Borel on the Heap.
In 1907 Borel published a remarkable essay on the paradox of the Heap ('Un paradoxe économique: le sophisme du tas de blé et les vérités statistiques'), in which Borel proposes what is likely the first statistical account of vagueness ever written, and where he discusses the practical implications o...
| Publicado en: | Erkenntnis Vol. 79; pp. 1043 - 1080 |
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| Autores principales: | , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Jun2014 Supplement
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| Materias: | |
| 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=98148457&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 98148457 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 01650106 5KZ jtl: Erkenntnis issn: 01650106 maglogo: N pubinfo: dt: Jun2014 Supplement vid: 79 pid: 237 pub: Springer Nature artinfo: ui: 98148457 10.1007/s10670-013-9596-3 ppf: 1043 ppct: 37 formats: fmt: @attributes: type: P size: 530KB tig: atl: Borel on the Heap. aug: au: Égré, Paul Barberousse, Anouk affil: Institut Jean-Nicod (CNRS, ENS, EHESS), École Normale Supérieure, 29 rue d'Ulm 75005 Paris France Université Lille 1 & UMR Savoirs, Textes, Langage, Bat. P5 bis, Cité Scientifique 59655 Villeneuve d'Ascq France su: Heaps (Mathematics) Measurement errors Vagueness (Philosophy) Borel, Émile, 1871-1956 Probability theory sug: subj: Heaps (Mathematics) Measurement errors Vagueness (Philosophy) Borel, Émile, 1871-1956 Probability theory ab: In 1907 Borel published a remarkable essay on the paradox of the Heap ('Un paradoxe économique: le sophisme du tas de blé et les vérités statistiques'), in which Borel proposes what is likely the first statistical account of vagueness ever written, and where he discusses the practical implications of the sorites paradox, including in economics. Borel's paper was integrated in his book Le Hasard, published 1914, but has gone mostly unnoticed since its publication. One of the originalities of Borel's essay is that it puts forward a model of vagueness as imprecision, making particular use of the Gaussian law of measurement errors to model categorization. The aim of our paper is to give a presentation of the historical context of Borel's essay, to spell out the mathematical details of his model, and to provide a critical assessment of his theory. Three aspects of Borel's account are particularly discussed: the first concerns the comparison between Borel's statistical account and posterior degree-theoretic accounts of vagueness. The second concerns the anti-epistemicist flavor of Borel's approach, whereby the idea of statistical fluctuation is used to undermine the notion of sharp boundary for vague predicates. The third concerns the problematic link between Borel's model of vagueness as imprecision and the notion of semantic indeterminacy. An English translation of Borel's original essay is appended to this paper ( Erkenntnis, this issue). pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Erkenntnis is a copyright of Springer, 2014. All Rights Reserved. item: Erkenntnis holder: Springer Nature dt: @attributes: year: 2014 holdings: @attributes: islocal: N |
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