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Historia Mathematica
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Historia Mathematica
Article . 2002
License: Elsevier Non-Commercial
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Historia Mathematica
Article . 2002 . Peer-reviewed
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Article . 2002
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Hilbert's Paradox

Hilbert's paradox
Authors: Peckhaus, Volker; Kahle, Reinhard;

Hilbert's Paradox

Abstract

Hilbert became much interested in Cantor's set theory in the late 1890s, and he found some paradoxes of his own, which he presented at a lecture course in Göttingen in 1904-1905. The authors describe the context of this work, especially the relationship to Cantor's paradox of ``too large'' sets. They also transcribe the main passage from the lecture course, and give an English translation; sadly, the two texts are not placed en face.

Keywords

History of mathematics in the 20th century, History, Mathematics(all), History of mathematical logic and foundations, Philosophical and critical aspects of logic and foundations, Axiomatics of classical set theory and its fragments

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
31
Top 10%
Top 10%
Average
hybrid