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The Motives behind Cantor's Set Theory – Physical, Biological, and Philosophical Questions

 

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dc.creator Ferreirós Domínguez, José Manuel es
dc.date.accessioned 2016-04-22T11:37:50Z
dc.date.available 2016-04-22T11:37:50Z
dc.date.issued 2004
dc.identifier.issn 0269-8897 (print) es
dc.identifier.issn 1474-0664 (online) es
dc.identifier.uri http://hdl.handle.net/11441/40318
dc.description.abstract The celebrated “creation” of transfinite set theory by Georg Cantor has been studied in detail by historians of mathematics. However, it has generally been overlooked that his research program cannot be adequately explained as an outgrowth of the mainstream mathematics of his day. We review the main extra-mathematical motivations behind Cantor’s very novel research, giving particular attention to a key contribution, the Grundlagen (Foundations of a general theory of sets) of 1883, where those motives are articulated in some detail. Evidence from other publications and correspondence is pulled out to provide clarification and a detailed interpretation of those ideas and their impact upon Cantor’s research. Throughout the paper, a special effort is made to place Cantor’s scientific undertakings within the context of developments in German science and philosophy at the time (philosophers such as Trendelenburg and Lotze, scientists like Weber, Riemann, Vogt, Haeckel), and to reflect on the German intellectual atmosphere during the nineteenth century. es
dc.format application/pdf es
dc.language.iso eng es
dc.relation.ispartof Science in Context, 17(1/2), 49-83 es
dc.rights.uri http://creativecommons.org/licenses/by-nc-nd/4.0/ *
dc.subject Georg Cantor es
dc.subject Set theory es
dc.title The Motives behind Cantor's Set Theory – Physical, Biological, and Philosophical Questions es
dc.type info:eu-repo/semantics/article es
dc.type.version info:eu-repo/semantics/submittedVersion es
dc.rights.accessrights info:eu-repo/semantics/openAccess es
dc.contributor.affiliation Universidad de Sevilla. Departamento de Filosofía y Lógica y Filosofía de la Ciencia es
dc.identifier.doi http://dx.doi.org/10.1017/S0269889704000055 es
idus.format.extent 34 p. es
dc.identifier.idus https://idus.us.es/xmlui/handle/11441/40318
Size: 415.5Kb
Format: PDF

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