An Introduction to Non-Classical Logic

Author: Graham Priest

Publisher: Cambridge University Press

ISBN: 9780521794343

Category: Mathematics

Page: 242

View: 5265

This book is an introduction to non-classical propositional logics. It brings together for the first time in a textbook a range of topics in logic, many of them of relatively recent origin, including modal, conditional, intuitionist, many-valued, paraconsistent, relevant and fuzzy logics. The material is unified by the underlying theme of world-semantics. All of the topics are explained clearly and accessibly, using devices such as tableaux proofs, and their relation to current philosophical issues and debates is discussed. Students with a basic understanding of classical logic will find this an invaluable introduction to an area that has become of central importance in both logic and philosophy, but which, until now, could be studied only through the research literature. It will interest those studying logic, those who need to know about non-classical logics because of their philosophical importance, and, more widely, readers working in mathematics and computer science.

An Introduction to Non-Classical Logic

From If to Is

Author: Graham Priest

Publisher: Cambridge University Press

ISBN: 9781139469678

Category: Science

Page: N.A

View: 482

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

Classical and Nonclassical Logics

An Introduction to the Mathematics of Propositions

Author: Eric Schechter

Publisher: Princeton University Press

ISBN: 9780691122793

Category: Mathematics

Page: 507

View: 9976

Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

Principia Mathematica.

Author: Alfred North Whitehead,Bertrand Russell

Publisher: N.A

ISBN: N.A

Category: Logic, Symbolic and mathematical

Page: 167

View: 1940

An Introduction to Many-Valued and Fuzzy Logic

Semantics, Algebras, and Derivation Systems

Author: Merrie Bergmann

Publisher: Cambridge University Press

ISBN: 1139468782

Category: Mathematics

Page: N.A

View: 9768

Professor Merrie Bergmann presents an accessible introduction to the subject of many-valued and fuzzy logic designed for use on undergraduate and graduate courses in non-classical logic. Bergmann discusses the philosophical issues that give rise to fuzzy logic - problems arising from vague language - and returns to those issues as logical systems are presented. For historical and pedagogical reasons, three-valued logical systems are presented as useful intermediate systems for studying the principles and theory behind fuzzy logic. The major fuzzy logical systems - Lukasiewicz, Gödel, and product logics - are then presented as generalisations of three-valued systems that successfully address the problems of vagueness. A clear presentation of technical concepts, this book includes exercises throughout the text that pose straightforward problems, that ask students to continue proofs begun in the text, and that engage students in the comparison of logical systems.

Logik für Dummies

Author: Mark Zegarelli

Publisher: John Wiley & Sons

ISBN: 3527657444

Category: Mathematics

Page: 358

View: 754

Logik ist die Basis von Wissenschaft, aber auch eine Br?cke von Wissenschaft zum Alltag. So einfach sie scheint, so anspruchsvoll ist sie im Detail. Mark Zegarelli f?hrt Sie in "Logik f?r Dummies" systematisch in die Logik ein. Vom Paradoxon ?ber symbolische Logik bis zur Syllogistik l?sst er nichts aus und zeigt Ihnen, wie man Argumente pr?ft. Er arbeitet dabei mit anschaulichen Beispielen und schafft es so, dieses abstrakte Thema den Lesern nicht nur verst?ndlich zu machen, sondern ihnen auch Wert und Nutzen von Logik aufzuzeigen. Eine Einf?hrung, die den Wissensdurst stillt und Lust auf mehr macht.

Kripke’s Worlds

An Introduction to Modal Logics via Tableaux

Author: Olivier Gasquet,Andreas Herzig,Bilal Said,François Schwarzentruber

Publisher: Springer Science & Business Media

ISBN: 3764385049

Category: Mathematics

Page: 198

View: 1912

Possible worlds models were introduced by Saul Kripke in the early 1960s. Basically, a possible world's model is nothing but a graph with labelled nodes and labelled edges. Such graphs provide semantics for various modal logics (alethic, temporal, epistemic and doxastic, dynamic, deontic, description logics) and also turned out useful for other nonclassical logics (intuitionistic, conditional, several paraconsistent and relevant logics). All these logics have been studied intensively in philosophical and mathematical logic and in computer science, and have been applied increasingly in domains such as program semantics, artificial intelligence, and more recently in the semantic web. Additionally, all these logics were also studied proof theoretically. The proof systems for modal logics come in various styles: Hilbert style, natural deduction, sequents, and resolution. However, it is fair to say that the most uniform and most successful such systems are tableaux systems. Given logic and a formula, they allow one to check whether there is a model in that logic. This basically amounts to trying to build a model for the formula by building a tree. This book follows a more general approach by trying to build a graph, the advantage being that a graph is closer to a Kripke model than a tree. It provides a step-by-step introduction to possible worlds semantics (and by that to modal and other nonclassical logics) via the tableaux method. It is accompanied by a piece of software called LoTREC (www.irit.fr/Lotrec). LoTREC allows to check whether a given formula is true at a given world of a given model and to check whether a given formula is satisfiable in a given logic. The latter can be done immediately if the tableau system for that logic has already been implemented in LoTREC. If this is not yet the case LoTREC offers the possibility to implement a tableau system in a relatively easy way via a simple, graph-based, interactive language.

