Linnebo's Abstractionism and the Bad Company Problem.
In Thin Objects: An Abstractionist Account, Linnebo offers what he describes as a "simple and definitive" solution to the bad company problem facing abstractionist accounts of mathematics. "Bad" abstraction principles can be rendered "good" by taking abstraction to have a predicative character. But...
| Publicado en: | Theoria: A Swedish Journal of Philosophy Vol. 89; no. 3; pp. 366 - 393 |
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| Formato: | Artículo |
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Wiley-Blackwell
Jun2023
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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=164230706&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 164230706 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00405825 HL0 jtl: Theoria: A Swedish Journal of Philosophy issn: 00405825 maglogo: Y pubinfo: dt: Jun2023 vid: 89 iid: 3 pid: 480 pub: Wiley-Blackwell artinfo: ui: 164230706 10.1111/theo.12356 ppf: 366 ppct: 27 formats: fmt: – @attributes: type: T – @attributes: type: P size: 343KB tig: atl: Linnebo's Abstractionism and the Bad Company Problem. aug: au: Studd, J. P. affil: Faculty of Philosophy, University of Oxford su: Mathematics Set theory Axioms Modality (Linguistics) Linnebo, Oystein sug: subj: Mathematics Set theory Axioms Modality (Linguistics) Linnebo, Oystein keyword: abstractionism bad company problem modality thin objects ab: In Thin Objects: An Abstractionist Account, Linnebo offers what he describes as a "simple and definitive" solution to the bad company problem facing abstractionist accounts of mathematics. "Bad" abstraction principles can be rendered "good" by taking abstraction to have a predicative character. But the resulting predicative axioms are too weak to recover substantial portions of mathematics. Linnebo pursues two quite different strategies to overcome this weakness in the case of set theory and arithmetic. I argue that neither infinitely iterated abstraction nor abstraction on possible specifications fully resolves the bad company problem. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Theoria: A Swedish Journal of Philosophy is the property of Wiley-Blackwell 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: Theoria: A Swedish Journal of Philosophy holder: Wiley-Blackwell dt: @attributes: year: 2023 holdings: @attributes: islocal: N |
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