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Hybrid Logic and its Proof-Theory

Hybrid Logic and its Proof-Theory
A Book

by Torben Braüner

  • Publisher : Springer Science & Business Media
  • Release : 2010-11-17
  • Pages : 231
  • ISBN : 9400700024
  • Language : En, Es, Fr & De
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This is the first book-length treatment of hybrid logic and its proof-theory. Hybrid logic is an extension of ordinary modal logic which allows explicit reference to individual points in a model (where the points represent times, possible worlds, states in a computer, or something else). This is useful for many applications, for example when reasoning about time one often wants to formulate a series of statements about what happens at specific times. There is little consensus about proof-theory for ordinary modal logic. Many modal-logical proof systems lack important properties and the relationships between proof systems for different modal logics are often unclear. In the present book we demonstrate that hybrid-logical proof-theory remedies these deficiencies by giving a spectrum of well-behaved proof systems (natural deduction, Gentzen, tableau, and axiom systems) for a spectrum of different hybrid logics (propositional, first-order, intensional first-order, and intuitionistic).

Logic and Implication

Logic and Implication
An Introduction to the General Algebraic Study of Non-classical Logics

by Petr Cintula,Carles Noguera

  • Publisher : Springer Nature
  • Release : 2022-01-01
  • Pages : 465
  • ISBN : 3030856755
  • Language : En, Es, Fr & De
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This monograph presents a general theory of weakly implicative logics, a family covering a vast number of non-classical logics studied in the literature, concentrating mainly on the abstract study of the relationship between logics and their algebraic semantics. It can also serve as an introduction to (abstract) algebraic logic, both propositional and first-order, with special attention paid to the role of implication, lattice and residuated connectives, and generalized disjunctions. Based on their recent work, the authors develop a powerful uniform framework for the study of non-classical logics. In a self-contained and didactic style, starting from very elementary notions, they build a general theory with a substantial number of abstract results. The theory is then applied to obtain numerous results for prominent families of logics and their algebraic counterparts, in particular for superintuitionistic, modal, substructural, fuzzy, and relevant logics. The book may be of interest to a wide audience, especially students and scholars in the fields of mathematics, philosophy, computer science, or related areas, looking for an introduction to a general theory of non-classical logics and their algebraic semantics.

Handbook of Philosophical Logic

Handbook of Philosophical Logic
A Book

by Dov M. Gabbay,Franz Guenthner

  • Publisher : Springer Science & Business Media
  • Release : 2002-08-31
  • Pages : 354
  • ISBN : 9781402006654
  • Language : En, Es, Fr & De
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suchquestionsforcenturies(unrestrictedbythecapabilitiesofanyhard­ ware). Theprinciplesgoverningtheinteractionofseveralprocesses,forexample, areabstractansimilartoprinciplesgoverningthecooperationoftwolarge organisation.Adetailedrulebasedeffectivebutrigidbureaucracyisvery muchsimilartoacomplexcomputerprogramhandlingandmanipulating data. Myguessisthattheprinciplesunderlyingoneareverymuchthe sameasthoseunderlyingtheother. Ibelievethedayisnotfarawayinthefuturewhenthecomputerscientist willwakeuponemorningwiththerealisationthatheisactuallyakindof formalphilosopher! TheprojectednumberofvolumesforthisHandbookisabout18.The subjecthasevolvedanditsareashavebecomeinterrelatedtosuchanextent thatitnolongermakessensetodedicatevolumestotopics.However,the volumesdofollowsomenaturalgroupingsofchapters. Iwouldliketothankourauthorsarereadersfortheircontributionsand theircommitmentinmakingthisHandbookasuccess. Thanksalsoto ourpublicationadministratorMrsJ.Spurrforherusualdedicationand excellenceandtoKluwerAcademicPublishersfortheircontinuingsupport fortheHandbook. DovGabbay King'sCollegeLondon x Logic II IT Natural Program Artificialin­ Logic p- language controlspec­ telligence gramming processing ification, verification, concurrency Temporal Expressive Expressive Planning. Extension of logic poweroftense power for re­ Time depen­ Horn clause operators. currentevents. dent data. with time Temporal Specification Eventcalculus. capability. indices. Sepa­ of tempo- Persistence Eventcalculus. rationofpast ral control. throughtime­ Temporallogic fromfuture Decisionprob­ the Frame programming. Problem.Tem­ lems. Model checking. poral query language. temporal transactions. Modal logic. generalised Actionlogic Beliefrevision. Negation by Multi-modal quantifiers Inferential failure and logics databases modality Algorithmic Discourse rep­ New logics. Generaltheory Proceduralap­ proof resentation. Generic theo­ of reasoning. proachtologic Direct com- remprovers Non-monotonic putation on systems linguisticinput Non­ Resolving Loopchecking. Intrinsiclogical Negation by monotonic ambigui- Non-monotonic discipline for failure.Deduc­ reasoning ties. Machine decisionsabout AI. Evolving tivedatabases translation. loops. Faults and com­ Document insystems. municating classification. databases Relevance theory Probabilistic logicalanalysis Realtimesys­ Expert sys­ Semantics for and fuzzy oflanguage tems tems.Machine logicprograms logic learning Intuitionistic Quantifiers in Constructive Intuitionistic Horn clause logic logic reasoning and logicisabetter logic is really proof theory logical basis intuitionistic.

