Logic from Russell to Church

Logic from Russell to Church
Author: Dov M. Gabbay,John Woods
Publsiher: Elsevier
Total Pages: 1068
Release: 2009-06-16
ISBN 10: 0080885470
ISBN 13: 9780080885476
Language: EN, FR, DE, ES & NL

Logic from Russell to Church Book Review:

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 of the greatest achievements of our intellectual history. Written by leading researchers in the field, both this volume and the Handbook as a whole are definitive reference tools for senior undergraduates, graduate students and researchers in the history of logic, the history of philosophy, and any discipline, such as mathematics, computer science, and artificial intelligence, for whom the historical background of his or her work is a salient consideration. • The entire range of modal logic is covered • Serves as a singular contribution to the intellectual history of the 20th century • Contains the latest scholarly discoveries and interpretative insights

Introduction to Mathematical Logic

Introduction to Mathematical Logic
Author: Alonzo Church
Publsiher: Anonim
Total Pages: 329
Release: 1965
ISBN 10:
ISBN 13: STANFORD:36105002061500
Language: EN, FR, DE, ES & NL

Introduction to Mathematical Logic Book Review:

The Rise of Modern Logic from Leibniz to Frege

The Rise of Modern Logic  from Leibniz to Frege
Author: Dov M. Gabbay,John Woods
Publsiher: Elsevier
Total Pages: 780
Release: 2004-03-08
ISBN 10: 9780080532875
ISBN 13: 008053287X
Language: EN, FR, DE, ES & NL

The Rise of Modern Logic from Leibniz to Frege Book Review:

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.

Frege and the Logic of Sense and Reference

Frege and the Logic of Sense and Reference
Author: Kevin C. Klement
Publsiher: Routledge
Total Pages: 272
Release: 2017-09-25
ISBN 10: 1136710922
ISBN 13: 9781136710926
Language: EN, FR, DE, ES & NL

Frege and the Logic of Sense and Reference Book Review:

First published in 2002. Routledge is an imprint of Taylor & Francis, an informa company.

Proof in Alonzo Church s and Alan Turing s Mathematical Logic Undecidability of First Order Logic

Proof in Alonzo Church s and Alan Turing s Mathematical Logic  Undecidability of First Order Logic
Author: Anonim
Publsiher: Universal-Publishers
Total Pages: 329
Release:
ISBN 10: 1612339514
ISBN 13: 9781612339511
Language: EN, FR, DE, ES & NL

Proof in Alonzo Church s and Alan Turing s Mathematical Logic Undecidability of First Order Logic Book Review:

Principia Mathematica to 56

Principia Mathematica to  56
Author: Alfred North Whitehead,Bertrand Russell
Publsiher: Cambridge University Press
Total Pages: 410
Release: 1997-09-11
ISBN 10: 0521626064
ISBN 13: 9780521626064
Language: EN, FR, DE, ES & NL

Principia Mathematica to 56 Book Review:

This abridged text of the most famous work ever written on the foundations of mathematics contains material that is most relevant to an introductory study of logic and the philosophy of mathematics.

Russell s Logical Atomism

Russell s Logical Atomism
Author: David Bostock
Publsiher: Oxford University Press
Total Pages: 302
Release: 2012-04-19
ISBN 10: 0199651442
ISBN 13: 9780199651443
Language: EN, FR, DE, ES & NL

Russell s Logical Atomism Book Review:

David Bostock presents a detailed account and critical appraisal of the development of Bertrand Russell's philosophy from 1900 to 1924. He explores Russell's logical atomism, which applies logic to problems in the theory of knowledge and metaphysics and was central to Russell's work over this period.

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
ISBN 10: 0080931707
ISBN 13: 9780080931708
Language: EN, FR, DE, ES & NL

Logic A History of its Central Concepts Book Review:

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

The Search for Mathematical Roots 1870 1940

The Search for Mathematical Roots  1870 1940
Author: I. Grattan-Guinness
Publsiher: Princeton University Press
Total Pages: 624
Release: 2011-02-11
ISBN 10: 9781400824045
ISBN 13: 1400824044
Language: EN, FR, DE, ES & NL

The Search for Mathematical Roots 1870 1940 Book Review:

