Article ID: CBB000831434

The Last Mathematician from Hilbert's Göttingen: Saunders Mac Lane as Philosopher of Mathematics (2007)

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While Saunders Mac Lane studied for his D.Phil in Gottingen, he heard DavidHilbert's weekly lectures on philosophy, talked philosophy with Hermann Weyl, and studied it with Moritz Geiger. Their philosophies and Emmy Noether's algebra all influenced his conception of category theory, which has become the working structure theory of mathematics. His practice has constantly affirmed that a proper large-scale organization for mathematics is the most efficient path to valuable specific results---while he sees that the question of which results are valuable has an ineliminable philosophic aspect. His philosophy relies on the ideas of truth and existence he studied in Gttingen. His career is a case study relating naturalism in philosophy of mathematics to philosophy as it naturally arises in mathematics.

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Description On Mac Lane's influences in Gottingen, including David Hilbert, Hermann Weyl, Moritz Geiger, and Emmy Noether.


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Authors & Contributors
Gray, Jeremy
Rowe, David E.
Scholz, Erhard
Vizgin, Vladimir P.
Jahnke, Hans Niels
Sigurdsson, Skuli
Journals
NTM: Zeitschrift für Geschichte der Naturwissenschaften, Technik und Medizin
Mathematische Semesterberichte
Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics
Science in Context
Physics in Perspective
Archive for History of Exact Sciences
Publishers
UTET
Oxford University Press
University of British Columbia (Canada)
de Gruyter
Gangemi Editore
Springer International
Concepts
Mathematics
Philosophy of mathematics
Philosophy
Physics
Algebra
Logic
People
Hilbert, David
Weyl, Hermann
Noether, Emmy
Gödel, Kurt
Einstein, Albert
Klein, Felix
Time Periods
20th century
20th century, early
19th century
18th century
Places
Central Europe: Germany, Austria, Switzerland
Germany
France
Institutions
Universität Göttingen
Göttingen. Universität
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