Handbook of the History of Logic Logic A History of its Central Concepts

Handbook of the History of Logic  Logic  A History of its Central Concepts
Author: Dov M. Gabbay,Francis Jeffry Pelletier,John Hayden Woods
Publsiher: North-Holland
Total Pages: 708
Release: 2004
Genre: Mathematics
ISBN: 0444529373

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The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

Logic A History of its Central Concepts

Logic  A History of its Central Concepts
Author: Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
Publsiher: Newnes
Total Pages: 708
Release: 2012-12-31
Genre: Mathematics
ISBN: 9780080931708

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The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

Handbook of the History of Logic Logic a history of its central concepts

Handbook of the History of Logic  Logic  a history of its central concepts
Author: Dov M. Gabbay,John Hayden Woods
Publsiher: Unknown
Total Pages: 135
Release: 2004
Genre: Logic
ISBN: LCCN:2004040424

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Philosophy s Loss of Logic to Mathematics

Philosophy s Loss of Logic to Mathematics
Author: Woosuk Park
Publsiher: Springer
Total Pages: 230
Release: 2018-07-12
Genre: Philosophy
ISBN: 9783319951478

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This book offers a historical explanation of important philosophical problems in logic and mathematics, which have been neglected by the official history of modern logic. It offers extensive information on Gottlob Frege’s logic, discussing which aspects of his logic can be considered truly innovative in its revolution against the Aristotelian logic. It presents the work of Hilbert and his associates and followers with the aim of understanding the revolutionary change in the axiomatic method. Moreover, it offers useful tools to understand Tarski’s and Gödel’s work, explaining why the problems they discussed are still unsolved. Finally, the book reports on some of the most influential positions in contemporary philosophy of mathematics, i.e., Maddy’s mathematical naturalism and Shapiro’s mathematical structuralism. Last but not least, the book introduces Biancani’s Aristotelian philosophy of mathematics as this is considered important to understand current philosophical issue in the applications of mathematics. One of the main purposes of the book is to stimulate readers to reconsider the Aristotelian position, which disappeared almost completely from the scene in logic and mathematics in the early twentieth century.

Exploring Topics in the History and Philosophy of Logic

Exploring Topics in the History and Philosophy of Logic
Author: George Englebretsen
Publsiher: Walter de Gruyter GmbH & Co KG
Total Pages: 196
Release: 2015-09-14
Genre: Philosophy
ISBN: 9783110433814

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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.

Language Logic and Mathematics in Schopenhauer

Language  Logic  and Mathematics in Schopenhauer
Author: Jens Lemanski
Publsiher: Springer Nature
Total Pages: 326
Release: 2020-06-08
Genre: Mathematics
ISBN: 9783030330903

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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.

Introduction to Logic and Logical Discourse

Introduction to Logic and Logical Discourse
Author: Satya Sundar Sethy
Publsiher: Springer Nature
Total Pages: 285
Release: 2021-06-12
Genre: Philosophy
ISBN: 9789811626890

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This book focuses on logic and logical language. It examines different types of words, terms and propositions in detail. While discussing the nature of propositions, it illustrates the procedures used to determine the truth and falsity of a proposition, and the validity and invalidity of an argument. In addition, the book provides a clear exposition of the pure and mixed form of syllogism with suitable examples. The book encompasses sentential logic, predicate logic, symbolic logic, induction and set theory topics. The book is designed to serve all those involved in teaching and learning courses on logic. It offers a valuable resource for students and researchers in philosophy, mathematics and computer science disciplines. Given its scope, it is an essential read for everyone interested in logic, language, formulation of the hypotheses for the scientific enquiries and research studies, and judging valid and invalid arguments in the natural language discourse.

Logic and Metalogic

Logic and Metalogic
Author: Anonim
Publsiher: PediaPress
Total Pages: 135
Release: 2022
Genre: Electronic Book
ISBN: 9182736450XXX

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Supplements

Supplements
Author: Martin Heidegger
Publsiher: SUNY Press
Total Pages: 206
Release: 2002-09-26
Genre: Philosophy
ISBN: 0791455068

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A comprehensive anthology of Heidegger's early essays.

Modern Logic 1850 1950 East and West

Modern Logic 1850 1950  East and West
Author: Francine F. Abeles,Mark E. Fuller
Publsiher: Birkhäuser
Total Pages: 258
Release: 2016-05-26
Genre: Mathematics
ISBN: 9783319247564

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This book presents diverse topics in mathematical logic such as proof theory, meta-mathematics, and applications of logic to mathematical structures. The collection spans the first 100 years of modern logic and is dedicated to the memory of Irving Anellis, founder of the journal 'Modern Logic', whose academic work was essential in promoting the algebraic tradition of logic, as represented by Charles Sanders Peirce. Anellis’s association with the Russian logic community introduced their school of logic to a wider audience in the USA, Canada and Western Europe. In addition, the collection takes a historical perspective on proof theory and the development of logic and mathematics in Eastern Logic, the Soviet Union and Russia. The book will be of interest to historians and philosophers in logic and mathematics, and the more specialized papers will also appeal to mathematicians and logicians.

