logic from russell to church

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Logic from Russell to Church
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Publisher : Elsevier
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ISBN 10 : 0080885470
Pages : 1068 pages
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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

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

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Handbook of the History of Logic

Download or read online Handbook of the History of Logic written by Dov M. Gabbay,John Woods, published by Unknown which was released on 2009. Get Handbook of the History of Logic Books now! Available in PDF, ePub and Kindle.

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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

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

Download or read online Proof in Alonzo Church s and Alan Turing s Mathematical Logic Undecidability of First Order Logic written by Anonim, published by Universal-Publishers which was released on 2021-10-20. Get Proof in Alonzo Church s and Alan Turing s Mathematical Logic Undecidability of First Order Logic Books

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Lambda Calculus with Types

This handbook with exercises reveals the mathematical beauty of formalisms hitherto mostly used for software and hardware design and verification.

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Principia Mathematica to  56

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.

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Reflections on Programming Systems

This book presents a historical and philosophical analysis of programming systems, intended as large computational systems like, for instance, operating systems, programmed to control processes. The introduction to the volume emphasizes the contemporary need of providing a foundational analysis of such systems, rooted in a broader historical and philosophical discussion.

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Foundations of Software Science and Computation Structures

This book constitutes the proceedings of the 16th International Conference on Foundations of Software Science and Computational Structures, FOSSACS 2013, held as part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2013, which took place in Rome, Italy, in March 2013 The 28 papers presented in this volume were carefully

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Higher Order Computability

This book offers a self-contained exposition of the theory of computability in a higher-order context, where 'computable operations' may themselves be passed as arguments to other computable operations. The subject originated in the 1950s with the work of Kleene, Kreisel and others, and has since expanded in many different directions

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Logic s Lost Genius

Gerhard Gentzen (1909-1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called ''proof theory'' but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction,

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The Cambridge Companion to Bertrand Russell

Mathematics in and behind Russell's logicism, and its reception / I. Grattan-Guinness -- Russell's philosophical background / Nicholas Griffin -- Russell and Moore, 1898-1905 / Richard L. Cartwright -- Russell and Frege / Michael Beaney -- Bertrand Russell's logicism / Martin Godwyn and Andrew D. Irvine -- The theory of descriptions / Peter Hylton -- Russell's

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The Elements of Mathematical Logic

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.

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A Companion to Wittgenstein

The most comprehensive survey of Wittgenstein’s thought yet compiled, this volume of fifty newly commissioned essays by leading interpreters of his philosophy is a keynote addition to the Blackwell series on the world’s great philosophers, covering everything from Wittgenstein’s intellectual development to the latest interpretations of his

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Russell Vs  Meinong

A century after ‘On Denoting’ was published, the debate it initiated continues to rage. On the one hand, there is a mass of new historical scholarship, about both Russell and Meinong, which has not circulated very far beyond specialist scholars. On the other hand, there are continuing problems and controversies

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Themes from Kaplan

Containing sixteen essays by such distinguished contributors as Robert M. Adams, Nathan Salmon, and Scott Soames, this book discusses and expands upon the work of David Kaplan and provides essential new perspectives on the philosophy of language. It includes Kaplan's hitherto unpublished paper, "Demonstratives."

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