The Rise of Modern Logic from Leibniz to Frege

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  • Author : Dov M. Gabbay
  • Publisher : Elsevier
  • Pages : 780 pages
  • ISBN : 008053287X
  • Rating : /5 from reviews
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Download or Read online The Rise of Modern Logic from Leibniz to Frege full in PDF, ePub and kindle. this book written by Dov M. Gabbay and published by Elsevier which was released on 08 March 2004 with total page 780 pages. We cannot guarantee that The Rise of Modern Logic from Leibniz to Frege book is available in the library, click Get Book button and read full online book in your kindle, tablet, IPAD, PC or mobile whenever and wherever You Like. With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

The Rise of Modern Logic from Leibniz to Frege

The Rise of Modern Logic  from Leibniz to Frege
  • Author : Dov M. Gabbay,John Woods
  • Publisher : Elsevier
  • Release : 08 March 2004
GET THIS BOOK The Rise of Modern Logic from Leibniz to Frege

With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be

Fuzzy TOPSIS

Fuzzy TOPSIS
  • Author : Mohamed El Alaoui
  • Publisher : CRC Press
  • Release : 27 May 2021
GET THIS BOOK Fuzzy TOPSIS

This book aims to justify the use of fuzzy logic as a logic and as an uncertainty theory in the decision-making context. It also discusses the development of the TOPSIS method (Technique for Order of Preference by Similarity to Ideal Solution) with related examples and MATLAB codes. This is the first book devoted to TOPSIS and its fuzzy versions. It presents the use of fuzzy logic as a logic and as an uncertainty theory in the decision-making content and discusses

Mistakes of Reason

Mistakes of Reason
  • Author : John Hayden Woods
  • Publisher : University of Toronto Press
  • Release : 01 January 2005
GET THIS BOOK Mistakes of Reason

Over a distinguished academic career, the Canadian philosopher and scholar John Woods has written on a rich variety of topics central to contemporary philosophy. These include the history and philosophy of logic, deviant logics, inductive and abductive reasoning, informal reasoning, fallacy theory, the logic of fiction, epistemology, and abortion and euthanasia. Not only has Woods' work been significant in itself, it has also stimulated others working in these fields. Mistakes of Reason is a tribute to Woods and contains twenty-six

Logic from Russell to Church

Logic from Russell to Church
  • Author : Dov M. Gabbay,John Woods
  • Publisher : Elsevier
  • Release : 16 June 2009
GET THIS BOOK Logic from Russell to Church

This volume is number five in the 11-volume Handbook of the History of Logic. It covers the first 50 years of the development of mathematical logic in the 20th century, and concentrates on the achievements of the great names of the period--Russell, Post, Gödel, Tarski, Church, and the like. This was the period in which mathematical logic gave mature expression to its four main parts: set theory, model theory, proof theory and recursion theory. Collectively, this work ranks as one

Mediaeval and Renaissance Logic

Mediaeval and Renaissance Logic
  • Author : Dov M. Gabbay,John Woods
  • Publisher : Elsevier
  • Release : 14 March 2008
GET THIS BOOK Mediaeval and Renaissance Logic

Starting at the very beginning with Aristotle's founding contributions, logic has been graced by several periods in which the subject has flourished, attaining standards of rigour and conceptual sophistication underpinning a large and deserved reputation as a leading expression of human intellectual effort. It is widely recognized that the period from the mid-19th century until the three-quarter mark of the century just past marked one of these golden ages, a period of explosive creativity and transforming insights. It has

Handbook of Logic and Language

Handbook of Logic and Language
  • Author : J. van Benthem,Johan van Benthem,Alice G. B. ter Meulen,A. ter Meulen
  • Publisher : Elsevier
  • Release : 04 December 1997
GET THIS BOOK Handbook of Logic and Language

This Handbook documents the main trends in current research between logic and language, including its broader influence in computer science, linguistic theory and cognitive science. The history of the combined study of Logic and Linguistics goes back a long way, at least to the work of the scholastic philosophers in the Middle Ages. At the beginning of this century, the subject was revitalized through the pioneering efforts of Gottlob Frege, Bertrand Russell, and Polish philosophical logicians such as Kazimierz Ajdukiewicz.

