Why the Weyl Tile Argument Is Wrong.
Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advancing alternative accounts of discrete geometry that recover approximately Euclidean space. However, they have missed an i...
| Publicado en: | British Journal for the Philosophy of Science Vol. 76; no. 4; pp. 823 - 846 |
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| Formato: | Artículo |
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University of Chicago Press
Dec2025
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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=189879615&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 189879615 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00070882 BPL jtl: British Journal for the Philosophy of Science issn: 00070882 maglogo: N pubinfo: dt: Dec2025 vid: 76 iid: 4 pid: 415 pub: University of Chicago Press artinfo: ui: 189879615 10.1086/722106 ppf: 823 ppct: 23 formats: tig: atl: Why the Weyl Tile Argument Is Wrong. aug: au: Chen, Lu affil: Philosophy Department. Koc University. İstanbul, Türkiye. su: Discrete geometry Euclidean geometry Geometry Statistical physics Quantum mechanics sug: subj: Discrete geometry Euclidean geometry Geometry Statistical physics Quantum mechanics ab: Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advancing alternative accounts of discrete geometry that recover approximately Euclidean space. However, they have missed an importantly flawed assumption in Weyl's argument: physical geometry is determined by fundamental spacetime structures independently from dynamical laws. In this article, I aim to show its falsity through two rigorous examples: random walks in statistical physics and quantum mechanics. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2025 holdings: @attributes: islocal: N |
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