While many books have been written about Bertrand Russell's philosophy and some on his logic, I. Grattan-Guinness has written the first comprehensive history of the mathematical background, content, and impact of the mathematical logic and philosophy of mathematics that Russell developed with A. N. Whitehead in their Principia mathematica (1910-1913). ? This definitive history of a critical period in mathematics includes detailed accounts of the two principal influences upon Russell around 1900: the set theory of Cantor and the mathematical logic of Peano and his followers. Substantial surveys are provided of many related topics and figures of the late nineteenth century: the foundations of mathematical analysis under Weierstrass; the creation of algebraic logic by De Morgan, Boole, Peirce, Schröder, and Jevons; the contributions of Dedekind and Frege; the phenomenology of Husserl; and the proof theory of Hilbert. The many-sided story of the reception is recorded up to 1940, including the rise of logic in Poland and the impact on Vienna Circle philosophers Carnap and Gödel. A strong American theme runs though the story, beginning with the mathematician E. H. Moore and the philosopher Josiah Royce, and stretching through the emergence of Church and Quine, and the 1930s immigration of Carnap and GödeI. Grattan-Guinness draws on around fifty manuscript collections, including the Russell Archives, as well as many original reviews. The bibliography comprises around 1,900 items, bringing to light a wealth of primary materials. Written for mathematicians, logicians, historians, and philosophers--especially those interested in the historical interaction between these disciplines--this authoritative account tells an important story from its most neglected point of view. Whitehead and Russell hoped to show that (much of) mathematics was expressible within their logic; they failed in various ways, but no definitive alternative position emerged then or since.

Logic Meaning and Computation

Logic  Meaning and Computation
Author: Alonzo Church
Publsiher: Springer Science & Business Media
Total Pages: 627
Release: 2001
ISBN 10: 9781402001413
ISBN 13: 140200141X
Language: EN, FR, DE, ES & NL

Logic Meaning and Computation Book Review:

This volume began as a remembrance of Alonzo Church while he was still with us and is now finally complete. It contains papers by many well-known scholars, most of whom have been directly influenced by Church's own work. Often the emphasis is on foundational issues in logic, mathematics, computation, and philosophy - as was the case with Church's contributions, now universally recognized as having been of profound fundamental significance in those areas. The volume will be of interest to logicians, computer scientists, philosophers, and linguists. The contributions concern classical first-order logic, higher-order logic, non-classical theories of implication, set theories with universal sets, the logical and semantical paradoxes, the lambda-calculus, especially as it is used in computation, philosophical issues about meaning and ontology in the abstract sciences and in natural language, and much else. The material will be accessible to specialists in these areas and to advanced graduate students in the respective fields.

Gladstone and the Logic of Victorian Politics

Gladstone and the Logic of Victorian Politics
Author: Ian St John
Publsiher: Anthem Press
Total Pages: 464
Release: 2010-11-01
ISBN 10: 9781843313946
ISBN 13: 1843313944
Language: EN, FR, DE, ES & NL

Gladstone and the Logic of Victorian Politics Book Review:

This book provides a thorough analysis of the political career of William Gladstone, one of the most intriguing figures in modern British history. ‘Gladstone and the Logic of Victorian Politics’ captures the incredible richness of Gladstone’s political journey, tracing his evolution from Tory defender of a theocratic Anglican state to great reforming Liberal Prime Minister, always prepared to champion the ‘masses against the classes’. Each stage in Gladstone’s development is assessed in the light of recent historiographical debates and his own fascinating explanations of his conduct.

Handbook of the History of Logic

Handbook of the History of Logic
Author: Dov M. Gabbay,John Woods
Publsiher: Anonim
Total Pages: 329
Release: 2004
ISBN 10:
ISBN 13: UOM:39015070698983
Language: EN, FR, DE, ES & NL

Handbook of the History of Logic Book Review:

The Elements of Mathematical Logic

The Elements of Mathematical Logic
Author: Paul C. Rosenbloom
Publsiher: Courier Dover Publications
Total Pages: 214
Release: 2005
ISBN 10: 9780486446172
ISBN 13: 0486446174
Language: EN, FR, DE, ES & NL

The Elements of Mathematical Logic Book Review:

This introduction to mathematical logic stresses the use of logical methods in attacking nontrivial problems. It covers the logic of classes, of propositions, of propositional functions, and the general syntax of language, with a brief introduction to so-called undecidability and incompleteness theorems; and much more. 1950 edition.

One Hundred Years of Russell s Paradox

One Hundred Years of Russell   s Paradox
Author: Godehard Link
Publsiher: Walter de Gruyter
Total Pages: 671
Release: 2004-01-01
ISBN 10: 3110199688
ISBN 13: 9783110199680
Language: EN, FR, DE, ES & NL

One Hundred Years of Russell s Paradox Book Review:

Die in diesem Band zusammengefassten Beiträge stellen die wesentlichen Forschungsergebnisse der internationalen Münchner Konferenz "100 Jahre Russell-Paradoxon" im Jahr 2001 dar, auf der an die Entdeckung des berühmten Russell Paradoxons vor 100 Jahren erinnert wurde. Die 31 Beiträge und der Einführungsessay des Herausgebers wurden alle - bis auf zwei Ausnahmen - ursprünglich für diesen Band verfasst.

