Author : John Etchemendy
Publisher : Stanford Univ Center for the Study
Page : 174 pages
File Size : 16,27 MB
Release : 1999
Category : Mathematics
ISBN : 9781575861944
The aim of this book is to correct a common misunderstanding of a technique of mathematical logic.
Author : Colin R. Caret
Publisher : Mind Association Occasional
Page : 368 pages
File Size : 16,78 MB
Release : 2015
Category : Mathematics
ISBN : 0198715692
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 :
Page : 200 pages
File Size : 18,23 MB
Release : 1990
Category : Mathematics
ISBN :
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
Author : Rudolf Dreikurs
Publisher : Plume Books
Page : 236 pages
File Size : 34,26 MB
Release : 1993
Category : Family & Relationships
ISBN :
Author : Luis M Augusto
Publisher :
Page : 228 pages
File Size : 49,4 MB
Release : 2017-02-22
Category :
ISBN : 9781848902367
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 : Matthew W. McKeon
Publisher : Peter Lang
Page : 180 pages
File Size : 27,62 MB
Release : 2010
Category : Philosophy
ISBN : 9781433106453
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 : Rudolf Dreikurs
Publisher : Dutton Adult
Page : 234 pages
File Size : 43,77 MB
Release : 1968
Category : Family & Relationships
ISBN :
Proposes a system of discipline based on natural and logical consequences.
Author : JC Beall
Publisher : Oxford University Press
Page : 152 pages
File Size : 21,82 MB
Release : 2006
Category : Philosophy
ISBN : 0199288402
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 : Gil Sagi
Publisher : Cambridge University Press
Page : 316 pages
File Size : 30,56 MB
Release : 2021-09-09
Category : Mathematics
ISBN : 1108529828
This collection of new essays presents cutting-edge research on the semantic conception of logic, the invariance criteria of logicality, grammaticality, and logical truth. Contributors explore the history of the semantic tradition, starting with Tarski, and its historical applications, while central criticisms of the tradition, and especially the use of invariance criteria to explain logicality, are revisited by the original participants in that debate. Other essays discuss more recent criticism of the approach, and researchers from mathematics and linguistics weigh in on the role of the semantic tradition in their disciplines. This book will be invaluable to philosophers and logicians alike.
Author : Alexandra Zinke
Publisher : Verlag Vittorio Klostermann
Page : 186 pages
File Size : 37,35 MB
Release : 2018
Category : Philosophy
ISBN : 9783465043454
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.