Logic: A Complete Introduction: Teach Yourself

Logic: A Complete Introduction: Teach Yourself
A Book

by Siu-Fan Lee

  • Publisher : Hachette UK
  • Release : 2017-01-12
  • Pages : 384
  • ISBN : 1473608449
  • Language : En, Es, Fr & De
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Understand Logic is a comprehensive introduction to this fascinating though sometimes challenging subject. As well as looking at logic in theoretical terms the book considers its everyday uses and demonstrates how it has genuine practical applications. It will take you step by step through the most difficult concepts and is packed with exercises to help you consolidate your learning at every stage. Covering everything from syllogistic logic to logical paradoxes and even looking at logic in Alice in Wonderland, this is the only guide you will ever need.

Logic and Foundations of Mathematics

Logic and Foundations of Mathematics
Selected Contributed Papers of the Tenth International Congress of Logic, Methodology and Philosophy of Science, Florence, August 1995

by Andrea Cantini,Ettore Casari,Pierluigi Minari

  • Publisher : Springer Science & Business Media
  • Release : 2013-03-09
  • Pages : 284
  • ISBN : 9401721092
  • Language : En, Es, Fr & De
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The IOth International Congress of Logic, Methodology and Philosophy of Science, which took place in Florence in August 1995, offered a vivid and comprehensive picture of the present state of research in all directions of Logic and Philosophy of Science. The final program counted 51 invited lectures and around 700 contributed papers, distributed in 15 sections. Following the tradition of previous LMPS-meetings, some authors, whose papers aroused particular interest, were invited to submit their works for publication in a collection of selected contributed papers. Due to the large number of interesting contributions, it was decided to split the collection into two distinct volumes: one covering the areas of Logic, Foundations of Mathematics and Computer Science, the other focusing on the general Philosophy of Science and the Foundations of Physics. As a leading choice criterion for the present volume, we tried to combine papers containing relevant technical results in pure and applied logic with papers devoted to conceptual analyses, deeply rooted in advanced present-day research. After all, we believe this is part of the genuine spirit underlying the whole enterprise of LMPS studies.

Logic of Imagination

Logic of Imagination
The Expanse of the Elemental

by John Sallis

  • Publisher : Indiana University Press
  • Release : 2012
  • Pages : 286
  • ISBN : 0253005906
  • Language : En, Es, Fr & De
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The Shakespearean image of a tempest and its aftermath forms the beginning as well as a major guiding thread of Logic of Imagination. Moving beyond the horizons of his earlier work, Force of Imagination, John Sallis sets out to unsettle the traditional conception of logic, to mark its limits, and, beyond these limits, to launch another, exorbitant logic—a logic of imagination. Drawing on a vast range of sources, including Plato, Aristotle, Kant, Hegel, Nietzsche, and Freud, as well as developments in modern logic and modern mathematics, Sallis shows how a logic of imagination can disclose the most elemental dimensions of nature and of human existence and how, through dialogue with contemporary astrophysics, it can reopen the project of a philosophical cosmology.

