass incarceration, this book articulates a new moral vision in which a culture of encounter and hospitality replaces a consumer culture in which the most vulnerable get used and discarded as so much trash. At bottom, Camosy offers readers a golden opportunity to dialogue about what kinds of values should serve as the foundation for a new political culture.
Описание: This covers an innovative technique for speedwriting. It is laid out as a series of 6 hour long lessons, all with exercises to help build your speed writing skills. Answers are given to the exercises and end of chapter dictations are available. Heather is an experienced PA who has trained people to use her faster writing techniques for many years.
Описание: This covers an innovative technique for speedwriting. It is laid out as a series of 6 hour long lessons, all with exercises to help build your speed writing skills. Answers are given to the exercises and end of chapter dictations are available. Heather is an experienced PA who has trained people to use her faster writing techniques for many years.
Описание: A recurring theme in the whole book consists of standard and non-standard models of several theories, such as Peano arithmetic, Presburger arithmetic and the real numbers. The book addresses undergraduate mathematics students and is suitable for a one or two semester introductory course into logic and set theory.
Описание: Kurt Goedel (1906-1978) shook the mathematical world in 1931 by a result that has become an icon of 20th century science: The search for rigour in proving mathematical theorems had led to the formalization of mathematical proofs, to the extent that such proving could be reduced to the application of a few mechanical rules.
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: Gerhard Gentzen is best known for his development of the proof systems of natural deduction and sequent calculus, central in many areas of logic and computer science today.
