Gutenberg Open Science: On the origins of Cantor’s paradox : what Hilbert left unsaid at the 1900 ICM in Paris

Please use this identifier to cite or link to this item: http://doi.org/10.25358/openscience-9000

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DC Field	Value	Language
dc.contributor.author	Rowe, David E.	-
dc.date.accessioned	2023-04-24T07:58:34Z	-
dc.date.available	2023-04-24T07:58:34Z	-
dc.date.issued	2023	-
dc.identifier.uri	https://openscience.ub.uni-mainz.de/handle/20.500.12030/9017	-
dc.description.abstract	The first two of the twenty-three unsolved problems that David Hilbert famously proposed at the 1900 International Congress of Mathematicians (ICM) in 1900 dealt with issues associated with the real number continuum. The first problem concerned Cantor’s continuum hypothesis, whereas the second dealt with Hilbert’s attempt to establish the existence of the continuum by proving the consistency of his axioms for characterizing its properties. Few have noted, however, that Hilbert himself linked the larger goals of Cantor’s theory of transfinite arithmetic with those of his own program for axiomatization. By carefully recounting Hilbert’s interactions with Cantor from 1897 onward, this paper shows how Hilbert’s understanding of “Cantor’s paradox” influenced the views he expressed at the 1900 ICM.	en_GB
dc.description.sponsorship	Deutsche Forschungsgemeinschaft (DFG)\|491381577\|Open-Access-Publikationskosten 2022–2024 Universität Mainz - Universitätsmedizin	-
dc.language.iso	eng	de
dc.rights	CC BY	*
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/	*
dc.subject.ddc	510 Mathematik	de_DE
dc.subject.ddc	510 Mathematics	en_GB
dc.title	On the origins of Cantor’s paradox : what Hilbert left unsaid at the 1900 ICM in Paris	en_GB
dc.type	Zeitschriftenaufsatz	de
dc.identifier.doi	http://doi.org/10.25358/openscience-9000	-
jgu.type.dinitype	article	en_GB
jgu.type.version	Published version	de
jgu.type.resource	Text	de
jgu.organisation.department	FB 08 Physik, Mathematik u. Informatik	de
jgu.organisation.number	7940	-
jgu.organisation.name	Johannes Gutenberg-Universität Mainz	-
jgu.rights.accessrights	openAccess	-
jgu.journal.title	The mathematical intelligencer	de
jgu.journal.volume	Version of Record (VoR)	de
jgu.publisher.year	2023	-
jgu.publisher.name	Springer	de
jgu.publisher.place	Berlin u.a.	de
jgu.publisher.issn	1866-7414	de
jgu.organisation.place	Mainz	-
jgu.subject.ddccode	510	de
jgu.publisher.doi	10.1007/s00283-022-10259-x	de
jgu.organisation.ror	https://ror.org/023b0x485	-
Appears in collections:	DFG-491381577-H

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