Logic Colloquium 2007

Logic Colloquium 2007
A Book

by Françoise Delon,Ulrich Kohlenbach,Penelope Maddy,Frank Stephan

  • Publisher : Cambridge University Press
  • Release : 2010-06-07
  • Pages : 267
  • ISBN : 1139488937
  • Language : En, Es, Fr & De
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The Annual European Meeting of the Association for Symbolic Logic, also known as the Logic Colloquium, is among the most prestigious annual meetings in the field. The current volume, Logic Colloquium 2007, with contributions from plenary speakers and selected special session speakers, contains both expository and research papers by some of the best logicians in the world. This volume covers many areas of contemporary logic: model theory, proof theory, set theory, and computer science, as well as philosophical logic, including tutorials on cardinal arithmetic, on Pillay's conjecture, and on automatic structures. This volume will be invaluable for experts as well as those interested in an overview of central contemporary themes in mathematical logic.

Computation, Logic, Philosophy

Computation, Logic, Philosophy
A Collection of Essays

by Wang Hao

  • Publisher : Springer Science & Business Media
  • Release : 2012-12-06
  • Pages : 373
  • ISBN : 9400923562
  • Language : En, Es, Fr & De
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~Et moi ... si j'avait su comment en revenir, One service mathematics has rendered the je n'y serais point alle.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non· The series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Temporal Logic and State Systems

Temporal Logic and State Systems
A Book

by Fred Kröger,Stephan Merz

  • Publisher : Springer Science & Business Media
  • Release : 2008-03-12
  • Pages : 436
  • ISBN : 3540686355
  • Language : En, Es, Fr & De
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Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.

Language and Logic

Language and Logic
A speculative and condition-theoretic study

by Johan van der Auwera

  • Publisher : John Benjamins Publishing
  • Release : 1985-01-01
  • Pages : 256
  • ISBN : 9027279543
  • Language : En, Es, Fr & De
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In this volume Van der Auwera attempts to clarify the idea that language reflects both mind and reality and to elucidate the reflection idea by turning it into the cornerstone of a linguistic theory of meaning.

The Oxford Handbook of Philosophy of Mathematics and Logic

The Oxford Handbook of Philosophy of Mathematics and Logic
A Book

by Stewart Shapiro

  • Publisher : Oxford University Press
  • Release : 2005-02-10
  • Pages : 856
  • ISBN : 0190287535
  • Language : En, Es, Fr & De
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Mathematics and logic have been central topics of concern since the dawn of philosophy. Since logic is the study of correct reasoning, it is a fundamental branch of epistemology and a priority in any philosophical system. Philosophers have focused on mathematics as a case study for general philosophical issues and for its role in overall knowledge- gathering. Today, philosophy of mathematics and logic remain central disciplines in contemporary philosophy, as evidenced by the regular appearance of articles on these topics in the best mainstream philosophical journals; in fact, the last decade has seen an explosion of scholarly work in these areas. This volume covers these disciplines in a comprehensive and accessible manner, giving the reader an overview of the major problems, positions, and battle lines. The 26 contributed chapters are by established experts in the field, and their articles contain both exposition and criticism as well as substantial development of their own positions. The essays, which are substantially self-contained, serve both to introduce the reader to the subject and to engage in it at its frontiers. Certain major positions are represented by two chapters--one supportive and one critical. The Oxford Handbook of Philosophy of Math and Logic is a ground-breaking reference like no other in its field. It is a central resource to those wishing to learn about the philosophy of mathematics and the philosophy of logic, or some aspect thereof, and to those who actively engage in the discipline, from advanced undergraduates to professional philosophers, mathematicians, and historians.

