Contradiction Set Free
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Contradiction Set Free
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Author : Hermann Levin Goldschmidt
language : en
Publisher: Bloomsbury Publishing
Release Date : 2020-01-23
Contradiction Set Free written by Hermann Levin Goldschmidt and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-01-23 with Philosophy categories.
First published in in 1976, Hermann Levin Goldschmidt's Contradiction Set Free, (Freiheit für den Widerspruch), reflects the push to explore new forms of critical thinking that gained momentum in the decade between Theodor Adorno's Negative Dialectics of 1966 and Paul Feyerabend's Against Method in 1975. The book articulates Goldschmidt's reclamation of an epistemologically critical position that acknowledges the deep underlying link between the modes of production of knowledge and the social and political life they produce. In signalling a breakout from the academic rut and its repressive hold, Goldschmidt pointed beyond the ossified methods of a philosophical discourse whose oppressive consequences could no longer be ignored.Contradiction Set Free makes available for the first time in English a pivotal work by one of the great critical thinkers of the 20th century.
Contradiction Set Free
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Author : Hermann Levin Goldschmidt
language : en
Publisher:
Release Date : 2020
Contradiction Set Free written by Hermann Levin Goldschmidt and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Contradiction categories.
"First published in in 1976, Hermann Levin Goldschmidt's Contradiction Set Free, (Freiheit für den Widerspruch), reflects the push to explore new forms of critical thinking that gained momentum in the decade between Theodor Adorno's Negative Dialectics of 1966 and Paul Feyerabend's Against Method in 1975. The book articulates Goldschmidt's reclamation of an epistemologically critical position that acknowledges the deep underlying link between the modes of production of knowledge and the social and political life they produce. In signalling a breakout from the academic rut and its repressive hold, Goldschmidt pointed beyond the ossified methods of a philosophical discourse whose oppressive consequences could no longer be ignored. Contradiction Set Free makes available for the first time in English a pivotal work by one of the great critical thinkers of the 20th century."--
Finsler Set Theory
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Author : Paul Finsler
language : en
Publisher: Springer Science & Business Media
Release Date : 1996-05
Finsler Set Theory written by Paul Finsler and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05 with Mathematics categories.
Finsler's papers on set theory are presented, here for the first time in English translation, in three parts, and each is preceded by an introduction to the field written by the editors. In the philosophical part of his work Finsler develops his approach to the paradoxes, his attitude toward formalized theories and his defense of Platonism in mathematics. He insisted on the existence of a conceptual realm within mathematics that transcends formal systems. From the foundational point of view, Finsler's set theory contains a strengthened criterion for set identity and a coinductive specification of the universe of sets. The notion of the class of circle free sets introduced by Finsler is potentially a very fertile one although not very widespread today. Combinatorially, Finsler considers sets as generalized numbers to which one may apply arithmetical techniques. The introduction to this third section of the book extends Finsler's theory to non-well-founded sets. The present volume makes Finsler's papers on set theory accessible at long last to a wider group of mathematicians, philosophers and historians of science. A technical background is not necessary to appreciate the satisfying interplay of philosophical and mathematical ideas that characterizes this work.
Integer Programming And Combinatorial Optimization
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Author : Gerard Cornuejols
language : en
Publisher: Springer
Release Date : 2007-03-05
Integer Programming And Combinatorial Optimization written by Gerard Cornuejols and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-03-05 with Mathematics categories.
This book constitutes the refereed proceedings of the 7th International Conference on Integer Programming and Combinatorial Optimization, IPCO'99, held in Graz, Austria, in June 1999. The 33 revised full papers presented were carefully reviewed and selected from a total of 99 submissions. Among the topics addressed are theoretical, computational, and application-oriented aspects of approximation algorithms, branch and bound algorithms, computational biology, computational complexity, computational geometry, cutting plane algorithms, diaphantine equations, geometry of numbers, graph and network algorithms, online algorithms, polyhedral combinatorics, scheduling, and semidefinite programs.
