David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1894 1917
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David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1894 1917
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Author : William Ewald
language : de
Publisher: Springer
Release Date : 2023-01-26
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1894 1917 written by William Ewald and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-01-26 with Mathematics categories.
Volume 2 focuses on notes for lectures on the foundations of the mathematical sciences held by Hilbert in the period 1894-1917. They document Hilbert’s first engagement with ‘impossibility’ proofs; his early attempts to formulate and address the problem of consistency, first dealt with in his work on geometry in the 1890s; his engagement with foundational problems raised by the work of Cantor and Dedekind; his early investigations into the relationship between arithmetic, set theory, and logic; his advocation of the use of the axiomatic method generally; his first engagement with the logical and semantical paradoxes; and the first formal attempts to develop a logical calculus. The Volume also contains Hilbert’s address from 1895 which formed the preliminary version of his famous Zahlbericht (1897).
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933
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Author : William Ewald
language : de
Publisher: Springer-Verlag
Release Date : 2013-05-14
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933 written by William Ewald and has been published by Springer-Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-14 with Mathematics categories.
The core of Volume 3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s Habilitationschrift of 1918, the text of the first edition of Hilbert and Ackermann’s Grundzüge der theoretischen Logik (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental Grundlagen der Mathematik (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics.
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933
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Author : William Ewald
language : de
Publisher: Springer
Release Date : 2013-06-03
David Hilbert S Lectures On The Foundations Of Arithmetic And Logic 1917 1933 written by William Ewald and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-06-03 with Mathematics categories.
The core of Volume 3 consists of lecture notes for seven sets of lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and 1926. These texts make possible for the first time a detailed reconstruction of the rapid development of Hilbert’s foundational thought during this period, and show the increasing dominance of the metamathematical perspective in his logical work: the emergence of modern mathematical logic; the explicit raising of questions of completeness, consistency and decidability for logical systems; the investigation of the relative strengths of various logical calculi; the birth and evolution of proof theory, and the parallel emergence of Hilbert’s finitist standpoint. The lecture notes are accompanied by numerous supplementary documents, both published and unpublished, including a complete version of Bernays’s Habilitationschrift of 1918, the text of the first edition of Hilbert and Ackermann’s Grundzüge der theoretischen Logik (1928), and several shorter lectures by Hilbert from the later 1920s. These documents, which provide the background to Hilbert and Bernays’s monumental Grundlagen der Mathematik (1934, 1938), are essential for understanding the development of modern mathematical logic, and for reconstructing the interactions between Hilbert, Bernays, Brouwer, and Weyl in the philosophy of mathematics.
The Philosophy Of Mathematical Practice
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Author : Paolo Mancosu
language : en
Publisher: OUP Oxford
Release Date : 2008-06-19
The Philosophy Of Mathematical Practice written by Paolo Mancosu and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-06-19 with Philosophy categories.
Contemporary philosophy of mathematics offers us an embarrassment of riches. Among the major areas of work one could list developments of the classical foundational programs, analytic approaches to epistemology and ontology of mathematics, and developments at the intersection of history and philosophy of mathematics. But anyone familiar with contemporary philosophy of mathematics will be aware of the need for new approaches that pay closer attention to mathematical practice. This book is the first attempt to give a coherent and unified presentation of this new wave of work in philosophy of mathematics. The new approach is innovative at least in two ways. First, it holds that there are important novel characteristics of contemporary mathematics that are just as worthy of philosophical attention as the distinction between constructive and non-constructive mathematics at the time of the foundational debates. Secondly, it holds that many topics which escape purely formal logical treatment - such as visualization, explanation, and understanding - can nonetheless be subjected to philosophical analysis. The Philosophy of Mathematical Practice comprises an introduction by the editor and eight chapters written by some of the leading scholars in the field. Each chapter consists of short introduction to the general topic of the chapter followed by a longer research article in the area. The eight topics selected represent a broad spectrum of contemporary philosophical reflection on different aspects of mathematical practice: diagrammatic reasoning and representation systems; visualization; mathematical explanation; purity of methods; mathematical concepts; the philosophical relevance of category theory; philosophical aspects of computer science in mathematics; the philosophical impact of recent developments in mathematical physics.
Philosophy Of Logic And Mathematics
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Author : Gabriele M. Mras
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2019-11-18
Philosophy Of Logic And Mathematics written by Gabriele M. Mras 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 2019-11-18 with Philosophy categories.
This volume presents different conceptions of logic and mathematics and discuss their philosophical foundations and consequences. This concerns first of all topics of Wittgenstein's ideas on logic and mathematics; questions about the structural complexity of propositions; the more recent debate about Neo-Logicism and Neo-Fregeanism; the comparison and translatability of different logics; the foundations of mathematics: intuitionism, mathematical realism, and formalism. The contributing authors are Matthias Baaz, Francesco Berto, Jean-Yves Beziau, Elena Dragalina-Chernya, Günther Eder, Susan Edwards-McKie, Oliver Feldmann, Juliet Floyd, Norbert Gratzl, Richard Heinrich, Janusz Kaczmarek, Wolfgang Kienzler, Timm Lampert, Itala Maria Loffredo D'Ottaviano, Paolo Mancosu, Matthieu Marion, Felix Mühlhölzer, Charles Parsons, Edi Pavlovic, Christoph Pfisterer, Michael Potter, Richard Raatzsch, Esther Ramharter, Stefan Riegelnik, Gabriel Sandu, Georg Schiemer, Gerhard Schurz, Dana Scott, Stewart Shapiro, Karl Sigmund, William W. Tait, Mark van Atten, Maria van der Schaar, Vladimir Vasyukov, Jan von Plato, Jan Woleński and Richard Zach.
David Hilbert S Lectures On The Foundations Of Geometry 1891 1902
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Author : Michael Hallett
language : de
Publisher: Springer
Release Date : 2004-05-17
David Hilbert S Lectures On The Foundations Of Geometry 1891 1902 written by Michael Hallett and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-05-17 with Mathematics categories.
This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.
New Dictionary Of Scientific Biography
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Author : Noretta Koertge
language : en
Publisher: Scribner
Release Date : 2008
New Dictionary Of Scientific Biography written by Noretta Koertge and has been published by Scribner this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Science categories.
Also available online as part of the Gale Virtual Reference Library under the title Complete dictionary of scientific biography.
David Hilbert S Notebooks And General Foundational Lectures
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Author : William Ewald
language : de
Publisher: Springer
Release Date : 2017-11-03
David Hilbert S Notebooks And General Foundational Lectures written by William Ewald and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-03 with Mathematics categories.
Volume 6 contains a selection of material exhibiting many of Hilbert’s philosophical and foundational views on particular theories and the exact sciences in general, drawn from his private notebooks and from lectures for more general audiences held in the 1920s.
The Foundations Of Geometry
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Author : David Hilbert
language : en
Publisher:
Release Date : 1902
The Foundations Of Geometry written by David Hilbert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1902 with Mathematics categories.
David Hilbert S Lectures On The Foundations Of Geometry 1891 1902
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Author : Michael Hallett
language : de
Publisher: Springer Science & Business Media
Release Date : 2004-05-17
David Hilbert S Lectures On The Foundations Of Geometry 1891 1902 written by Michael Hallett 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 2004-05-17 with Mathematics categories.
This volume contains six sets of notes for lectures on the foundations of geometry held by Hilbert in the period 1891-1902. It also reprints the first edition of Hilbert’s celebrated Grundlagen der Geometrie of 1899, together with the important additions which appeared first in the French translation of 1900. The lectures document the emergence of a new approach to foundational study and contain many reflections and investigations which never found their way into print.