Foundations Of Logical Consequence
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Foundations Of Logical Consequence
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Author : Colin R. Caret
language : en
Publisher: Mind Association Occasional
Release Date : 2015
Foundations Of Logical Consequence written by Colin R. Caret and has been published by Mind Association Occasional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
Logical consequence is the relation that obtains between premises and conclusion(s) in a valid argument. Orthodoxy has it that valid arguments are necessarily truth-preserving, but this platitude only raises a number of further questions, such as: how does the truth of premises guarantee the truth of a conclusion, and what constraints does validity impose on rational belief? This volume presents thirteen essays by some of the most important scholars in the field of philosophical logic. The essays offer ground-breaking new insights into the nature of logical consequence; the relation between logic and inference; how the semantics and pragmatics of natural language bear on logic; the relativity of logic; and the structural properties of the consequence relation.
Foundations Of Logical Consequence
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Author : Colin R. Caret
language : en
Publisher:
Release Date : 2015
Foundations Of Logical Consequence written by Colin R. Caret and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Consequentialism categories.
This volume presents new work on a central issue in the philosophy of logic. Leading figures in the field offer ground-breaking insights into topics including the nature of logical consequence; the relation between logic and inference; the relativity of logic; and the structural properties of the consequence relation.
Logical Pluralism And Logical Consequence
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Author : Erik Stei
language : en
Publisher: Cambridge University Press
Release Date : 2023-03-30
Logical Pluralism And Logical Consequence written by Erik Stei and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-03-30 with Philosophy categories.
Logical pluralism is the view that there is more than one correct logic. This is not necessarily a controversial claim but in its most exciting formulations, pluralism extends to logics that have typically been considered rival accounts of logical consequence – to logics, that is, which adopt seemingly contradictory views about basic logical laws or arguments. The logical pluralist challenges the philosophical orthodoxy that an argument is either deductively valid or invalid by claiming that there is more than one way for an argument to be valid. In this book, Erik Stei defends logical monism, provides a detailed analysis of different possible formulations of logical pluralism, and offers an original account of the plurality of correct logics that incorporates the benefits of both pluralist and monist approaches to logical consequence. His book will be valuable for a range of readers in the philosophy of logic.
Foundations Of Probabilistic Logic Programming
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Author : Fabrizio Riguzzi
language : en
Publisher: CRC Press
Release Date : 2023-07-07
Foundations Of Probabilistic Logic Programming written by Fabrizio Riguzzi and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-07 with Computers categories.
Since its birth, the field of Probabilistic Logic Programming has seen a steady increase of activity, with many proposals for languages and algorithms for inference and learning. This book aims at providing an overview of the field with a special emphasis on languages under the Distribution Semantics, one of the most influential approaches. The book presents the main ideas for semantics, inference, and learning and highlights connections between the methods. Many examples of the book include a link to a page of the web application http://cplint.eu where the code can be run online. This 2nd edition aims at reporting the most exciting novelties in the field since the publication of the 1st edition. The semantics for hybrid programs with function symbols was placed on a sound footing. Probabilistic Answer Set Programming gained a lot of interest together with the studies on the complexity of inference. Algorithms for solving the MPE and MAP tasks are now available. Inference for hybrid programs has changed dramatically with the introduction of Weighted Model Integration. With respect to learning, the first approaches for neuro-symbolic integration have appeared together with algorithms for learning the structure for hybrid programs. Moreover, given the cost of learning PLPs, various works proposed language restrictions to speed up learning and improve its scaling.
Logic The Basics
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Author : Jc Beall
language : en
Publisher: Routledge
Release Date : 2017-04-20
Logic The Basics written by Jc Beall and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-20 with Philosophy categories.
Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic (first monadic, then polyadic) · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of how they can take their knowledge further. With its wealth of exercises (solutions available in the encyclopedic online supplement), Logic: The Basics is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic.
Foundations Of Software Science And Computation Structures
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Author : Wolfgang Thomas
language : en
Publisher: Springer
Release Date : 2003-07-31
Foundations Of Software Science And Computation Structures written by Wolfgang Thomas and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-31 with Computers categories.
This book constitutes the refereed proceedings of the Second International Conference on Foundations of Software Science and Computation Structures, FOSSACS '99, held in Amsterdam, The Netherlands in March 1999 as part of ETAPS'99. The 18 revised full papers presented were carefully selected from a total of 40 submissions. Also included are three invited papers. The central issues of the papers are theories and methods which suport the specification, transformation, verification and analysis of programs and software systems.
Foundations Of Formal Logic
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Author : Richard Johnson
language : en
Publisher: HiTeX Press
Release Date : 2025-06-12
Foundations Of Formal Logic written by Richard Johnson and has been published by HiTeX Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-06-12 with Computers categories.
