Overview
The bulk of this volume consists of six sets of notes for lectures Hilbert gave (often in collaboration with Bernays) on the foundations of mathematics between 1917 and the early 1930s. The notes detail the increasing dominance of the metamathematical perspective in Hilberts treatment, i.e., the development of modern mathematical logic, the evolution of proof theory, and the parallel emergence of Hilbert's finitist standpoint. The notes are mostly very polished expositions; e.g., the 1917-18 lectures are in effect a first draft of Hilbert and Ackermanns Grundzuge der theoretischen Logik (1928), reprinted in this Volume. They are thus essential for understanding the development of modern mathematical logic leading up to Hilbert and Bernayss Grundlagen der Mathematik (1934, 1938). Also included is a complete version of Bernays Habilitationschrift of 1918, only partially published in 1926.
Full Product Details
Author: William Ewald ,
Wilfried Sieg ,
Michael Hallett ,
Ulrich Majer
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Dimensions:
Width: 15.50cm
, Height: 5.60cm
, Length: 23.50cm
Weight: 1.990kg
ISBN: 9783540205784
ISBN 10: 3540205780
Pages: 1062
Publication Date: 03 June 2013
Audience:
College/higher education
,
Professional and scholarly
,
Tertiary & Higher Education
,
Professional & Vocational
Format: Hardback
Publisher's Status: Active
Availability: Awaiting stock
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Reviews
From the book reviews: The volume under review is the third in a projected series of six presenting Hilbert s unpublished lectures in the foundations of the exact sciences. This volume is a wonderful achievement. The book belongs in the library of anyone interested in logic and the foundations of mathematics. Indeed, it should be placed in one of the lower shelves, so as to be ready to hand for frequent use. (Paolo Mancosu, Philosophia Mathematica, Vol. 23 (1), February, 2015)
“The selection concerns above all lecture courses on the foundations of arithmetic and logic held between 1917 and 1933. … The edition deserves highest praise. It shows intuitively the development of foundational ideas in the making which finally led to the new mathematical subdiscipline of proof theory.” (Volker Peckhaus, Studia Logica, Vol. 105, 2017) “The editors have produced an impeccable and exhaustive critical edition of all of Hilbert’s papers on mathematical logic and meta-mathematics written between 1917 and 1931 in German. … this volume is excellently designed for the historian as a working source book for whom it is clearly indispensable. But it should also serve those still interested in the Foundations of Mathematics and its open problems left by Hilbert and his students … .” (Catharine C. Hennix, Nieuw Archief voor Wiskunde, Vol. 17 (4), December,2016) “The volume under review is the third in a projected series of six presenting Hilbert’s unpublished lectures in the foundations of the exact sciences. … This volume is a wonderful achievement. … The book belongs in the library of anyone interested in logic and the foundations of mathematics. Indeed, it should be placed in one of the lower shelves, so as to be ready to hand for frequent use.” (Paolo Mancosu, Philosophia Mathematica, Vol. 23 (1), February, 2015)
