Neue Grundlagen Der Logik Arithmetik Und Mengenlehre
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Neue Grundlagen Der Logik Arithmetik Und Mengenlehre
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Author : Julius König
language : de
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2021-01-07
Neue Grundlagen Der Logik Arithmetik Und Mengenlehre written by Julius König and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-01-07 with Mathematics categories.
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Neue Grundlagen Der Logik
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Author : Gyula Kőnig
language : de
Publisher:
Release Date : 1914
Neue Grundlagen Der Logik written by Gyula Kőnig and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1914 with Arithmetic categories.
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.
Mengenlehre Und Ihre Logik
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Author : Willard van Orman Quine
language : de
Publisher: Springer-Verlag
Release Date : 2013-03-09
Mengenlehre Und Ihre Logik written by Willard van Orman Quine and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Bertrand Russell And The Origins Of The Set Theoretic Paradoxes
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Author : GARCIADIEGO
language : en
Publisher: Birkhäuser
Release Date : 2013-03-09
Bertrand Russell And The Origins Of The Set Theoretic Paradoxes written by GARCIADIEGO and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Philosophy categories.
Xll Russell's published works include more than sixty books, several unpublished manuscripts, many hundreds of articles, dozens of radio and TV interviews and films, covering a wide spectrum of knowledge. His writings embrace discussions and analysis of such diverse topics as social sciences, foundations of mathematics, philosophy of physics, philosophy in general, religion, moral sciences, education, pacifism, natural sciences (including biology and physics), linguistics, statistics, probability, eco nomic theory, history, politics, international affairs and other topics. He corresponded with a large and diverse group of colleagues including both prominent and obscure figures in politics, the arts, humanities and scienc es. Russell's communication with his colleagues began in the late nine teenth century and was especially active through much of the twentieth century. In spite of being one of the most controversial public personali ties of his day (let us not forget that he went to prison twice, was dis missed from Cambridge University and was prevented from teaching at the College of the City of New York), his merits have been recognized and appreciated. He was awarded many medals, diplomas and honors, including the Nobel Prize for Literature in 1950.
The Evolution Of Principia Mathematica
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Author : Bernard Linsky
language : en
Publisher: Cambridge University Press
Release Date : 2011-06-09
The Evolution Of Principia Mathematica written by Bernard Linsky and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-06-09 with Mathematics categories.
Originally published in 1910, Principia Mathematica led to the development of mathematical logic and computers and thus to information sciences. It became a model for modern analytic philosophy and remains an important work. In the late 1960s the Bertrand Russell Archives at McMaster University in Canada obtained Russell's papers, letters and library. These archives contained the manuscripts for the new Introduction and three Appendices that Russell added to the second edition in 1925. Also included was another manuscript, 'The Hierarchy of Propositions and Functions', which was divided up and re-used to create the final changes for the second edition. These documents provide fascinating insight, including Russell's attempts to work out the theorems in the flawed Appendix B, 'On Induction'. An extensive introduction describes the stages of the manuscript material on the way to print and analyzes the proposed changes in the context of the development of symbolic logic after 1910.
Foundations Of Set Theory
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Author : A.A. Fraenkel
language : en
Publisher: Elsevier
Release Date : 1973-12-01
Foundations Of Set Theory written by A.A. Fraenkel and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973-12-01 with Computers categories.
Foundations of Set Theory discusses the reconstruction undergone by set theory in the hands of Brouwer, Russell, and Zermelo. Only in the axiomatic foundations, however, have there been such extensive, almost revolutionary, developments. This book tries to avoid a detailed discussion of those topics which would have required heavy technical machinery, while describing the major results obtained in their treatment if these results could be stated in relatively non-technical terms. This book comprises five chapters and begins with a discussion of the antinomies that led to the reconstruction of set theory as it was known before. It then moves to the axiomatic foundations of set theory, including a discussion of the basic notions of equality and extensionality and axioms of comprehension and infinity. The next chapters discuss type-theoretical approaches, including the ideal calculus, the theory of types, and Quine's mathematical logic and new foundations; intuitionistic conceptions of mathematics and its constructive character; and metamathematical and semantical approaches, such as the Hilbert program. This book will be of interest to mathematicians, logicians, and statisticians.