Sets Na Ve Axiomatic And Applied
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Author : D. Van Dalen
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Sets Na Ve Axiomatic And Applied written by D. Van Dalen and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
Sets: Naïve, Axiomatic and Applied is a basic compendium on naïve, axiomatic, and applied set theory and covers topics ranging from Boolean operations to union, intersection, and relative complement as well as the reflection principle, measurable cardinals, and models of set theory. Applications of the axiom of choice are also discussed, along with infinite games and the axiom of determinateness. Comprised of three chapters, this volume begins with an overview of naïve set theory and some important sets and notations. The equality of sets, subsets, and ordered pairs are considered, together with equivalence relations and real numbers. The next chapter is devoted to axiomatic set theory and discusses the axiom of regularity, induction and recursion, and ordinal and cardinal numbers. In the final chapter, applications of set theory are reviewed, paying particular attention to filters, Boolean algebra, and inductive definitions together with trees and the Borel hierarchy. This book is intended for non-logicians, students, and working and teaching mathematicians.
The Law Of Non Contradiction
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Author : Graham Priest
language : en
Publisher: Clarendon Press
Release Date : 2006-11-30
The Law Of Non Contradiction written by Graham Priest and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-30 with Philosophy categories.
The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.
Modules Over Non Noetherian Domains
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Author : László Fuchs
language : en
Publisher: American Mathematical Soc.
Release Date : 2001
Modules Over Non Noetherian Domains written by László Fuchs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Commutative rings categories.
In this book, the authors present both traditional and modern discoveries in the subject area, concentrating on advanced aspects of the topic. Existing material is studied in detail, including finitely generated modules, projective and injective modules, and the theory of torsion and torsion-free modules. Some topics are treated from a new point of view. Also included are areas not found in current texts, for example, pure-injectivity, divisible modules, uniserial modules, etc. Special emphasis is given to results that are valid over arbitrary domains. The authors concentrate on modules over valuation and Prüfer domains, but also discuss Krull and Matlis domains, h-local, reflexive, and coherent domains. The volume can serve as a standard reference book for specialists working in the area and also is a suitable text for advanced-graduate algebra courses and seminars.
Paraconsistency
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Author : Walter Alexandr Carnielli
language : en
Publisher: CRC Press
Release Date : 2002-04-10
Paraconsistency written by Walter Alexandr Carnielli and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-04-10 with Mathematics categories.
This book presents a study on the foundations of a large class of paraconsistent logics from the point of view of the logics of formal inconsistency. It also presents several systems of non-standard logics with paraconsistent features.
Basic Set Theory
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Author : Azriel Levy
language : en
Publisher: Courier Corporation
Release Date : 2012-06-11
Basic Set Theory written by Azriel Levy and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-06-11 with Mathematics categories.
Although this book deals with basic set theory (in general, it stops short of areas where model-theoretic methods are used) on a rather advanced level, it does it at an unhurried pace. This enables the author to pay close attention to interesting and important aspects of the topic that might otherwise be skipped over. Written for upper-level undergraduate and graduate students, the book is divided into two parts. The first covers pure set theory, including the basic notions, order and well-foundedness, cardinal numbers, the ordinals, and the axiom of choice and some of its consequences. The second part deals with applications and advanced topics, among them a review of point set topology, the real spaces, Boolean algebras, and infinite combinatorics and large cardinals. A helpful appendix deals with eliminability and conservation theorems, while numerous exercises supply additional information on the subject matter and help students test their grasp of the material. 1979 edition. 20 figures.
Information And Randomness
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Author : Cristian S. Calude
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Information And Randomness written by Cristian S. Calude and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
The first edition of the monograph Information and Randomness: An Algorithmic Perspective by Crist ian Calude was published in 1994. In my Foreword I said: "The research in algorithmic information theory is already some 30 years old. However, only the recent years have witnessed a really vigorous growth in this area. . . . The present book by Calude fits very well in our series. Much original research is presented. . . making the approach richer in consequences than the classical one. Remarkably, however, the text is so self-contained and coherent that the book may also serve as a textbook. All proofs are given in the book and, thus, it is not necessary to consult other sources for classroom instruction. " The vigorous growth in the study of algorithmic information theory has continued during the past few years, which is clearly visible in the present second edition. Many new results, examples, exercises and open prob lems have been added. The additions include two entirely new chapters: "Computably Enumerable Random Reals" and "Randomness and Incom pleteness". The really comprehensive new bibliography makes the book very valuable for a researcher. The new results about the characterization of computably enumerable random reals, as well as the fascinating Omega Numbers, should contribute much to the value of the book as a textbook. The author has been directly involved in these results that have appeared in the prestigious journals Nature, New Scientist and Pour la Science.