The Logic of the History of Ideas

The Logic of the History of Ideas
Author: Mark Bevir
Publsiher: Cambridge University Press
Total Pages: 337
Release: 2002-06-20
Genre: History
ISBN: 0521016843

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This book provides a philosophical analysis of the reasoning appropriate to the history of ideas. It addresses three main questions: what sort of meanings do historians study? How can historians justify claims to have objective knowledge of such meanings? What sorts of explanations are appropriate to such meanings? By answering these questions Mark Bevir seeks to clarify the nature of the history of ideas so as to guide historians in their practice, and to illuminate the process by which human thought develops.

Logic in High Definition

Logic in High Definition
Author: Alessandro Giordani,Jacek Malinowski
Publsiher: Springer Nature
Total Pages: 243
Release: 2020-11-19
Genre: Philosophy
ISBN: 9783030534875

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This volume clusters together issues centered upon the variety of types of intensional semantics. Consisting of 10 contributions, the volume is based on papers presented at the Trends in Logic 2019 conference. The various chapters introduce readers to the topic, or apply new types of logical semantics to elucidate subtleties of logical systems and natural language semantics. The book introduces hyperintentional systems that aim at solving some open philosophical problems. Specifically, the first three studies focus on relating semantics, while the following ones discuss fundamental issues related to hyper-intensional semantics or develop hyper-intensional frameworks to address issues in modal, epistemic, deontic and action logic. Authors in this volume present original results on logical systems but also extend beyond this by offering philosophical considerations on the topic as well. This volume will appeal to students and researchers in the field of logic.

Logic Key Concepts in Philosophy

Logic  Key Concepts in Philosophy
Author: Laurence Goldstein,Andrew Brennan,Max Deutsch,Joe Y.F. Lau
Publsiher: Continuum
Total Pages: 200
Release: 2005-11-22
Genre: Philosophy
ISBN: UOM:39015062871085

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Key Concepts in Philosophy is a series of concise, accessible and engaging introductions to the core ideas and subjects encountered in the study of philosophy. Specially written to meet the needs of students and those with an interest in, but little prior knowledge of, philosophy, the books open up fascinating, yet sometimes difficult ideas. The series builds to give a solid grounding in philosophy and each book is also ideal as a companion to further study. An understanding of logic is fundamental to the study of philosophy. This stimulating and thorough guidebook offers clear explanation and exploration of the central issues and questions addressed when studying logic. The topics covered include: Reason and unreason; Proving a point; Entailment; Truth; The logic of components of speech and language. An invaluable resource for those studying logic for the first time, this text provides a sound grasp of a fascinating, but often complex - and even daunting - component of philosophy.

Negation and Nonveridicality in the History of Greek

Negation and Nonveridicality in the History of Greek
Author: Katerina Chatzopoulou
Publsiher: Oxford University Press
Total Pages: 272
Release: 2018-11-01
Genre: Language Arts & Disciplines
ISBN: 9780191021183

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This book provides a thorough investigation of the expression of sentential negation in the history of Greek. It draws on both quantitative data from texts dating from three major stages of vernacular Greek (Attic Greek, Koine, and Late Medieval Greek), and qualitative data from all stages of the language, from Homeric Greek to Standard Modern Greek. Katerina Chatzopoulou accounts for the contrast between the two complementary negators found in Greek, referred to as a NEG1 and NEG2, in terms of the latter's sensitivity to nonveridicality, and explains the asymmetry observed in the diachronic development of the Greek negator system. The volume also sets out a new interpretation of Jespersen's cycle, which abstracts away from the morphosyntactic and phonological properties of the phenomenon and proposes instead that it is best understood in semantic terms. This approach not only explains the patterns observed in Greek, but also those found in other languages that deviate from the traditional description of Jespersen's cycle.

The Rise of Modern Logic from Leibniz to Frege

The Rise of Modern Logic  from Leibniz to Frege
Author: Professor of Computing Science Department of Computing Dov M Gabbay,Dov M. Gabbay,John Woods
Publsiher: North Holland
Total Pages: 780
Release: 2004-03-22
Genre: Mathematics
ISBN: STANFORD:36105119461361

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In designing the Handbook of the History of Logic, the Editors have taken the view that the history of logic holds more than an antiquarian interest, and that a knowledge of logic's rich and sophisticated development is, in various respects, relevant to the research programmes of the present day. Ancient logic is no exception. The present volume attests to the distant origins of some of modern logic's most important features, such as can be found in the claim by the authors of the chapter on Aristotle's early logic that, from its infancy, the theory of the syllogism is an example of an intuitionistic, non-monotonic, relevantly paraconsistent logic. Similarly, in addition to its comparative earliness, what is striking about the best of the Megarian and Stoic traditions is their sophistication and originality.