Einf Hrung In Die Symbolische Logik
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Author : Rudolf Carnap
language : de
Publisher: Springer-Verlag
Release Date : 2013-04-17
Einf Hrung In Die Symbolische Logik written by Rudolf Carnap and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Philosophy categories.
In der Gestalt der symbolischen oder mathematischen Logik oder Logistik hat die Logik seit etwa 100 Jahren eine völlig neue Form an genommen. Die Verwendung von Symbolen ist zwar das auffallendste Merkmal der neuen Logik, aber nicht das wesentlichste. Wichtiger sind die Exaktheit der Formulierung, die große Ausdehnung des Gebietes, ins besondere in der Theorie der Relationen und der Begriffe höherer Stufen, und die vielfältige Anwendungsmöglichkeit der neuen Methoden. In den letzten Jahrzehnten ist daher das Interesse an der symbolischen Logik in weiteren Kreisen wachgeworden, besonders unter Philosophen und Mathematikern, aber auch unter den Fachwissenschaftlern, die an der Analyse der Begriffe ihrer Fachwissenschaften interessiert sind. Ins besondere in den Vereinigten Staaten ist die symbolische Logik heute ein anerkanntes Fachgebiet in Forschung und Unterricht; hier betrachten die meisten Autoren, die über Philosophie der Erkenntnis, Sprachanalyse, Methodenlehre der Wissenschaft, Grundlagen der Mathematik, axioma. tische Methode und ähnliches schreiben, die symbolische Logik als ein unentbehrliches Hilfsmittel. Dieses Buch möchte dazu beitragen, das Interesse an der symbolischen Logik in den deutschsprachigen Ländern zu fördern. Es unterscheidet sich von den übrigen Lehrbüchern, die meist in englischer Sprache erschienen sind, hauptsächlich in folgenden Punkten. Hier werden nicht nur, wie sonst üblich, die elementaren Teile der Theorie dargestellt, sondern auch ausführlich die höheren Gebiete, besonders die Logik der Relationen, die für die Anwendung besonders wichtig sind. Ferner ist der ganze Teil II der Anwendung der symbolischen Logik gewidmet.
Chapters From G Del S Unfinished Book On Foundational Research In Mathematics
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Author : Jan von Plato
language : en
Publisher: Springer Nature
Release Date : 2022-05-06
Chapters From G Del S Unfinished Book On Foundational Research In Mathematics written by Jan von Plato and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-05-06 with Mathematics categories.
This volume contains English translations of Gödel's chapters on logicism and the antinomies and on the calculi of pure logic, as well as outlines for a chapter on metamathematics. It also comprises most of his reading notes. This book is a testimony to Gödel's understanding of the situation of foundational research in mathematics after his great discovery, the incompleteness theorem of 1931. It is also a source for his views on his logical predecessors, from Leibniz, Frege, and Russell to his own times. Gödel's "own book on foundations," as he called it, is essential reading for logicians and philosophers interested in foundations. Furthermore, it opens a new chapter to the life and achievement of one of the icons of 20th century science and philosophy.
From Kant To Hilbert Volume 2
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Author : William Bragg Ewald
language : en
Publisher: OUP Oxford
Release Date : 2005-04-21
From Kant To Hilbert Volume 2 written by William Bragg Ewald and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-04-21 with Mathematics categories.
Immanuel Kant's Critique of Pure Reason is widely taken to be the starting point of the modern period of mathematics while David Hilbert was the last great mainstream mathematician to pursue important nineteenth cnetury ideas. This two-volume work provides an overview of this important era of mathematical research through a carefully chosen selection of articles. They provide an insight into the foundations of each of the main branches of mathematics—algebra, geometry, number theory, analysis, logic and set theory—with narratives to show how they are linked. Classic works by Bolzano, Riemann, Hamilton, Dedekind, and Poincare are reproduced in reliable translations and many selections from writers such as Gauss, Cantor, Kronecker and Zermelo are here translated for the first time. The collection is an invaluable source for anyone wishing to gain an understanding of the foundation of modern mathematics.