Novelty, Information and Surprise

Novelty, Information and Surprise

Author: Günther Palm

Publisher: Springer Science & Business Media

Published: 2012-08-30

Total Pages: 260

ISBN-13: 3642290752

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The book offers a new approach to information theory that is more general then the classical approach by Shannon. The classical definition of information is given for an alphabet of symbols or for a set of mutually exclusive propositions (a partition of the probability space Ω) with corresponding probabilities adding up to 1. The new definition is given for an arbitrary cover of Ω, i.e. for a set of possibly overlapping propositions. The generalized information concept is called novelty and it is accompanied by two new concepts derived from it, designated as information and surprise, which describe "opposite" versions of novelty, information being related more to classical information theory and surprise being related more to the classical concept of statistical significance. In the discussion of these three concepts and their interrelations several properties or classes of covers are defined, which turn out to be lattices. The book also presents applications of these new concepts, mostly in statistics and in neuroscience.


Badiou's Being and Event and the Mathematics of Set Theory

Badiou's Being and Event and the Mathematics of Set Theory

Author: Burhanuddin Baki

Publisher: Bloomsbury Publishing

Published: 2014-11-20

Total Pages: 283

ISBN-13: 1472578716

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Alain Badiou's Being and Event continues to impact philosophical investigations into the question of Being. By exploring the central role set theory plays in this influential work, Burhanuddin Baki presents the first extended study of Badiou's use of mathematics in Being and Event. Adopting a clear, straightforward approach, Baki gathers together and explains the technical details of the relevant high-level mathematics in Being and Event. He examines Badiou's philosophical framework in close detail, showing exactly how it is 'conditioned' by the technical mathematics. Clarifying the relevant details of Badiou's mathematics, Baki looks at the four core topics Badiou employs from set theory: the formal axiomatic system of ZFC; cardinal and ordinal numbers; Kurt Gödel's concept of constructability; and Cohen's technique of forcing. Baki then rebuilds Badiou's philosophical meditations in relation to their conditioning by the mathematics, paying particular attention to Cohen's forcing, which informs Badiou's analysis of the event. Providing valuable insights into Badiou's philosophy of mathematics, Badiou's Being and Event and the Mathematics of Set Theory offers an excellent commentary and a new reading of Badiou's most complex and important work.


The Mathematics of Novelty

The Mathematics of Novelty

Author: Sam Gillespie

Publisher: re.press

Published: 2008

Total Pages: 174

ISBN-13: 0980544084

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Sam Gillespie's The Mathematics of Novelty presents a new account of Alain Badiou and Gilles Deleuze, identifying conceptual impasses in their philosophical projects and proposing a way through by recourse to the psychoanalysis of Jacques Lacan.


A Time of Novelty

A Time of Novelty

Author: Samuel Wright

Publisher:

Published: 2021

Total Pages: 304

ISBN-13: 9780197568194

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In 'A Time of Novelty', Samuel Wright re-envisions the relationship between philosophy and history in premodern India through study of the tradition of Sanskrit logic between 1500 and 1700 CE. In examining these logicians, Wright expands the ways in which we study philosophical thought by considering philosophy as deeply immersed in the felt experiences of one's life, at the confluence of thinking and feeling.


Endless Novelty

Endless Novelty

Author: Philip Scranton

Publisher: Princeton University Press

Published: 2018-06-05

Total Pages: 432

ISBN-13: 0691186928

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Flexibility, specialization, and niche marketing are buzzwords in the business literature these days, yet few realize that it was these elements that helped the United States first emerge as a global manufacturing leader between the Civil War and World War I. The huge mass production-based businesses--steel, oil, and autos--have long been given sole credit for this emergence. In Endless Novelty, Philip Scranton boldly recasts the history of this vital episode in the development of American business, known as the nation's second industrial revolution, by considering the crucial impact of trades featuring specialty, not standardized, production. Scranton takes us on a grand tour through American specialty firms and districts, where, for example, we meet printers and jewelry makers in New York and Providence, furniture builders in Grand Rapids, and tool specialists in Cincinnati. Throughout he highlights the benevolent as well as the strained relationships between workers and proprietors, the lively interactions among entrepreneurs and city leaders, and the personal achievements of industrial engineers like Frederic W. Taylor. Scranton shows that in sectors producing goods such as furniture, jewelry, machine tools, and electrical equipment, firms made goods to order or in batches, and industrial districts and networks flourished, creating millions of jobs. These enterprises relied on flexibility, skilled labor, close interactions with clients, suppliers, and rivals, and opportunistic pricing to generate profit streams. They built interfirm alliances to manage markets and fashioned specialized institutions--trade schools, industrial banks, labor bureaus, and sales consortia. In creating regional synergies and economies of scope and diversity, the approaches of these industrial firms represent the inverse of mass production. Challenging views of company organization that have come to dominate the business world in the United States, Endless Novelty will appeal to historians, business leaders, and to anyone curious about the structure of American industry.


Novelty

Novelty

Author: Michael North

Publisher: University of Chicago Press

Published: 2013-10-18

Total Pages: 265

ISBN-13: 022607790X

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If art and science have one thing in common, it’s a hunger for the new—new ideas and innovations, new ways of seeing and depicting the world. But that desire for novelty carries with it a fundamental philosophical problem: If everything has to come from something, how can anything truly new emerge? Is novelty even possible? In Novelty, Michael North takes us on a dazzling tour of more than two millennia of thinking about the problem of the new, from the puzzles of the pre-Socratics all the way up to the art world of the 1960s and ’70s. The terms of the debate, North shows, were established before Plato, and have changed very little since: novelty, philosophers argued, could only arise from either recurrence or recombination. The former, found in nature’s cycles of renewal, and the latter, seen most clearly in the workings of language, between them have accounted for nearly all the ways in which novelty has been conceived in Western history, taking in reformation, renaissance, invention, revolution, and even evolution. As he pursues this idea through centuries and across disciplines, North exhibits astonishing range, drawing on figures as diverse as Charles Darwin and Robert Smithson, Thomas Kuhn and Ezra Pound, Norbert Wiener and Andy Warhol, all of whom offer different ways of grappling with the idea of originality. Novelty, North demonstrates, remains a central problem of contemporary science and literature—an ever-receding target that, in its complexity and evasiveness, continues to inspire and propel the modern. A heady, ambitious intellectual feast, Novelty is rich with insight, a masterpiece of perceptive synthesis.


A Book of Abstract Algebra

A Book of Abstract Algebra

Author: Charles C Pinter

Publisher: Courier Corporation

Published: 2010-01-14

Total Pages: 402

ISBN-13: 0486474178

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Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.


Being and Event

Being and Event

Author: Alain Badiou

Publisher: A&C Black

Published: 2007-07-15

Total Pages: 561

ISBN-13: 082649529X

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A translation of one of the single most important works of recent French philosophy, Badiou's magnum opus, and a must-have for his growing following and anyone interested in contemporary Continental thought.


A = B

A = B

Author: Marko Petkovsek

Publisher: CRC Press

Published: 1996-01-01

Total Pages: 231

ISBN-13: 1439864500

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This book is of interest to mathematicians and computer scientists working in finite mathematics and combinatorics. It presents a breakthrough method for analyzing complex summations. Beautifully written, the book contains practical applications as well as conceptual developments that will have applications in other areas of mathematics.From the ta