The Development of Mathematical Logic

The Development of Mathematical Logic
A Book

by P. H. Nidditch

  • Publisher : Routledge
  • Release : 2019-11-04
  • Pages : 94
  • ISBN : 100073708X
  • Language : En, Es, Fr & De
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Originally published in 1962. A clear and simple account of the growth and structure of Mathematical Logic, no earlier knowledge of logic being required. After outlining the four lines of thought that have been its roots - the logic of Aristotle, the idea of all the parts of mathematics as systems to be designed on the same sort of plan as that used by Euclid and his Elements, and the discoveries in algebra and geometry in 1800-1860 - the book goes on to give some of the main ideas and theories of the chief writers on Mathematical Logic: De Morgan, Boole, Jevons, Pierce, Frege, Peano, Whitehead, Russell, Post, Hilbert and Goebel. Written to assist readers who require a general picture of current logic, it will also be a guide for those who will later be going more deeply into the expert details of this field.

The Service-Dominant Logic of Marketing

The Service-Dominant Logic of Marketing
Dialog, Debate, and Directions

by Robert F. Lusch,Stephen L. Vargo

  • Publisher : Routledge
  • Release : 2014-12-18
  • Pages : 449
  • ISBN : 1317454634
  • Language : En, Es, Fr & De
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Expanding on the editors' award-winning article "Evolving to a New Dominant Logic for Marketing," this book presents a challenging new paradigm for the marketing discipline. This new paradigm is service-oriented, customer-oriented, relationship-focused, and knowledge-based, and places marketing, once viewed as a support function, central to overall business strategy. Service-dominant logic defines service as the application of competencies for the benefit of another entity and sees mutual service provision, rather than the exchange of goods, as the proper subject of marketing. It moves the orientation of marketing from a "market to" philosophy where customers are promoted to, targeted, and captured, to a "market with" philosophy where the customer and supply chain partners are collaborators in the entire marketing process. The editors elaborate on this model through an historical analysis, clarification, and extension of service-dominant logic, and distinguished marketing thinkers then provide further insight and commentary. The result is a more comprehensive and inclusive marketing theory that will challenge both current thinking and marketing practice.

A New Paradigm in Marketing – The Service Dominant Logic: Academia’s Reactions to the Theory of Vargo and Lusch

A New Paradigm in Marketing – The Service Dominant Logic: Academia’s Reactions to the Theory of Vargo and Lusch
A Book

by Christina Weißenfels

  • Publisher : Anchor Academic Publishing (aap_verlag)
  • Release : 2014-04
  • Pages : 60
  • ISBN : 3954892537
  • Language : En, Es, Fr & De
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For virtually all of the 20th century, the paradigm in marketing was founded on early economic thoughts, making goods and exchanges the focal point of economic research and practice. In the 1980s and 1990s, scholars called for a paradigm shift, but did not deliver clear directives on how to move forward. It was not before 2004 when Stephen L. Vargo and Robert F. Lusch published their award-winning article Evolving to a New Dominant Logic for Marketing in the Journal of Marketing, dealing with a potentially new paradigm for marketing. The publication has caused a lot of discussions, crowned by a collection of essays from more than 50 scholars in 2006. This book aims at looking into the reactions and discussions regarding the proposed service-dominant logic in more detail. So far, no comprehensive overview of the existing literature has yet been made. This book will introduce the basic ideas of the service-dominant logic, followed by a detailed state-of-literature. The last part of the book will examine whether the concepts of a service-dominant logic display similarities with concepts of B2B marketing and whether they could successfully be adopted in B2B markets.

Relating Hegel's Science of Logic to Contemporary Philosophy

Relating Hegel's Science of Logic to Contemporary Philosophy
Themes and Resonances

by L. Guzman

  • Publisher : Springer
  • Release : 2015-04-07
  • Pages : 212
  • ISBN : 1137454504
  • Language : En, Es, Fr & De
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This book offers an interpretation of certain Hegelian concepts, and their relevance to various themes in contemporary philosophy, which will allow for a non-metaphysical understanding of his thought, further strengthening his relevance to philosophy today by placing him in the midst of current debates.

