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The origins of mathematical abstraction. (English) Zbl 0934.18001

The author lists 37 books and papers (from Hilbert to Jacobson – not to forget Mac Lane) which were actually involved in the development of the axiomatic method up to 1945. In particular they were all known to Eilenberg and Mac Lane at the time of the discovery of category theory.
The striking influence of D. Hilbert is highlighted.
Reviewer: B.Richter (Berlin)

MSC:

18-03 History of category theory
01A60 History of mathematics in the 20th century
18A15 Foundations, relations to logic and deductive systems
03-03 History of mathematical logic and foundations
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