Intrinsic local distances: a mixed solution to Weyl's tile argument.
Weyl's tile argument purports to show that there are no natural distance functions in atomistic space that approximate Euclidean geometry. I advance a response to this argument that relies on a new account of distance in atomistic space, called the mixed account, according to which local distances a...
| Publicado en: | Synthese Vol. 198; no. 8; pp. 7533 - 7553 |
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| Formato: | Artículo |
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Springer Nature
Aug2021
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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=151648032&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 151648032 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Aug2021 vid: 198 iid: 8 pid: 237 pub: Springer Nature artinfo: ui: 151648032 10.1007/s11229-020-02531-4 ppf: 7533 ppct: 20 formats: fmt: @attributes: type: P size: 684KB tig: atl: Intrinsic local distances: a mixed solution to Weyl's tile argument. aug: au: Chen, Lu affil: Philosophy Department, South College 305, University of Massachusetts Amherst, Amherst, USA su: Argument Accounting standards Function spaces Distances sug: subj: Argument Accounting standards Function spaces Distances keyword: Atomistic space Discrete space Intrinsic distance Locality Metric tensor Path-dependent distance Weyl's tile argument ab: Weyl's tile argument purports to show that there are no natural distance functions in atomistic space that approximate Euclidean geometry. I advance a response to this argument that relies on a new account of distance in atomistic space, called the mixed account, according to which local distances are primitive and other distances are derived from them. Under this account, atomistic space can approximate Euclidean space (and continuous space in general) very well. To motivate this account as a genuine solution to Weyl's tile argument, I argue that this account is no less natural than the standard account of distance in continuous space. I also argue that the mixed account has distinctive advantages over Forrest's (Synthese 103:327–354, 1995) account in response to Weyl's tile argument, which can be considered as a restricted version of the mixed account. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2021. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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