Closure Spaces and Logic

Closure Spaces and Logic
A Book

by N.M. Martin,S. Pollard

  • Publisher : Springer Science & Business Media
  • Release : 2013-03-09
  • Pages : 230
  • ISBN : 147572506X
  • Language : En, Es, Fr & De
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This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic. If a theory is especially abstract, it may find a natural home within several of the more familiar branches of mathematics. This is the case with the theory of closure spaces. It might be considered part of topology, lattice theory, universal algebra or, no doubt, one of several other branches of mathematics as well. In our development we have treated it, conceptually and methodologically, as part of topology, partly because we first thought ofthe basic structure involved (closure space), as a generalization of Frechet's concept V-space. V-spaces have been used in some developments of general topology as a generalization of topological space. Indeed, when in the early '50s, one of us started thinking about closure spaces, we thought ofit as the generalization of Frechet V space which comes from not requiring the null set to be CLOSURE SPACES ANDLOGIC XlI closed(as it is in V-spaces). This generalization has an extreme advantage in connection with application to logic, since the most important closure notion in logic, deductive closure, in most cases does not generate a V-space, since the closure of the null set typically consists of the "logical truths" of the logic being examined.

Kielmeyer and the Organic World

Kielmeyer and the Organic World
Texts and Interpretations

by Lydia Azadpour,Daniel Whistler

  • Publisher : Bloomsbury Publishing
  • Release : 2020-12-10
  • Pages : 248
  • ISBN : 1350143480
  • Language : En, Es, Fr & De
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Carl Friedrich Kielmeyer (1765-1844) was the 'father of philosophy of nature' owing to his profound influence on German Idealist and Romantic Naturphilosophie. With the recent growth of interest in Idealist and Romantic philosophy of nature in the UK and abroad, the importance of Kielmeyer's work is being increasingly recognised and special attention is being paid to his influence on biology's development as a distinct discipline at the end of the eighteenth century. In this exciting new book, Lydia Azadpour and Daniel Whistler present the first ever English translations of key texts by Kielmeyer, along with contextual and interpretative essays by leading international scholars, who are experts on the philosophy of nature and the formation of the life sciences in the late eighteenth century. The topics they cover include: the laws of nature, the concept of force, the meaning of 'organism', the logic of recapitulation, Kielmeyer and ecology, sexual differentiation in animal life and Kielmeyer's relationship to Kant, Schelling and Hegel. In doing so, they provide a comprehensive English reference to Kielmeyer's historical and contemporary significance.

Jumpstart Logic Pro 10.6

Jumpstart Logic Pro 10.6
Create professional music with Apple’s flagship digital audio workstation app

by Jay Asher

  • Publisher : Packt Publishing Ltd
  • Release : 2020-10-30
  • Pages : 304
  • ISBN : 1800561458
  • Language : En, Es, Fr & De
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Logic Pro is a powerful digital audio workstation that comes with all the software tools you need to create great-sounding music. This practical guide helps you understand what Logic Pro can do and how to approach accomplishing your musical tasks through expert guidance and years of experience distilled into the best practices.

A Beginner's Guide to Mathematical Logic

A Beginner's Guide to Mathematical Logic
A Book

by Raymond M. Smullyan

  • Publisher : Courier Corporation
  • Release : 2014-07-23
  • Pages : 288
  • ISBN : 0486492370
  • Language : En, Es, Fr & De
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Written by a creative master of mathematical logic, this introductory text combines stories of great philosophers, quotations, and riddles with the fundamentals of mathematical logic. Author Raymond Smullyan offers clear, incremental presentations of difficult logic concepts. He highlights each subject with inventive explanations and unique problems. Smullyan's accessible narrative provides memorable examples of concepts related to proofs, propositional logic and first-order logic, incompleteness theorems, and incompleteness proofs. Additional topics include undecidability, combinatoric logic, and recursion theory. Suitable for undergraduate and graduate courses, this book will also amuse and enlighten mathematically minded readers. Dover (2014) original publication. See every Dover book in print at www.doverpublications.com

Language, Truth, and Logic

Language, Truth, and Logic
A Book

by Alfred Jules Ayer,Alfred Jules Ayer, Sir,Jules Alfred Ayer

  • Publisher : Courier Corporation
  • Release : 1952
  • Pages : 160
  • ISBN : 0486200108
  • Language : En, Es, Fr & De
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A dissertation in the tradition of logical positivism includes a discussion of the functions and methods of philosophy and a critique of ethics and theology