Peirce on Perfect Sets, Revised.
The article examines philosopher Charles S. Peirce's definition of continuity in the "Century Dictionary" as it was reprinted in the "Collected Papers." The definition of perfect sets that Peirce had attributed to Georg Cantor is different and inconsistent with other statements Peirce makes in his o...
| Publicado en: | Transactions of the Charles S. Peirce Society Vol. 45; no. 4; pp. 649 - 668 |
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| Formato: | Artículo |
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Indiana University Press
Fall2009
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=49036271&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 49036271 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00091774 2HR jtl: Transactions of the Charles S. Peirce Society issn: 00091774 maglogo: N pubinfo: dt: Fall2009 vid: 45 iid: 4 pid: 211 pub: Indiana University Press artinfo: ui: 49036271 10.2979/tra.2009.45.4.649 ppf: 649 ppct: 19 formats: fmt: @attributes: type: P size: 729KB tig: atl: Peirce on Perfect Sets, Revised. aug: au: MOORE, MATTEW E. affil: Brooklyn College. su: Peirce, Charles S. (Charles Sanders), 1839-1914 Philosophy of mathematics Cantor, Georg, 1845-1918 Set theory Continuity Definitions sug: subj: Peirce, Charles S. (Charles Sanders), 1839-1914 Philosophy of mathematics Cantor, Georg, 1845-1918 Set theory Continuity Definitions keyword: Cantor ab: The article examines philosopher Charles S. Peirce's definition of continuity in the "Century Dictionary" as it was reprinted in the "Collected Papers." The definition of perfect sets that Peirce had attributed to Georg Cantor is different and inconsistent with other statements Peirce makes in his own dictionary entry. According to the article, the inconsistency is gone upon reverting to Peirce's original "Century Dictionary" but the "Collected Papers" version includes a revision which Peirce had marked and then canceled in his copy of the dictionary. How Peirce's disregard of the divergence from Cantor's definition of perfect sets is linked between his standpoint and Cantor's is discussed. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Transactions of the Charles S. Peirce Society is the property of Indiana University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Transactions of the Charles S. Peirce Society holder: Indiana University Press dt: @attributes: year: 2009 holdings: @attributes: islocal: N |
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