Topics In Modern Logic

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Topics In Philosophical Logic

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Author : N. Rescher
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09

Topics In Philosophical Logic written by N. Rescher 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 2013-03-09 with Philosophy categories.

The aim of the book is to introduce the reader to some new areas oflogic which have yet to find their way into the bulk of modern logic books written from the more orthodox direction of the mainstream of develop ments. Such a work seems to me much needed, both because of the in trinsic value and increasing prominence of the nonstandard sector of logic, and because this particular sector is of the greatest interest from the standpoint of philosophical implications and applications. This book unites a series of studies in philosophical logic, drawing for the most part on material which I have contributed to the journal liter ature of the subject over the past ten years. Despite the fact that some of these essays have been published in various journals at different times, they possess a high degree of thematic and methodological unity. All of these studies deal with material of substantial current interest in philo sophical logic and embody a fusion of the modern techniques of logical and linguistic-philosophical analysis for the exploration of areas of logic that are of substantial philosophical relevance.

Topics In Modern Logic

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Author : D C Makinson
language : en
Publisher: Routledge
Release Date : 2021-04-02

Topics In Modern Logic written by D C Makinson and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-02 with categories.

Originally published in 1973. This book is directed to the student of philosophy whose background in mathematics is very limited. The author strikes a balance between material of a philosophical and a formal kind, and does this in a way that will bring out the intricate connections between the two. On the formal side, he gives particular care to provide the basic tools from set theory and arithmetic that are needed to study systems of logic, setting out completeness results for two, three, and four valued logic, explaining concepts such as freedom and bondage in quantificational logic, describing the intuitionistic conception of the logical operators, and setting out Zermelo's axiom system for set theory. On the philosophical side, he gives particular attention to such topics as the problem of entailment, the import of the Löwenheim-Skolem theorem, the expressive powers of quantificational logic, the ideas underlying intuitionistic logic, the nature of set theory, and the relationship between logic and set theory. There are exercises within the text, set out alongside the theoretical ideas that they involve.

Philosophical Logic

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Author : George Englebretsen
language : en
Publisher: A&C Black
Release Date : 2011-03-24

Philosophical Logic written by George Englebretsen and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-24 with Philosophy categories.

Introduces students to non-classical logic, syllogistic, to quantificational and modal logic. The book includes exercises throughout and a glossary of terms and symbols.

Current Topics In Logic And Analytic Philosophy

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Author : Concha Martínez
language : en
Publisher: Univ Santiago de Compostela
Release Date : 2007

Current Topics In Logic And Analytic Philosophy written by Concha Martínez and has been published by Univ Santiago de Compostela this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Philosophy categories.

Modern Mathematical Logic

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Author : Joseph Mileti
language : en
Publisher: Cambridge University Press
Release Date : 2022-09-22

Modern Mathematical Logic written by Joseph Mileti 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 2022-09-22 with Mathematics categories.

This textbook gives a complete and modern introduction to mathematical logic. The author uses contemporary notation, conventions, and perspectives throughout, and emphasizes interactions with the rest of mathematics. In addition to covering the basic concepts of mathematical logic and the fundamental material on completeness, compactness, and incompleteness, it devotes significant space to thorough introductions to the pillars of the modern subject: model theory, set theory, and computability. Requiring only a modest background of undergraduate mathematics, the text can be readily adapted for a variety of one- or two-semester courses at the upper-undergraduate or beginning-graduate level. Numerous examples reinforce the key ideas and illustrate their applications, and a wealth of classroom-tested exercises serve to consolidate readers' understanding. Comprehensive and engaging, this book offers a fresh approach to this enduringly fascinating and important subject.

Philosophical And Mathematical Logic

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Author : Harrie de Swart
language : en
Publisher: Springer
Release Date : 2018-11-28

Philosophical And Mathematical Logic written by Harrie de Swart and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-28 with Philosophy categories.

This book was written to serve as an introduction to logic, with in each chapter – if applicable – special emphasis on the interplay between logic and philosophy, mathematics, language and (theoretical) computer science. The reader will not only be provided with an introduction to classical logic, but to philosophical (modal, epistemic, deontic, temporal) and intuitionistic logic as well. The first chapter is an easy to read non-technical Introduction to the topics in the book. The next chapters are consecutively about Propositional Logic, Sets (finite and infinite), Predicate Logic, Arithmetic and Gödel’s Incompleteness Theorems, Modal Logic, Philosophy of Language, Intuitionism and Intuitionistic Logic, Applications (Prolog; Relational Databases and SQL; Social Choice Theory, in particular Majority Judgment) and finally, Fallacies and Unfair Discussion Methods. Throughout the text, the author provides some impressions of the historical development of logic: Stoic and Aristotelian logic, logic in the Middle Ages and Frege's Begriffsschrift, together with the works of George Boole (1815-1864) and August De Morgan (1806-1871), the origin of modern logic. Since "if ..., then ..." can be considered to be the heart of logic, throughout this book much attention is paid to conditionals: material, strict and relevant implication, entailment, counterfactuals and conversational implicature are treated and many references for further reading are given. Each chapter is concluded with answers to the exercises. Philosophical and Mathematical Logic is a very recent book (2018), but with every aspect of a classic. What a wonderful book! Work written with all the necessary rigor, with immense depth, but without giving up clarity and good taste. Philosophy and mathematics go hand in hand with the most diverse themes of logic. An introductory text, but not only that. It goes much further. It's worth diving into the pages of this book, dear reader! Paulo Sérgio Argolo

Topics In Modern Logic

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Author : David Makinson
language : en
Publisher:
Release Date : 1973

Topics In Modern Logic written by David Makinson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Philosophy categories.

Modern Logic

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Author : Graeme Forbes
language : en
Publisher: Oxford University Press, USA
Release Date : 1994

Modern Logic written by Graeme Forbes and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Computers categories.

Modern Logic fills the strong need for a highly accessible, carefully structured introductory text in symbolic logic. The natural deduction system Forbes uses will be easy for students to understand, and the material is carefully structured, with graded exercises at the end of each section, selected answers to which are provided at the back of the book. The book's emphasis is on giving the student a thorough understanding of the concepts rather than just a facilitywith formal procedures.

Logic For Philosophy

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Author : Theodore Sider
language : en
Publisher: Oxford University Press
Release Date : 2010-01-07

Logic For Philosophy written by Theodore Sider and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-01-07 with Philosophy categories.

Logic for Philosophy is an introduction to logic for students of contemporary philosophy. It is suitable both for advanced undergraduates and for beginning graduate students in philosophy. It covers (i) basic approaches to logic, including proof theory and especially model theory, (ii) extensions of standard logic that are important in philosophy, and (iii) some elementary philosophy of logic. It emphasizes breadth rather than depth. For example, it discusses modal logic and counterfactuals, but does not prove the central metalogical results for predicate logic (completeness, undecidability, etc.) Its goal is to introduce students to the logic they need to know in order to read contemporary philosophical work. It is very user-friendly for students without an extensive background in mathematics. In short, this book gives you the understanding of logic that you need to do philosophy.

The Continuum Companion To Philosophical Logic

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Author : Leon Horsten
language : en
Publisher: A&C Black
Release Date : 2011-08-04

The Continuum Companion To Philosophical Logic written by Leon Horsten and has been published by A&C Black this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-04 with Philosophy categories.

A single volume reference guide to the latest work and potential future directions in Philosophical Logic, written by an international team of leading scholars.