The Concept Of Logical Consequence
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The Concept Of Logical Consequence
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Author : John Etchemendy
language : en
Publisher:
Release Date : 1990
The Concept Of Logical Consequence written by John Etchemendy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
Of course we all know now that mathematics has proved that logic doesn't really make sense, but Etchemendy (philosophy, Stanford Univ.) goes further and challenges the received view of the conceptual underpinnings of modern logic by arguing that Tarski's model-theoretic analysis of logical consequences is wrong. He may have found the soft underbelly of the dead horse. Annotation copyrighted by Book News, Inc., Portland, OR
The Concept Of Logical Consequence
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Author : Matthew W. McKeon
language : en
Publisher: Peter Lang
Release Date : 2010
The Concept Of Logical Consequence written by Matthew W. McKeon and has been published by Peter Lang this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Logic categories.
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.
Logical Consequence
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Author : Gila Sher
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-08
Logical Consequence written by Gila Sher 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 2022-09-08 with Philosophy categories.
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.
The Concept Of Logical Consequence
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Author : John Etchemendy
language : en
Publisher: Stanford Univ Center for the Study
Release Date : 1999
The Concept Of Logical Consequence written by John Etchemendy and has been published by Stanford Univ Center for the Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.
The Metaphysics Of Logical Consequence
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Author : Alexandra Zinke
language : en
Publisher: Verlag Vittorio Klostermann
Release Date : 2018
The Metaphysics Of Logical Consequence written by Alexandra Zinke and has been published by Verlag Vittorio Klostermann this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018 with Philosophy categories.
The book discusses the central notion of logic: the concept of logical consequence. It shows that the classical definition of consequence as truth preservation in all models must be restricted to all admissible models. The challenge for the philosophy of logic is therefore to supplement the definition with a criterion for admissible models. The problem of logical constants, so prominent in the current debate, constitutes but a special case of this much more general demarcation problem. The book explores the various dimensions of the problem of admissible models and argues that standard responses are unwarranted. As a result, it develops a new vision of logic, suggesting in particular that logic is deeply imbued with metaphysics.
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.
Logical Consequences
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Author : Luis M Augusto
language : en
Publisher:
Release Date : 2017-02-22
Logical Consequences written by Luis M Augusto and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-22 with categories.
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.
Tarski And The Concept Of Logical Consequence
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Author : Craig Nicholas Bach
language : en
Publisher:
Release Date : 1999
Tarski And The Concept Of Logical Consequence written by Craig Nicholas Bach and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.
Concepts Of Logical Consequence
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Author :
language : en
Publisher:
Release Date : 1997
Concepts Of Logical Consequence written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with categories.
Concepts Of Logical Consequence Microform
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Author : Darcy Allen Cutler
language : en
Publisher: National Library of Canada = Bibliothèque nationale du Canada
Release Date : 1996
Concepts Of Logical Consequence Microform written by Darcy Allen Cutler and has been published by National Library of Canada = Bibliothèque nationale du Canada this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with First-order logic categories.
This dissertation is a discussion and defense of the view that model theory generally--and first-order model theory specifically--provides an adequate analysis of the notion of logical consequence presupposed by informal mathematical practice. The major theme is that the completeness theorem provides a rationale for choosing first-order model-theoretic consequence as the correct analysis of logical consequence.