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Metadata: Zabel, Walter: D. Hilbert. Elemente u. Prinzipien der Mathematik
Manuscript
- Title:
- D. Hilbert. Elemente u. Prinzipien der Mathematik
- Other titles:
- Raum und Zeit : Vortrag, gehalten auf der 80. Naturforscher-Versammlung zu Köln, am 21. September 1908 von Dr. Hermann Minkowski, Prof. an der Universität Göttingen
- Subtitle:
- [Vorlesungsmitschrift, Göttingen SS 1913]
- Publication year:
- 1913
- Note:
- Vorlesungsmitschriften von Walter Zabel, lecture notes taken by Walter Zabel
- Language:
- German
- Shelfmark:
- Rara H641el
- Description:
-
Hilbert, David, Elemente und Prinzipien der Mathematik, Vorlesung, Göttingen SS 1913:
Hilbert announced at the beginning three topics:
A. Axiomatische Methode
B. Problem der Quadratur des Kreises
C. Mathematische Logik
According to the notes of Zabel, Hilbert's lecture focused in the first part on axiom systems, starting with axioms of algebra, followed by axioms of geometry essentially following Hilbert's famous publication. The first part continues with axioms of physics, dealing with mechanics, successively with axioms of mechanics, radiation, thermodynamics, probability, and psychophysics. The part ends with a section on space and time which is a brief account of special relativity.
Hilbert then dropped the second topic for time reasons and provided only an outline taken from his lecture on "Grundlagen der Analysis (und Geometrie)" in the winter semester 1911/12, covering geometrical constructions with compasses and ruler, geometrical constructions with advanced mathematical means, and the problem of the squaring of the circle.
The third part entitled now more precisely as "Das mathematische Denken und die Logik" starts with paradoxes of set theory followed by a more general part on fallacious reasoning. In the following, the lecture dealt with axioms of logic and number and ends with a treatment of indirect proofs using as an example the skipped part on constructions with compasses and ruler.
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Minkowski, Hermann, Raum und Zeit, Vortrag, Köln 1908:
Lecture given in Köln on September 21, 1908, at the 80th convention of the "Deutsche Naturforscher und Ärzte". Walter Zabel copied the text of this lecture from a publication which was out of print at that time as an appendix to his lecture notes of Hilbert's lecture on "Die Elemente und Prinzipien der Mathematik".
- Location (original):
- Max-Planck-Institut für Wissenschaftsgeschichte / Max Planck Institute for the History of Science