An Introduction to Non-Classical Logic, From If to Is

Author: CTI Reviews

Publisher: Cram101 Textbook Reviews

ISBN: 1467264709

Category: Education

Page: 50

View: 3634

Facts101 is your complete guide to An Introduction to Non-Classical Logic, From If to Is. In this book, you will learn topics such as as those in your book plus much more. With key features such as key terms, people and places, Facts101 gives you all the information you need to prepare for your next exam. Our practice tests are specific to the textbook and we have designed tools to make the most of your limited study time.

Schicksal, Zeit und Sprache

Über Willensfreiheit

Author: David Foster Wallace

Publisher: Suhrkamp Verlag

ISBN: 3518789503

Category: Philosophy

Page: 207

View: 1492

Können wir die Zukunft durch unser Handeln beeinflussen? Oder ist sie von Gott, vom Schicksal oder von Naturgesetzen vorherbestimmt? Diese Frage beschäftigt Philosophen seit der Antike. 1985 nahm sich ein Student vor, sie ein für allemal zu lösen – David Foster Wallace. Er jongliert souverän mit modallogischen Formeln und Diagrammen und führt exzentrische Beispiele ins Feld, die direkt seinen Erzählungen entsprungen sein könnten: Terroristen, Stabhochspringer, Tennisspieler ohne Schläger. Neben dem posthum erschienenen Aufsatz enthält der Band eine biografische Skizze über Foster Wallace’ Studentenzeit und eine kurze Einführung in die Modallogik.

Programmverifikation

Sequentielle, parallele und verteilte Programme

Author: Krzysztof R. Apt,Ernst-Rüdiger Olderog

Publisher: Springer-Verlag

ISBN: 3642579477

Category: Computers

Page: 258

View: 4338

Funktion, Begriff, Bedeutung

Author: Gottlob Frege

Publisher: Vandenhoeck & Ruprecht

ISBN: 9783525306031

Category: Logic, Symbolic and mathematical

Page: 96

View: 4906

Wie Demokratien sterben

Und was wir dagegen tun können

Author: Steven Levitsky,Daniel Ziblatt

Publisher: DVA

ISBN: 3641222915

Category: Political Science

Page: 320

View: 3403

Ausgezeichnet mit dem NDR Kultur Sachbuchpreis 2018 als bestes Sachbuch des Jahres Demokratien sterben mit einem Knall oder mit einem Wimmern. Der Knall, also das oft gewaltsame Ende einer Demokratie durch einen Putsch, einen Krieg oder eine Revolution, ist spektakulärer. Doch das Dahinsiechen einer Demokratie, das Sterben mit einem Wimmern, ist alltäglicher – und gefährlicher, weil die Bürger meist erst aufwachen, wenn es zu spät ist. Mit Blick auf die USA, Lateinamerika und Europa zeigen die beiden Politologen Steven Levitsky und Daniel Ziblatt, woran wir erkennen, dass demokratische Institutionen und Prozesse ausgehöhlt werden. Und sie sagen, an welchen Punkten wir eingreifen können, um diese Entwicklung zu stoppen. Denn mit gezielter Gegenwehr lässt sich die Demokratie retten – auch vom Sterbebett.

UML 2 und Patterns angewendet - objektorientierte Softwareentwicklung

Author: Craig Larman

Publisher: mitp Verlags GmbH & Co. KG

ISBN: 9783826614538

Category:

Page: 716

View: 3949

Dieses Lehrbuch des international bekannten Autors und Software-Entwicklers Craig Larman ist ein Standardwerk zur objektorientierten Analyse und Design unter Verwendung von UML 2.0 und Patterns. Das Buch zeichnet sich insbesondere durch die Fahigkeit des Autors aus, komplexe Sachverhalte anschaulich und praxisnah darzustellen. Es vermittelt grundlegende OOA/D-Fertigkeiten und bietet umfassende Erlauterungen zur iterativen Entwicklung und zum Unified Process (UP). Anschliessend werden zwei Fallstudien vorgestellt, anhand derer die einzelnen Analyse- und Designprozesse des UP in Form einer Inception-, Elaboration- und Construction-Phase durchgespielt werden