Revisiting Discovery and Justification

Revisiting Discovery and Justification
  • Author : Jutta Schickore,Friedrich Steinle
  • Publisher : Springer Science & Business Media
  • Release : 27 January 2006
GET THIS BOOK Revisiting Discovery and Justification

The distinction between the contexts of discovery and justification has had a turbulent career in philosophy of science. This book presents a debate about the nature, development, and significance of the context distinction, about its merits and flaws. It provides readings and analyses of the original textual sources for the context distinction.

Logic A History of its Central Concepts

Logic  A History of its Central Concepts
  • Author : Dov M. Gabbay,Francis Jeffry Pelletier,John Woods
  • Publisher : Newnes
  • Release : 31 December 2012
GET THIS BOOK Logic A History of its Central Concepts

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

A Critical Introduction to the Metaphysics of Modality

A Critical Introduction to the Metaphysics of Modality
  • Author : Andrea Borghini
  • Publisher : Bloomsbury Publishing
  • Release : 25 February 2016
GET THIS BOOK A Critical Introduction to the Metaphysics of Modality

A Critical Introduction to the Metaphysics of Modality examines the eight main contemporary theories of possibility behind a central metaphysical topic. Covering modal skepticism, modal expressivism, modalism, modal realism, ersatzism, modal fictionalism, modal agnosticism, and the new modal actualism, this comprehensive introduction to modality places contemporary debates in an historical context. Beginning with a historical overview, Andrea Borghini discusses Parmenides and Zeno; looks at how central Medieval authors such as Aquinas, and Buridan prepared the ground for the Early Modern

Symbolic Logic

Symbolic Logic
  • Author : David W. Agler
  • Publisher : Rowman & Littlefield
  • Release : 01 November 2012
GET THIS BOOK Symbolic Logic

Brimming with visual examples of concepts, derivation rules, and proof strategies, this introductory text is ideal for students with no previous experience in logic. Students will learn translation both from formal language into English and from English into formal language; how to use truth trees and truth tables to test propositions for logical properties; and how to construct and strategically use derivation rules in proofs.

The Bloomsbury Companion to Philosophical Logic

The Bloomsbury Companion to Philosophical Logic
  • Author : Leon Horsten,Richard Pettigrew
  • Publisher : Bloomsbury Publishing
  • Release : 25 September 2014
GET THIS BOOK The Bloomsbury Companion to Philosophical Logic

Logical methods are used in all area of philosophy. By introducing and advancing central to topics in the discipline, The Bloomsbury Companion to Philosophical Logic emphasizes the crucial role logic plays in understanding philosophical problems. Covering stages in the history of logic and of modern logic, this comprehensive Companion looks ahead to new areas of research and explores issues pertaining to classical logic and its rivals, semantics for parts of natural language, and the application of logic in the theory

Modern Logic 1850 1950 East and West

Modern Logic 1850 1950  East and West
  • Author : Francine F. Abeles,Mark E. Fuller
  • Publisher : Birkhäuser
  • Release : 26 May 2016
GET THIS BOOK Modern Logic 1850 1950 East and West

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 Many Valued and Nonmonotonic Turn in Logic

The Many Valued and Nonmonotonic Turn in Logic
  • Author : Dov M. Gabbay,John Woods
  • Publisher : Elsevier
  • Release : 13 August 2007
GET THIS BOOK The Many Valued and Nonmonotonic Turn in Logic

The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor

The Foundations of Computability Theory

The Foundations of Computability Theory
  • Author : Borut Robič
  • Publisher : Springer Nature
  • Release : 13 November 2020
GET THIS BOOK The Foundations of Computability Theory

This book offers an original and informative view of the development of fundamental concepts of computability theory. The treatment is put into historical context, emphasizing the motivation for ideas as well as their logical and formal development. In Part I the author introduces computability theory, with chapters on the foundational crisis of mathematics in the early twentieth century, and formalism. In Part II he explains classical computability theory, with chapters on the quest for formalization, the Turing Machine, and early

Logic in High Definition

Logic in High Definition
  • Author : Alessandro Giordani,Jacek Malinowski
  • Publisher : Springer Nature
  • Release : 19 November 2020
GET THIS BOOK Logic in High Definition

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