Exploring Topics in the History and Philosophy of Logic

Exploring Topics in the History and Philosophy of Logic PDF Author: George Englebretsen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110433818
Category : Philosophy
Languages : en
Pages : 273

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Book Description
While post-Fregean logicians tend to ignore or even denigrate the traditional logic of Aristotle and the Scholastics, new work in recent years has shown the viability of a renewed, extended, and strengthened logic of terms that shares fundamental features of the old syllogistic. A number of logicians, following the lead of Fred Sommers, have built just such a term logic. It is a system of formal logic that not only matches the expressive and inferential powers of today’s standard logic, but surpasses it and is far simpler and more natural. This book aims to substantiate this claim by exhibiting just how the term logic can shed need light on a variety of challenges that face any system of formal logic.

Exploring Topics in the History and Philosophy of Logic

Exploring Topics in the History and Philosophy of Logic PDF Author: George Englebretsen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110433818
Category : Philosophy
Languages : en
Pages : 273

Get Book Here

Book Description
While post-Fregean logicians tend to ignore or even denigrate the traditional logic of Aristotle and the Scholastics, new work in recent years has shown the viability of a renewed, extended, and strengthened logic of terms that shares fundamental features of the old syllogistic. A number of logicians, following the lead of Fred Sommers, have built just such a term logic. It is a system of formal logic that not only matches the expressive and inferential powers of today’s standard logic, but surpasses it and is far simpler and more natural. This book aims to substantiate this claim by exhibiting just how the term logic can shed need light on a variety of challenges that face any system of formal logic.

Philosophy of Logic

Philosophy of Logic PDF Author:
Publisher: Elsevier
ISBN: 008046663X
Category : Mathematics
Languages : en
Pages : 1219

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Book Description
The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert's program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights.- Written by leading logicians and philosophers- Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic- Clear, in-depth expositions of technical detail- Progressive organization from general considerations to informal to symbolic logic to nonclassical logics- Presents current work in symbolic logic within a unified framework- Accessible to students, engaging for experts and professionals- Insightful philosophical discussions of all aspects of logic- Useful bibliographies in every chapter

Philosophical Logic

Philosophical Logic PDF Author: George Englebretsen
Publisher: A&C Black
ISBN: 1441119116
Category : Philosophy
Languages : en
Pages : 209

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

The Logic of the History of Ideas

The Logic of the History of Ideas PDF Author: Mark Bevir
Publisher: Cambridge University Press
ISBN: 9780521016841
Category : History
Languages : en
Pages : 356

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Book Description
Human cultures generate meanings, and the history of ideas, broadly conceived, is the study of these meanings. An adequate theory of culture must therefore rest on a suitable philosophical enquiry into the nature of the history of ideas. Mark Bevir's book explores the forms of reasoning appropriate to the history of ideas, enhancing our understanding by grappling with central questions such as: What is a meaning? What constitutes objective knowledge of the past? What are beliefs and traditions? How can we explain why people held the beliefs they did? The book ranges widely over issues and theorists associated with post-analytic philosophy, post-modernism, hermeneutics, literary theory, political thought, and social theory.

The History of Philosophical and Formal Logic

The History of Philosophical and Formal Logic PDF Author: Alex Malpass
Publisher: Bloomsbury Publishing
ISBN: 1472507177
Category : Philosophy
Languages : en
Pages : 333

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Book Description
The History of Philosophical and Formal Logic introduces ideas and thinkers central to the development of philosophical and formal logic. From its Aristotelian origins to the present-day arguments, logic is broken down into four main time periods: Antiquity and the Middle Ages (Aristotle and The Stoics) The early modern period (Bolzano, Boole) High modern period (Frege, Peano & Russell and Hilbert) Early 20th century (Godel and Tarski) Each new time frame begins with an introductory overview highlighting themes and points of importance. Chapters discuss the significance and reception of influential works and look at historical arguments in the context of contemporary debates. To support independent study, comprehensive lists of primary and secondary reading are included at the end of chapters, along with exercises and discussion questions. By clearly presenting and explaining the changes to logic across the history of philosophy, The History of Philosophical and Formal Logic constructs an easy-to-follow narrative. This is an ideal starting point for students looking to understand the historical development of logic.

Logic for Philosophy

Logic for Philosophy PDF Author: Theodore Sider
Publisher: Oxford University Press
ISBN: 0192658816
Category : Philosophy
Languages : en
Pages : 305

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Book Description
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.

Dialectic after Plato and Aristotle

Dialectic after Plato and Aristotle PDF Author: Thomas Bénatouïl
Publisher: Cambridge University Press
ISBN: 1108676251
Category : Philosophy
Languages : en
Pages : 405

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Book Description
Ancient dialectic started as an art of refutation and evolved into a science akin to our logic, grammar and linguistics. Scholars of ancient philosophy have traditionally focused on Plato's and Aristotle's dialectic without paying much attention to the diverse conceptions and uses of dialectic presented by philosophers after the classical period. To bridge this gap, this volume aims at a comprehensive understanding of the competing Hellenistic and Imperial definitions of dialectic and their connections with those of the classical period. It starts from the Megaric school of the fourth century BCE and the early Peripatetics, via Epicurus, the Stoics, the Academic sceptics and Cicero, to Sextus Empiricus and Galen in the second century CE. The philosophical foundations and various uses of dialectic are closely analysed and systematically examined together with the numerous objections that were raised against them.

Thinking about Logic

Thinking about Logic PDF Author: Stephen Read
Publisher: Oxford University Press on Demand
ISBN: 9780192892386
Category : History
Languages : en
Pages : 262

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Book Description
In this book, Stephen Read sets out to rescue logic from its undeserved reputation as an inflexible, dogmatic discipline by demonstrating that its technicalities and processes are founded on assumptions which are themselves amenable to philosophical investigation. He examines the fundamental principles of consequence, logical truth and correct inference within the context of logic, and shows that the principles by which we delineate consequences are themselves not guaranteed free from error. Central to the notion of truth is the beguiling issue of paradox. Its philosophical value, Read shows, lies in exposing the invalid assumption on which the paradox is built. Thinking About Logic also discusses logical puzzles which introduce questions relating to language, the world, and their relationship.

Philosophy of Logics

Philosophy of Logics PDF Author: Susan Haack
Publisher: Cambridge University Press
ISBN: 9780521293297
Category : Philosophy
Languages : en
Pages : 300

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Book Description
Publisher Description

Figuring It Out

Figuring It Out PDF Author: George Englebretsen
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110624451
Category : Philosophy
Languages : en
Pages : 234

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Book Description
Many systems of logic diagrams have been offered both historically and more recently. Each of them has clear limitations. An original alternative system is offered here. It is simpler, more natural, and more expressively and inferentially powerful. It can be used to analyze not only syllogisms but arguments involving relational terms and unanalyzed statement terms.