"Foundations of Formal Logic" "Foundations of Formal Logic" presents a sweeping and rigorous exploration of the principles, systems, and philosophical underpinnings of modern formal logic. Beginning with a rich historical and philosophical context, the book traces the emergence of logical reasoning from its ancient origins through the revolutionary contributions of Aristotle and Frege, ultimately charting the evolution of formal systems and their foundational role in mathematics. Engaging with pivotal philosophical debates—spanning realism, nominalism, logicism, formalism, and intuitionism—it offers critical insight into the shifting landscape of logic’s interpretation and its continuing influence on contemporary thought. Delving into the technical heart of the subject, the text systematically covers the syntax and semantics of formal languages, propositional and predicate logic, and the intricate structures of model theory and proof theory. Readers are guided through the construction of formal languages, the architecture of proofs, and the profound implications of soundness, completeness, and compactness theorems. Advanced and non-classical logics—including modal, temporal, intuitionistic, paraconsistent, and fuzzy logics—are deftly introduced, highlighting the depth and versatility of formal reasoning in addressing complex phenomena. The latter chapters bridge logic with the wider intellectual landscape, illuminating its centrality to computer science, artificial intelligence, mathematics, linguistics, and the sciences. Foundational milestones, such as Gödel’s incompleteness theorems and Turing’s theory of computation, stand alongside discussions of formal verification, knowledge representation, and the logical foundations of databases. Concluding with a survey of open problems, new paradigms, and ethical dimensions, "Foundations of Formal Logic" equips readers with both a comprehensive reference and a roadmap to the enduring questions and future frontiers of logical inquiry.
Foundations Without Foundationalism
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Author : Stewart Shapiro
language : en
Publisher: Clarendon Press
Release Date : 1991-09-19
Foundations Without Foundationalism written by Stewart Shapiro and has been published by Clarendon Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-19 with Mathematics categories.
The central contention of this book is that second-order logic has a central role to play in laying the foundations of mathematics. In order to develop the argument fully, the author presents a detailed development of higher-order logic, including a comprehensive discussion of its semantics. Professor Shapiro demonstrates the prevalence of second-order notions in mathematics is practised, and also the extent to which mathematical concepts can be formulated in second-order languages . He shows how first-order languages are insufficient to codify many concepts in contemporary mathematics, and thus that higher-order logic is needed to fully reflect current mathematics. Throughout, the emphasis is on discussing the philosophical and historical issues associated with this subject, and the implications that they have for foundational studies. For the most part, the author assumes little more than a familiarity with logic as might be gained from a beginning graduate course which includes the incompleteness of arithmetic and the Lowenheim-Skolem theorems. All those concerned with the foundations of mathematics will find this a thought-provoking discussion of some of the central issues in this subject.
Perspectives On Deduction Contemporary Studies In The Philosophy History And Formal Theories Of Deduction
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Author : Antonio Piccolomini d'Aragona
language : en
Publisher: Springer Nature
Release Date : 2024-04-01
Perspectives On Deduction Contemporary Studies In The Philosophy History And Formal Theories Of Deduction written by Antonio Piccolomini d'Aragona and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-01 with Philosophy categories.
This book provides philosophers and logicians with a broad spectrum of views on contemporary research on the problem of deduction, its justification and explanation. The variety of distinct approaches exemplified by the single chapters allows for a dialogue between perspectives that, usually, barely communicate with each other. The contributions concern (in a possibly intertwined way) three major perspectives in logic: philosophical, historical, formal. The philosophical perspective has to do with the relationship between deductive validity and truth, and questions the alleged conclusiveness of deduction and its epistemic contribution. It also discusses the role of linguistic acts in deductive practice, and provides a cognitive-didactic contribution on how we may learn through deduction. In the historical perspective, the contributions discuss the ideas of some major historical figures, such as Bolzano, Girard, Gödel, and Peano. Finally, in the formal perspective, the mathematics of deduction is dealt with mainly from an intuitionistic-constructivist or proof-theoretic point of view, with focus on “ecumenic” or internalistic approaches to logical validity, on the nature and identity of proofs, and on dialogical setups. Chapter [14] is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.
Foundations Of Information And Knowledge Systems
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Author : Dietmar Seipel
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-02-03
Foundations Of Information And Knowledge Systems written by Dietmar Seipel 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 2004-02-03 with Computers categories.
This book constitutes the refereed proceedings of the Third International Symposium on Foundations of Information and Knowledge Systems, FoIKS 2004 held at Wilheminenburg Castle, Austria in February 2004. The 18 revised full papers presented together with 2 invited papers were carefully reviewed and selected from 64 submissions. Among the topics covered are data integration, data security, logic programming and databases, relational reasoning, database queries, higher-order data models, updates, database views, OLAP, belief modeling, fixpoint computations, interaction schemes, plan databases, etc.