Logical Consequence

Author : Colin R. Caret,Ole T. Hjortland
Publisher : OUP Oxford
Page : 328 pages
File Size : 53,7 Mb
Release : 2015-05-14
Category : Philosophy
ISBN : 9780191024801

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Foundations of Logical Consequence by Colin R. Caret,Ole T. Hjortland Pdf

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.

Author : John Etchemendy
Publisher : Stanford Univ Center for the Study
Page : 174 pages
File Size : 49,5 Mb
Release : 1999
Category : Mathematics
ISBN : 1575861941

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The Concept of Logical Consequence by John Etchemendy Pdf

The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.

Author : Luis M Augusto
Publisher : Unknown
Page : 228 pages
File Size : 55,8 Mb
Release : 2017-02-22
Category : Electronic
ISBN : 1848902360

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Logical Consequences by Luis M Augusto Pdf

The theory of logical consequence is central in modern logic and its applications. However, it is mostly dispersed in an abundance of often difficultly accessible papers, and rarely treated with applications in mind. This book collects the most fundamental aspects of this theory and offers the reader the basics of its applications in computer science, artificial intelligence, and cognitive science, to name but the most important fields where this notion finds its many applications. Both deductive and non-deductive consequence are discussed. The starting point is classical deductive consequence: classical logic is the reference system, and the non-classical deductive systems are seen as extensions, deviations, or variations thereof. The discussion of non-classical deductive consequence focuses on many-valued, intuitionistic, modal, paraconsistent, and substructural logical consequences. The topic of non-deductive consequence is elaborated on from the viewpoints of abductive, inductive, and probabilistic logics. All in all, the major contemporary (classes of) logical systems are here discussed. The approach is mathematical in essence, and the mathematical background, mainly founded on order relations, is treated thoroughly and in an accessible way for the non-mathematician.

Author : Gila Sher
Publisher : Cambridge University Press
Page : 182 pages
File Size : 41,6 Mb
Release : 2022-09-08
Category : Philosophy
ISBN : 9781108991230

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Logical Consequence by Gila Sher Pdf

To understand logic is, first and foremost, to understand logical consequence. This Element provides an in-depth, accessible, up-to-date account of and philosophical insight into the semantic, model-theoretic conception of logical consequence, its Tarskian roots, and its ideas, grounding, and challenges. The topics discussed include: (i) the passage from Tarski's definition of truth (simpliciter) to his definition of logical consequence, (ii) the need for a non-proof-theoretic definition, (iii) the idea of a semantic definition, (iv) the adequacy conditions of preservation of truth, formality, and necessity, (v) the nature, structure, and totality of models, (vi) the logicality problem that threatens the definition of logical consequence (the problem of logical constants), (vii) a general solution to the logicality, formality, and necessity problems/challenges, based on the isomorphism-invariance criterion of logicality, (viii) philosophical background and justification of the isomorphism-invariance criterion, and (ix) major criticisms of the semantic definition and the isomorphism-invariance criterion.

Author : Colin R. Caret,Ole T. Hjortland
Publisher : Mind Association Occasional
Page : 368 pages
File Size : 52,5 Mb
Release : 2015
Category : Mathematics
ISBN : 9780198715696

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Foundations of Logical Consequence by Colin R. Caret,Ole T. Hjortland Pdf

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.

Author : Matthew W. McKeon
Publisher : Peter Lang
Page : 180 pages
File Size : 50,8 Mb
Release : 2010
Category : Logic
ISBN : 1433106450

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The Concept of Logical Consequence by Matthew W. McKeon Pdf

The Concept of Logical Consequence is a critical evaluation of the model-theoretic and proof-theoretic characterizations of logical consequence that proceeds from Alfred Tarski's characterization of the informal concept of logical consequence. This study evaluates and expands upon ideas set forth in Tarski's 1936 article on logical consequence, and appeals to his 1935 article on truth. Classical logic, as well as extensions and deviations are considered. Issues in the philosophy of logic such as the nature of logical constants, the philosophical significance of completeness, and the metaphysical and epistemological implications of logic are discussed in the context of the examination of the concept of logical consequence.

Author : Erik Stei
Publisher : Cambridge University Press
Page : 229 pages
File Size : 49,7 Mb
Release : 2023-03-30
Category : Philosophy
ISBN : 9781108851879

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Logical Pluralism and Logical Consequence by Erik Stei Pdf

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.

Author : Jacek Malinowski
Publisher : Springer Nature
Page : 473 pages
File Size : 42,5 Mb
Release : 2024-06-27
Category : Electronic
ISBN : 9783031444906

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Janusz Czelakowski on Logical Consequence by Jacek Malinowski Pdf

Author : Rudolf Dreikurs
Publisher : Plume Books
Page : 236 pages
File Size : 45,6 Mb
Release : 1993
Category : Family & Relationships
ISBN : PSU:000025767841

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Logical Consequences by Rudolf Dreikurs Pdf

Author : Rudolf Dreikurs,Loren Grey
Publisher : Dutton Adult
Page : 234 pages
File Size : 51,6 Mb
Release : 1968
Category : Family & Relationships
ISBN : IND:30000061604181

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Logical Consequences by Rudolf Dreikurs,Loren Grey Pdf

Proposes a system of discipline based on natural and logical consequences.

