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Contradiction Set Free
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Book Synopsis Contradiction Set Free by : Hermann Levin Goldschmidt
Download or read book Contradiction Set Free written by Hermann Levin Goldschmidt and published by Bloomsbury Publishing. This book was released on 2020-01-23 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Proofs from THE BOOK by : Martin Aigner
Download or read book Proofs from THE BOOK written by Martin Aigner and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "perfect proofs," those which contain brilliant ideas, clever connections, and wonderful observations, bringing new insight and surprising perspectives to problems from number theory, geometry, analysis, combinatorics, and graph theory. As a result, this book will be fun reading for anyone with an interest in mathematics.
Book Synopsis The Church Quarterly Review by : Arthur Cayley Headlam
Download or read book The Church Quarterly Review written by Arthur Cayley Headlam and published by . This book was released on 1892 with total page 570 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integer Programming and Combinatorial Optimization by : Gerard Cornuejols
Download or read book Integer Programming and Combinatorial Optimization written by Gerard Cornuejols and published by Springer. This book was released on 2007-03-05 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Sets: Naïve, Axiomatic and Applied by : D. Van Dalen
Download or read book Sets: Naïve, Axiomatic and Applied written by D. Van Dalen and published by Elsevier. This book was released on 2014-05-09 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Law of Non-Contradiction by : Graham Priest
Download or read book The Law of Non-Contradiction written by Graham Priest and published by Clarendon Press. This book was released on 2006-11-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Tôhoku Mathematical Journal by :
Download or read book The Tôhoku Mathematical Journal written by and published by . This book was released on 1924 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Book of Proof by : Richard H. Hammack
Download or read book Book of Proof written by Richard H. Hammack and published by . This book was released on 2016-01-01 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite other than a measure of mathematical maturity.
Book Synopsis Compactness and Contradiction by : Terence Tao
Download or read book Compactness and Contradiction written by Terence Tao and published by American Mathematical Soc.. This book was released on 2013-03-22 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many bits and pieces of folklore in mathematics that are passed down from advisor to student, or from collaborator to collaborator, but which are too fuzzy and nonrigorous to be discussed in the formal literature. Traditionally, it was a matter
Book Synopsis Modules over Non-Noetherian Domains by : László Fuchs
Download or read book Modules over Non-Noetherian Domains written by László Fuchs and published by American Mathematical Soc.. This book was released on 2001 with total page 633 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Tools and Algorithms for the Construction and Analysis of Systems by : Marsha Chechik
Download or read book Tools and Algorithms for the Construction and Analysis of Systems written by Marsha Chechik and published by Springer. This book was released on 2016-04-08 with total page 961 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 22nd International Conference on Tools and Algorithms for the Construction and Analysis of Systems, TACAS 2016, which took place in Eindhoven, The Netherlands, in April 2016, held as Part of the European Joint Conferences on Theory and Practice of Software, ETAPS 2016. The 44 full papers presented in this volume were carefully reviewed and selected from 175 submissions. They were organized in topical sections named: abstraction and verification; probabilistic and stochastic systems; synthesis; tool papers; concurrency; tool demos; languages and automata; security; optimization; and competition on software verification – SV-COMP.
Book Synopsis Graph and Network Theory by : Michael A. Henning
Download or read book Graph and Network Theory written by Michael A. Henning and published by Springer Nature. This book was released on 2022-06-03 with total page 782 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers a diversity of topics in graph and network theory, both from a theoretical standpoint, and from an applied modelling point of view. Mathematica® is used to demonstrate much of the modelling aspects. Graph theory and model building tools are developed in tandem with effective techniques for solving practical problems via computer implementation. The book is designed with three primary readerships in mind. Individual syllabi or suggested sequences for study are provided for each of three student audiences: mathematics, applied mathematics/operations research, and computer science. In addition to the visual appeal of each page, the text contains an abundance of gems. Most chapters open with real-life problem descriptions which serve as motivation for the theoretical development of the subject matter. Each chapter concludes with three different sets of exercises. The first set of exercises are standard and geared toward the more mathematically inclined reader. Many of these are routine exercises, designed to test understanding of the material in the text, but some are more challenging. The second set of exercises is earmarked for the computer technologically savvy reader and offer computer exercises using Mathematica. The final set consists of larger projects aimed at equipping those readers with backgrounds in the applied sciences to apply the necessary skills learned in the chapter in the context of real-world problem solving. Additionally, each chapter offers biographical notes as well as pictures of graph theorists and mathematicians who have contributed significantly to the development of the results documented in the chapter. These notes are meant to bring the topics covered to life, allowing the reader to associate faces with some of the important discoveries and results presented. In total, approximately 100 biographical notes are presented throughout the book. The material in this book has been organized into three distinct parts, each with a different focus. The first part is devoted to topics in network optimization, with a focus on basic notions in algorithmic complexity and the computation of optimal paths, shortest spanning trees, maximum flows and minimum-cost flows in networks, as well as the solution of network location problems. The second part is devoted to a variety of classical problems in graph theory, including problems related to matchings, edge and vertex traversal, connectivity, planarity, edge and vertex coloring, and orientations of graphs. Finally, the focus in the third part is on modern areas of study in graph theory, covering graph domination, Ramsey theory, extremal graph theory, graph enumeration, and application of the probabilistic method.
