On Topological Issues of Indeterminism.
Indeterminism, understood as a notion that an event may be continued in a few alternative ways, invokes the question what a region of chanciness looks like. We concern ourselves with its topological and spatiotemporal aspects, abstracting from the nature or mechanism of chancy processes. We first ar...
| Publicado en: | Erkenntnis Vol. 79; pp. 403 - 437 |
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| Autores principales: | , , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Apr2014 Supplement 3
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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=95798918&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 95798918 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 01650106 5KZ jtl: Erkenntnis issn: 01650106 maglogo: N pubinfo: dt: Apr2014 Supplement 3 vid: 79 pid: 237 pub: Springer Nature artinfo: ui: 95798918 10.1007/s10670-013-9455-2 ppf: 403 ppct: 34 formats: fmt: @attributes: type: P size: 690KB tig: atl: On Topological Issues of Indeterminism. aug: au: Placek, Tomasz Belnap, Nuel Kishida, Kohei affil: Jagiellonian University, Kraków Poland University of Pittsburgh, Pittsburgh USA University of Amsterdam, Amsterdam The Netherlands su: Indeterminism (Philosophy) Spatiotemporal processes Notions (Philosophy) Topological derivatives Hausdorff spaces Branching processes sug: subj: Indeterminism (Philosophy) Spatiotemporal processes Notions (Philosophy) Topological derivatives Hausdorff spaces Branching processes ab: Indeterminism, understood as a notion that an event may be continued in a few alternative ways, invokes the question what a region of chanciness looks like. We concern ourselves with its topological and spatiotemporal aspects, abstracting from the nature or mechanism of chancy processes. We first argue that the question arises in Montague-Lewis-Earman conceptualization of indeterminism as well as in the branching tradition of Prior, Thomason and Belnap. As the resources of the former school are not rich enough to study topological issues, we investigate the question in the framework of branching space-times of Belnap (Synthese 92:385-434, ). We introduce a topology on a branching model as well as a topology on a history in a branching model. We define light-cones and assume four conditions that guarantee the light-cones so defined behave like light-cones of physical space-times. From among various topological separation properties that are relevant to our question, we investigate the Hausdorff property. We prove that each history in a branching model satisfies the Hausdorff property. As for the satisfaction of the Hausdorff property in the entire branching model, we prove that it is related to the phenomenon of passive indeterminism, which we describe in detail. 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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