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.

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

Get Book Here

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

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: 3110435047
Category : Philosophy
Languages : en
Pages : 198

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 Logics

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

Get Book Here

Book Description
Publisher Description

Philosophical Logic

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

Get Book Here

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.

Logic for Philosophy

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

Get Book Here

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.

The Historical and Philosophical Significance of Ayer’s Language, Truth and Logic

The Historical and Philosophical Significance of Ayer’s Language, Truth and Logic PDF Author: Adam Tamas Tuboly
Publisher: Palgrave Macmillan
ISBN: 9783030508869
Category : Philosophy
Languages : en
Pages : 370

Get Book Here

Book Description
This edited collection provides the first comprehensive volume on A. J. Ayer’s 1936 masterpiece, Language, Truth and Logic. With eleven original chapters the volume reconsiders the historical and philosophical significance of Ayer’s work, examining its place in the history of analytic philosophy and its subsequent legacy. Making use of pioneering research in logical empiricism, the contributors explore a wide variety of topics, from ethics, values and religion, to truth, epistemology and philosophy of language. Among the questions discussed are: How did Ayer preserve or distort the views and conceptions of logical empiricists? How are Ayer's arguments different from the ones he aimed at reconstructing? And which aspects of the book were responsible for its immense impact? The volume expertly places Language, Truth and Logic in the intellectual and socio-cultural history of twentieth-century philosophical thought, providing both introductory and contextual chapters, as well as specific explorations of a variety of topics covering the main themes of the book. Providing important insights of both historical and contemporary significance, this collection is an essential resource for scholars interested in the legacy of the Vienna Circle and its effect on ethics and philosophy of mind.

Logical Pluralism

Logical Pluralism PDF Author: JC Beall
Publisher: Oxford University Press
ISBN: 0199288402
Category : Philosophy
Languages : en
Pages : 152

Get Book Here

Book Description
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.

Language, Logic, and Mathematics in Schopenhauer

Language, Logic, and Mathematics in Schopenhauer PDF Author: Jens Lemanski
Publisher: Springer Nature
ISBN: 3030330907
Category : Mathematics
Languages : en
Pages : 318

Get Book Here

Book Description
The chapters in this timely volume aim to answer the growing interest in Arthur Schopenhauer’s logic, mathematics, and philosophy of language by comprehensively exploring his work on mathematical evidence, logic diagrams, and problems of semantics. Thus, this work addresses the lack of research on these subjects in the context of Schopenhauer’s oeuvre by exposing their links to modern research areas, such as the “proof without words” movement, analytic philosophy and diagrammatic reasoning, demonstrating its continued relevance to current discourse on logic. Beginning with Schopenhauer’s philosophy of language, the chapters examine the individual aspects of his semantics, semiotics, translation theory, language criticism, and communication theory. Additionally, Schopenhauer’s anticipation of modern contextualism is analyzed. The second section then addresses his logic, examining proof theory, metalogic, system of natural deduction, conversion theory, logical geometry, and the history of logic. Special focus is given to the role of the Euler diagrams used frequently in his lectures and their significance to broader context of his logic. In the final section, chapters discuss Schopenhauer’s philosophy of mathematics while synthesizing all topics from the previous sections, emphasizing the relationship between intuition and concept. Aimed at a variety of academics, including researchers of Schopenhauer, philosophers, historians, logicians, mathematicians, and linguists, this title serves as a unique and vital resource for those interested in expanding their knowledge of Schopenhauer’s work as it relates to modern mathematical and logical study.

Game of Thrones and Philosophy

Game of Thrones and Philosophy PDF Author: Henry Jacoby
Publisher: John Wiley & Sons
ISBN: 1118206053
Category : Philosophy
Languages : en
Pages : 320

Get Book Here

Book Description
An in-depth look at the philosophical issues behind HBO's Game of Thrones television series and the books that inspired it George R.R. Martin's New York Times bestselling epic fantasy book series, A Song of Ice and Fire, and the HBO television show adapted from it, have earned critical acclaim and inspired fanatic devotion. This book delves into the many philosophical questions that arise in this complex, character-driven series, including: Is it right for a "good" king to usurp the throne of a "bad" one and murder his family? How far should you go to protect your family and its secrets? In a fantasy universe with medieval mores and ethics, can female characters reflect modern feminist ideals? Timed for the premiere of the second season of the HBO Game of Thrones series Gives new perspectives on the characters, storylines, and themes of Game of Thrones Draws on great philosophers from ancient Greece to modern America to explore intriguing topics such as the strange creatures of Westeros, the incestuous relationship of Jaime and Cersei Lannister, and what the kings of Westeros can show us about virtue and honor (or the lack thereof) as they play their game of thrones Essential reading for fans, Game of Thrones and Philosophy will enrich your experience of your favorite medieval fantasy series.