Importance and Legacy

Importance and Legacy
Author: Matthias Schirn
Publsiher: Walter de Gruyter
Total Pages: 470
Release: 1996-01-01
ISBN 10: 3110813041
ISBN 13: 9783110813043
Language: EN, FR, DE, ES & NL

Importance and Legacy Book Review:

A Review of the Rev J E Bennett s Letter to Lord John Russell

A Review of the Rev  J  E  Bennett s Letter to Lord John Russell
Author: William THORPE (D.D.)
Publsiher: Anonim
Total Pages: 32
Release: 1850
ISBN 10:
ISBN 13: BL:A0022870528
Language: EN, FR, DE, ES & NL

A Review of the Rev J E Bennett s Letter to Lord John Russell Book Review:

An Introduction to Mathematical Logic

An Introduction to Mathematical Logic
Author: Richard E. Hodel
Publsiher: Courier Corporation
Total Pages: 491
Release: 2013
ISBN 10: 0486497852
ISBN 13: 9780486497853
Language: EN, FR, DE, ES & NL

An Introduction to Mathematical Logic Book Review:

This comprehensive overview ofmathematical logic is designedprimarily for advanced undergraduatesand graduate studentsof mathematics. The treatmentalso contains much of interest toadvanced students in computerscience and philosophy. Topics include propositional logic;first-order languages and logic; incompleteness, undecidability,and indefinability; recursive functions; computability;and Hilbert’s Tenth Problem.Reprint of the PWS Publishing Company, Boston, 1995edition.

Continuity and Change in the Development of Russell s Philosophy

Continuity and Change in the Development of Russell   s Philosophy
Author: P.J. Hager
Publsiher: Springer Science & Business Media
Total Pages: 200
Release: 2012-12-06
ISBN 10: 9401108447
ISBN 13: 9789401108447
Language: EN, FR, DE, ES & NL

Continuity and Change in the Development of Russell s Philosophy Book Review:

The general view of Russell's work amongst philosophers has been that repeat edly, during his long and distinguished career, crucial changes of mind on fun damental points were significant enough to cause him to successively adopt a diversity of radically new philosophical positions. Thus Russell is seen to have embraced and then abandoned, amongst others, neo-Hegelianism, Platonic re alism, phenomenalism and logical atomism, before settling finally on a form of neutral monism that philosophers have generally found to be incredible. This view of Russell is captured in C. D. Broad's famous remark that "Mr. Russell pro duces a different system of philosophy every few years . . . " (Muirhead, 1924: 79). Reflecting this picture of Russell continually changing his position, books and papers on Russell's philosophy have typically belonged to one of two kinds. Either they have concentrated on particular periods of his thought that are taken to be especially significant, or, accepting the view of his successive conversion to dis tinctly different philosophical positions, they have provided some account of each of these supposedly disconnected periods of his thought. While much good work has been done on Russell's philosophy, this framework has had its limitations, the main one being that it conceals the basic continuity behind his thought.

Studies in Medieval Philosophy Science and Logic

Studies in Medieval Philosophy  Science  and Logic
Author: Ernest Addison Moody
Publsiher: Univ of California Press
Total Pages: 453
Release: 1975
ISBN 10: 9780520026681
ISBN 13: 0520026683
Language: EN, FR, DE, ES & NL

Studies in Medieval Philosophy Science and Logic Book Review:

Ontology and the Logistic Analysis of Language

Ontology and the Logistic Analysis of Language
Author: Guido Küng
Publsiher: Springer Science & Business Media
Total Pages: 211
Release: 2012-12-06
ISBN 10: 9401035148
ISBN 13: 9789401035149
Language: EN, FR, DE, ES & NL

Ontology and the Logistic Analysis of Language Book Review:

It is the aim of the present study to introduce the reader to the ways of thinking of those contemporary philosophers who apply the tools of symbolic logic to classical philosophical problems. Unlike the "conti nental" reader for whom this work was originally written, the English speaking reader will be more familiar with most of the philosophers dis cussed in this book, and he will in general not be tempted to dismiss them indiscriminately as "positivists" and "nominalists". But the English version of this study may help to redress the balance in another respect. In view of the present emphasis on ordinary language and the wide spread tendency to leave the mathematical logicians alone with their technicalities, it seems not without merit to revive the interest in formal ontology and the construction of formal systems. A closer look at the historical account which will be given here, may convince the reader that there are several points in the historical develop ment whose consequences have not yet been fully assessed: I mention, e. g. , the shift from the traditional three-level semantics of sense and deno tation to the contemporary two-level semantics of representation; the relation of extensional structure and intensional content in the extensional systems of Wittgenstein and Carnap; the confusing changes in labelling the different kinds of analytic and apriori true sentences; etc. Among the philosophically interesting tools of symbolic logic Lesniewski's calculus of names deserves special attention.