Labelled Non-Classical Logics

Author: Luca Viganò

Publisher: Springer Science & Business Media

ISBN: 1475732082

Category: Philosophy

Page: 292

View: 2722

I am very happy to have this opportunity to introduce Luca Vigano's book on Labelled Non-Classical Logics. I put forward the methodology of labelled deductive systems to the participants of Logic Colloquium'90 (Labelled Deductive systems, a Position Paper, In J. Oikkonen and J. Vaananen, editors, Logic Colloquium '90, Volume 2 of Lecture Notes in Logic, pages 66-68, Springer, Berlin, 1993), in an attempt to bring labelling as a recognised and significant component of our logic culture. It was a response to earlier isolated uses of labels by various distinguished authors, as a means to achieve local proof theoretic goals. Labelling was used in many different areas such as resource labelling in relevance logics, prefix tableaux in modal logics, annotated logic programs in logic programming, proof tracing in truth maintenance systems, and various side annotations in higher-order proof theory, arithmetic and analysis. This widespread local use of labels was an indication of an underlying logical pattern, namely the simultaneous side-by-side manipulation of several kinds of logical information. It was clear that there was a need to establish the labelled deductive systems methodology. Modal logic is one major area where labelling can be developed quickly and sys tematically with a view of demonstrating its power and significant advantage. In modal logic the labels can play a double role.

Language and Logics

An Introduction to the Logical Foundations of Language

Author: Howard Gregory

Publisher: Edinburgh University Press

ISBN: 0748691650

Category: Language Arts & Disciplines

Page: 328

View: 8618

Taking linguistics students beyond the classical forms often taught in introductory courses, Language and Logics offers a comprehensive introduction to the wide variety of useful non-classical logics that are commonly used in research. Including a brief review of classical logic and its major assumptions, this textbook provides a guided tour of modal, many valued and substructural logics. The textbook starts from simple and intuitive concepts, clearly explaining the logics of language for linguistics students who have little previous knowledge of logic or mathematics. Issues are presented and discussed clearly before going on to introduce symbolic notation.While not avoiding technical detail, the book focuses throughout on helping students develop an intuitive understanding of the field, with particular attention to conceptual questions and to the tailoring of logical systems to thinking about different applications in linguistics and beyond. This is an ideal introductory volume for advanced undergraduates and beginning postgraduate students in linguistics, and for those specializing in semantics.

Introduction to Mathematical Logic

Author: Hans Hermes

Publisher: Springer Science & Business Media

ISBN: 3642871321

Category: Mathematics

Page: 244

View: 5244

This book grew out of lectures. It is intended as an introduction to classical two-valued predicate logic. The restriction to classical logic is not meant to imply that this logic is intrinsically better than other, non-classical logics; however, classical logic is a good introduction to logic because of its simplicity, and a good basis for applications because it is the foundation of classical mathematics, and thus of the exact sciences which are based on it. The book is meant primarily for mathematics students who are already acquainted with some of the fundamental concepts of mathematics, such as that of a group. It should help the reader to see for himself the advantages of a formalisation. The step from the everyday language to a formalised language, which usually creates difficulties, is dis cussed and practised thoroughly. The analysis of the way in which basic mathematical structures are approached in mathematics leads in a natural way to the semantic notion of consequence. One of the substantial achievements of modern logic has been to show that the notion of consequence can be replaced by a provably equivalent notion of derivability which is defined by means of a calculus. Today we know of many calculi which have this property.

An Introduction to Paraconsistent Logics

Author: Manuel Bremer

Publisher: Peter Lang Pub Incorporated

ISBN: 9783631534137

Category: Technology & Engineering

Page: 249

View: 8981

This book gives an overview of paraconsistent logics - that is logics which allow for inconsistency. Although allowing for inconsistency, paraconsistent logics are worth considering: Logical systems are worth considering in their own right since we can learn about very abstract structural properties of logics and the concepts employed within them such as negation, necessity and consistency. Some non-classical logics are especially of interest from a philosophical perspective since they alone offer the possibility of solving or even stating some philosophical problems. These introductory lectures argue from a philosophical perspective that some paraconsistent logics are of interest or even the best candidates for dealing with specific philosophical problems. Although logic is seen from the point of view of its philosophical use, various formal systems are described, compared and employed.

Naive Mengenlehre

Author: Paul R. Halmos

Publisher: Vandenhoeck & Ruprecht

ISBN: 9783525405277

Category: Arithmetic

Page: 132

View: 969