Author : JC Beall,Jeffrey C. Beall,Greg Restall
Publisher : Oxford University Press on Demand
Page : 152 pages
File Size : 54,8 Mb
Release : 2006
Category : Philosophy
ISBN : 9780199288403

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Logical Pluralism by JC Beall,Jeffrey C. Beall,Greg Restall Pdf

Consequence is at the heart of logic, and an account of consequence offers a vital tool in the evaluation of arguments. This text presents what the authors term as 'logical pluralism' arguing that the notion of logical consequence doesn't pin down one deductive consequence relation; it allows for many of them.

Author : Didier J. Dubois,Henri Prade,Ronald R. Yager
Publisher : Morgan Kaufmann
Page : 929 pages
File Size : 48,7 Mb
Release : 2014-05-12
Category : Computers
ISBN : 9781483214504

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Readings in Fuzzy Sets for Intelligent Systems by Didier J. Dubois,Henri Prade,Ronald R. Yager Pdf

Readings in Fuzzy Sets for Intelligent Systems is a collection of readings that explore the main facets of fuzzy sets and possibility theory and their use in intelligent systems. Basic notions in fuzzy set theory are discussed, along with fuzzy control and approximate reasoning. Uncertainty and informativeness, information processing, and membership, cognition, neural networks, and learning are also considered. Comprised of eight chapters, this book begins with a historical background on fuzzy sets and possibility theory, citing some forerunners who discussed ideas or formal definitions very close to the basic notions introduced by Lotfi Zadeh (1978). The reader is then introduced to fundamental concepts in fuzzy set theory, including symmetric summation and the setting of fuzzy logic; uncertainty and informativeness; and fuzzy control. Subsequent chapters deal with approximate reasoning; information processing; decision and management sciences; and membership, cognition, neural networks, and learning. Numerical methods for fuzzy clustering are described, and adaptive inference in fuzzy knowledge networks is analyzed. This monograph will be of interest to both students and practitioners in the fields of computer science, information science, applied mathematics, and artificial intelligence.

Author : Majda Trobok,Nenad Miščević,Berislav Žarnić
Publisher : Springer Science & Business Media
Page : 282 pages
File Size : 53,8 Mb
Release : 2011-11-23
Category : Philosophy
ISBN : 9789400723900

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Between Logic and Reality by Majda Trobok,Nenad Miščević,Berislav Žarnić Pdf

Is reality logical and is logic real? What is the origin of logical intuitions? What is the role of logical structures in the operations of an intelligent mind and in communication? Is the function of logical structure regulative or constitutive or both in concept formation? This volume provides analyses of the logic-reality relationship from different approaches and perspectives. The point of convergence lies in the exploration of the connections between reality – social, natural or ideal – and logical structures employed in describing or discovering it. Moreover, the book connects logical theory with more concrete issues of rationality, normativity and understanding, thus pointing to a wide range of potential applications. The papers collected in this volume address cutting-edge topics in contemporary discussions amongst specialists. Some essays focus on the role of indispensability considerations in the justification of logical competence, and the wide range of challenges within the philosophy of mathematics. Others present advances in dynamic logical analysis such as extension of game semantics to non-logical part of vocabulary and development of models of contractive speech act.

Author : Robyn Renee Jackson
Publisher : ASCD
Page : 269 pages
File Size : 40,5 Mb
Release : 2009
Category : Education
ISBN : 9781416607571

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Never Work Harder Than Your Students & Other Principles of Great Teaching by Robyn Renee Jackson Pdf

Is great teaching a gift that only a few of us are born with, or is it a skill that can be learned? In Never Work Harder Than Your Students, Robyn Jackson makes a radical assertion: Any teacher can become a master teacher by developing a master teacher mindset, The master teacher mindset can be achieved by rigorously applying seven principles to your teaching until they become your automatic response to students in the classroom. The more you practice these principles, the more you begin to think like a master teacher. The seven principles are 1. Start where your students are. 2. Know where your students are going. 3. Expect to get your students to their goal. 4. Support your students along the way. 5. Use feedback to help you and your students get better. 6. Focus on quality rather than quantity. 7. Never work harder than your students. Using these seven principles, Jackson shows you how to become a master teacher no matter where you are in your practices. Each chapter provides a detailed explanation of one of the mastery principles, the steps you need to take to apply them to your own practice, and suggestions for how you can begin practicing the principle in your classroom right away. Jackson offers stories from her own teaching practice as well as from other teachers she has helped to show you how each principle works. Teaching is a hard job, but using JacksonÆs principles will help you and your students reap the rich rewards of that hard work. Book jacket.

Author : Dale Jacquette
Publisher : John Wiley & Sons
Page : 832 pages
File Size : 43,9 Mb
Release : 2008-04-15
Category : Philosophy
ISBN : 9781405149945

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A Companion to Philosophical Logic by Dale Jacquette Pdf

This collection of newly comissioned essays by international contributors offers a representative overview of the most important developments in contemporary philosophical logic. Presents controversies in philosophical implications and applications of formal symbolic logic. Surveys major trends and offers original insights.