David Hilbert's Lectures on the Foundations of Arithmetic and Logic 1917-1933

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 reconstructi

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david hilbert’s

Lectures on the Foundations of Arithmetic and Logic 1917–1933

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David Hilbert’s Foundational Lectures

Editors

David Hilbert’s Lectures on the Foundations of Arithmetic and Logic 1917–1933

David Hilbert’s Lectures on the Foundations of Mathematics and Physics, 1891–1933 General Editors William Ewald, Michael Hallett, Ulrich Majer and Wilfried Sieg

Volume 1 David Hilbert’s Lectures on the Foundations of Geometry, 1891–1902 Volume 2 David Hilbert’s Lectures on the Foundations of Arithmetic and Logic, 1894–1917 Volume 3 David Hilbert’s Lectures on the Foundations of Arithmetic and Logic, 1917–1933 Volume 4 David Hilbert’s Lectures on the Foundations of Physics, 1898–1914 Classical, Relativistic and Statistical Mechanics Volume 5 David Hilbert’s Lectures on the Foundations of Physics, 1915–1927 Relativity, Quantum Theory and Epistemology Volume 6 David Hilbert’s Notebooks and General Foundational Lectures

William Ewald Wilfried Sieg Editors Michael Hallett Associate Editor

David Hilbert’s Lectures on the Foundations of Arithmetic and Logic 1917–1933 in collaboration with Ulrich Majer and Dirk Schlimm

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Editors William Ewald Law School University of Pennsylvania Philadelphia, Pennsylvania USA

Wilfried Sieg Department of Philosophy Carnegie Mellon University Pittsburgh, Pennsylvania USA

Ulrich Majer Philosophisches Seminar Universität Göttingen Göttingen Germany

Dirk Schlimm Department of Philosophy McGill University Montréal, Québec Canada

Michael Hallett Department of Philosophy McGill University Montréal, Québec Canada

ISBN 978-3-540-20578-4 ISBN 978-3-540-69444-1 (eBook) DOI 10.1007/978-3-540-69444-1 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2013938947 © Springer-Verlag Berlin Heidelberg 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statemen