The 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
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Author : Frank Plumpton Ramsey
language : en
Publisher:
Release Date : 2002
The Foundations Of Mathematics 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 2002 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.
Tractatus In Context
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Author : James C. Klagge
language : en
Publisher: Routledge
Release Date : 2021-10-01
Tractatus In Context written by James C. Klagge and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-10-01 with Philosophy categories.
Ludwig Wittgenstein’s brief Tractatus Logico-Philosophicus (1922) is one of the most important philosophical works of the twentieth century, yet it offers little orientation for the reader. The first-time reader is left wondering what it could be about, and the scholar is left with little guidance for interpretation. In Tractatus in Context, James C. Klagge presents the vital background necessary for appreciating Wittgenstein’s gnomic masterpiece. Tractatus in Context contains the early reactions to the Tractatus, including the initial reviews written in 1922-1924. And while we can’t talk with Wittgenstein, we can do the next best thing—hear what he had to say about the Tractatus. Klagge thus presents what Wittgenstein thought about germane issues leading up to his writing the book, in discussions and correspondence with others about his ideas, and what he had to say about the Tractatus after it was written—in letters, lectures and conversations. It offers, you might say, Wittgenstein’s own commentary on the book. Key Features: Illuminates what is at stake in the Tractatus, by providing the views of others that engaged Wittgenstein as he was writing it. Includes Wittgenstein’s earlier thoughts on ideas in the book as recorded in his notebooks, letters, and conversations as well as his later, retrospective comments on those ideas. Draws on new or little-known sources, such as Wittgenstein’s coded notebooks, Hermine’s notes, Frege’s letters, Hänsel’s diary, Ramsey’s notes, and Skinner’s dictations. Draws connections between the background context and specific passages in the Tractatus, using a proposition-by-proposition commentary.
Handbook On The History Of Economic Analysis Volume I
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Author : Gilbert Faccarello
language : en
Publisher: Edward Elgar Publishing
Release Date : 2016-07-27
Handbook On The History Of Economic Analysis Volume I written by Gilbert Faccarello and has been published by Edward Elgar Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-27 with Biography & Autobiography categories.
Volume I contains original biographical profiles of many of the most important and influential economists from the seventeenth century to the present day. These inform the reader about their lives, works and impact on the further development of the discipline. The emphasis is on their lasting contributions to our understanding of the complex system known as the economy. The entries also shed light on the means and ways in which the functioning of this system can be improved and its dysfunction reduced.
On Truth
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Author : Frank Plumpton Ramsey
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
On Truth written by Frank Plumpton Ramsey 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.
The present publication forms part of a projected book that F. P. Ramsey drafted but never completed. It survived among his papers and ultimately came into the possession of the University of Pittsburgh in the circumstances detailed in the Editor's Introduction. Our hope in issuing this work at this stage - some sixty years after Ramsey's premature death at the age of 26 - is both to provide yet another token of his amazing philosophical creativity, and also to make available an important datum for the still to be written history of the development of philosophical analysis. This is a book whose appearance will, we hope and expect, be appreciated both by those interested in linguistic philosophy itself and by those concerned for its historical development in the present century. EDITORS'INTRODUCTION 1. THE RAMSEY COLLECTION Frank Plump ton Ramsey (22 February 1903 -19 January 1930) was an extra ordinary scholarly phenomenon. Son of a distinguished mathematician and President of Magdalene College, Cambridge and brother of Arthur Michael, eventual Archbishop of Canterbury, Ramsey was closely connected with Cambridge throughout his life, ultimately becoming lecturer in Mathematics in the University. Notwithstanding his great mathematical talent, it was primarily logic and philosophy that engaged his interests, and he wrote original and important contributions to logic, semantics, epistomology, probability theory, philosophy of science, and economics, in addition to seminal work in the foundations of mathematics.
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.
Dialectic Of The Ladder
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Author : Ben Ware
language : en
Publisher: Bloomsbury Publishing
Release Date : 2015-08-27
Dialectic Of The Ladder written by Ben Ware and has been published by Bloomsbury Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-27 with Philosophy categories.
Ludwig Wittgenstein's Tractatus Logico-Philosophicus (1922) remains one of the most enigmatic works of twentieth century thought. In this bold and original new study, Ben Ware argues that Wittgenstein's early masterpiece is neither an analytic treatise on language and logic, nor a quasi-mystical work seeking to communicate 'ineffable' truths. Instead, we come to understand the Tractatus by grasping it in a twofold sense: first, as a dialectical work which invites the reader to overcome certain 'illusions of thought'; and second as a modernist work whose anti-philosophical ambition is intimately tied to its radical aesthetic character. By placing the Tractatus in the force field of modernism, Dialectic of the Ladder clears the ground for a new and challenging exploration of the work's ethical dimension. It also casts new light upon the cultural, aesthetic and political significances of Wittgenstein's writing, revealing hitherto unacknowledged affinities with a host of philosophical and literary authors, including Hegel, Kierkegaard, Marx, Nietzsche, Adorno, Benjamin, and Kafka.
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.