Foundations Of Mathematics And Other Logical Essays
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The Foundations Of Mathematics And Other Logical Essays
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Author : Frank Plumpton Ramsey
language : en
Publisher: Psychology Press
Release Date : 2000
The Foundations Of Mathematics And Other Logical Essays written by Frank Plumpton Ramsey and has been published by Psychology Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
First Published in 2000. Routledge is an imprint of Taylor & Francis, an informa company.
Foundations Of Mathematics And Other Logical Essays
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Author : Frank Plumpton Ramsey
language : en
Publisher: Routledge
Release Date : 2013-10-15
Foundations Of Mathematics And Other Logical Essays written by Frank Plumpton Ramsey and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-15 with Philosophy categories.
This is Volume V in a series of eight on the Philosophy of Logic and Mathematics. Originally published in 1931, this study offers a collection of logical essays around the topic of the foundations of mathematics. Though mathematical teaching was Ramsey's profession, philosophy was his vocation. Reared on the logic of Principia Mathematica, he was early to see the importance of Dr. Wittgenstein's work (in the translation of which he assisted); and his own published papers were largely based on this. But the previously unprinted essays and notes collected in this volume show him moving towards a kind of pragmatism, and the general treatise on logic upon which at various times he had been engaged was to have treated truth and knowledge as purely natural phenomena to be explained psychologically without recourse to distinctively logical relations.
The Foundations Of Mathematics And Other Logical Essays
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Author : Frank Plumpton Ramsey
language : en
Publisher:
Release Date : 1950
The Foundations Of Mathematics And Other Logical Essays written by Frank Plumpton Ramsey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1950 with Logic, Symbolic and mathematical categories.
The Logical Foundations Of Mathematics
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Author : William S. Hatcher
language : en
Publisher: Elsevier
Release Date : 2014-05-09
The Logical Foundations Of Mathematics written by William S. Hatcher and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
The Logical Foundations of Mathematics offers a study of the foundations of mathematics, stressing comparisons between and critical analyses of the major non-constructive foundational systems. The position of constructivism within the spectrum of foundational philosophies is discussed, along with the exact relationship between topos theory and set theory. Comprised of eight chapters, this book begins with an introduction to first-order logic. In particular, two complete systems of axioms and rules for the first-order predicate calculus are given, one for efficiency in proving metatheorems, and the other, in a "natural deduction" style, for presenting detailed formal proofs. A somewhat novel feature of this framework is a full semantic and syntactic treatment of variable-binding term operators as primitive symbols of logic. Subsequent chapters focus on the origin of modern foundational studies; Gottlob Frege's formal system intended to serve as a foundation for mathematics and its paradoxes; the theory of types; and the Zermelo-Fraenkel set theory. David Hilbert's program and Kurt Gödel's incompleteness theorems are also examined, along with the foundational systems of W. V. Quine and the relevance of categorical algebra for foundations. This monograph will be of interest to students, teachers, practitioners, and researchers in mathematics.
Foundations Of Mathematical Logic
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Author : Haskell Brooks Curry
language : en
Publisher: Courier Corporation
Release Date : 1977-01-01
Foundations Of Mathematical Logic written by Haskell Brooks Curry and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-01-01 with Mathematics categories.
Written by a pioneer of mathematical logic, this comprehensive graduate-level text explores the constructive theory of first-order predicate calculus. It covers formal methods — including algorithms and epitheory — and offers a brief treatment of Markov's approach to algorithms. It also explains elementary facts about lattices and similar algebraic systems. 1963 edition.
Frank Ramsey
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Author : Cheryl J. Misak
language : en
Publisher:
Release Date : 2020
Frank Ramsey written by Cheryl J. Misak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020 with Biography & Autobiography categories.
Frank Ramsey was a brilliant Cambridge philosopher, mathematician, and economist who died in 1930 at 26 having made landmark contributions to decision theory, game theory, mathematics, logic, semantics, philosophy of science, and the theory of truth. This rich biography tells the story of his extraordinary life and intellectual achievement.
Ontology And The Logistic Analysis Of Language
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Author : Guido Küng
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Ontology And The Logistic Analysis Of Language written by Guido Küng and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
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.
Introduction To Symbolic Logic And Its Applications
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Author : Rudolf Carnap
language : en
Publisher: Courier Corporation
Release Date : 2012-07-12
Introduction To Symbolic Logic And Its Applications written by Rudolf Carnap and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.
Clear, comprehensive, and rigorous treatment develops the subject from elementary concepts to the construction and analysis of relatively complex logical languages. Hundreds of problems, examples, and exercises. 1958 edition.
Wittgenstein In Florida
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Author : Jaakko Hintikka
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Wittgenstein In Florida written by Jaakko Hintikka and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Philosophy categories.
Most of the papers appearing in volume 87 numbers, 1-2 are based on papers presented at the Colloquium on the Philosophy of Ludwig Wittgenstein held at the Department of Philosophy at Florida State University on 7-8 April 1989. We owe warm thanks to Florida State University for generously supporting this colloquium. The English translation of the chapter entitled 'Philosophie', from Wittgenstein's typescript number 213 (von Wright), appears here with permission of Wittgenstein's literary heirs, without affecting existing copyrights. The original German version of this chapter was edited by Heikki Nyman and appeared in Revue Internationale de Philosophie 43 (1989), pp. 175-203. Jaakko Hintikka's article (87, No.2) first appeared in a shorter form in The Times Literary Supplement No. 4565 (28 September to 4 October 1990, p. 1030). The present version appears with the permis sion of The Times Literary Supplement, which is gratefully acknowl edged. Our thanks are due to all the participants of the colloquium and the contributors to these special numbers.
The World S Great Philosophers
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Author : Robert L. Arrington
language : en
Publisher: John Wiley & Sons
Release Date : 2008-04-15
The World S Great Philosophers written by Robert L. Arrington and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-15 with Philosophy categories.
The World's Great Philosophers provides an introduction to and overview of some of the most profound and influential thinkers in the history of philosophy. Presents an introduction to and overview of some of the most profound and influential thinkers in the history of philosophy. Contains 40 essays, written by an outstanding international assembly of scholars. Provides cogent and accessible discussion of key philosophers from around the world. Conveys the historical panorama of philosophical thought on the nature of reality, the human condition, and basic human values.