Book Synopsis Paraconsistency by : Walter Alexandr Carnielli
Download or read book Paraconsistency written by Walter Alexandr Carnielli and published by CRC Press. This book was released on 2002-04-10 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Basic Set Theory written by Azriel Levy and published by Courier Corporation. This book was released on 2012-06-11 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Core Logic written by Neil Tennant and published by Oxford University Press. This book was released on 2017-09-01 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Neil Tennant presents an original logical system with unusual philosophical, proof-theoretic, metalogical, computational, and revision-theoretic virtues. Core Logic, which lies deep inside Classical Logic, best formalizes rigorous mathematical reasoning. It captures constructive relevant reasoning. And the classical extension of Core Logic handles non-constructive reasoning. These core systems fix all the mistakes that make standard systems harbor counterintuitive irrelevancies. Conclusions reached by means of core proof are relevant to the premises used. These are the first systems that ensure both relevance and adequacy for the formalization of all mathematical and scientific reasoning. They are also the first systems to ensure that one can make deductive progress with potential logical strengthening by chaining proofs together: one will prove, if not the conclusion sought, then (even better!) the inconsistency of one's accumulated premises. So Core Logic provides transitivity of deduction with potential epistemic gain. Because of its clarity about the true internal structure of proofs, Core Logic affords advantages also for the automation of deduction and our appreciation of the paradoxes.
Book Synopsis Modern Political Economics by : Yanis Varoufakis
Download or read book Modern Political Economics written by Yanis Varoufakis and published by Routledge. This book was released on 2012-03-29 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: Once in a while the world astonishes itself. Anxious incredulity replaces intellectual torpor and a puzzled public strains its antennae in every possible direction, desperately seeking explanations for the causes and nature of what just hit it. 2008 was such a moment. Not only did the financial system collapse, and send the real economy into a tailspin, but it also revealed the great gulf separating economics from a very real capitalism. Modern Political Economics has a single aim: To help readers make sense of how 2008 came about and what the post-2008 world has in store. The book is divided into two parts. The first part delves into every major economic theory, from Aristotle to the present, with a determination to discover clues of what went wrong in 2008. The main finding is that all economic theory is inherently flawed. Any system of ideas whose purpose is to describe capitalism in mathematical or engineering terms leads to inevitable logical inconsistency; an inherent error that stands between us and a decent grasp of capitalist reality. The only scientific truth about capitalism is its radical indeterminacy, a condition which makes it impossible to use science's tools (e.g. calculus and statistics) to second-guess it. The second part casts an attentive eye on the post-war era; on the breeding ground of the Crash of 2008. It distinguishes between two major post-war phases: The Global Plan (1947-1971) and the Global Minotaur (1971-2008). This dynamic new book delves into every major economic theory and maps out meticulously the trajectory that global capitalism followed from post-war almost centrally planned stability, to designed disintegration in the 1970s, to an intentional magnification of unsustainable imbalances in the 1980s and, finally, to the most spectacular privatisation of money in the 1990s and beyond. Modern Political Economics is essential reading for Economics students and anyone seeking a better understanding of the 2008 economic crash.
Download or read book In Contradiction written by Graham Priest and published by Oxford University Press. This book was released on 2006-02-16 with total page 351 pages. Available in PDF, EPUB and Kindle. Book excerpt: Priest advocates and defends the view that there are true contradictions (dialetheism), a perspective that flies in the face of orthodoxy in Western philosophy since Aristole and remains at the centre of philosophical debate. This edition contains the author's reflections on developments since 1987.
