I—Time, Topology and Physical Geometry.
The standard mathematical account of the sub-metrical geometry of a space employs topology, whose foundational concept is the open set. This proves to be an unhappy choice for discrete spaces, and offers no insight into the physical origin of geometrical structure. I outline an alternative, the Theo...
| Published in: | Aristotelian Society Supplementary Volume Vol. 84; no. 1; pp. 63 - 79 |
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| Format: | Article |
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Oxford University Press / USA
2010
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| Online Access: | View this record in EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=50868076&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 50868076 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 03097013 D8W jtl: Aristotelian Society Supplementary Volume issn: 03097013 maglogo: N pubinfo: dt: 2010 vid: 84 iid: 1 pid: 10398 pub: Oxford University Press / USA artinfo: ui: 50868076 10.1111/j.1467-8349.2010.00186.x ppf: 63 ppct: 16 formats: tig: atl: I—Time, Topology and Physical Geometry. aug: au: Maudlin, Tim affil: Department of Philosophy, Rutgers University, 1 Seminary Place, New Brunswick, NJ 08901, USA. su: Spacetime Topology Mathematical analysis Hyperspace Fourth dimension sug: subj: Spacetime Topology Mathematical analysis Hyperspace Fourth dimension ab: The standard mathematical account of the sub-metrical geometry of a space employs topology, whose foundational concept is the open set. This proves to be an unhappy choice for discrete spaces, and offers no insight into the physical origin of geometrical structure. I outline an alternative, the Theory of Linear Structures, whose foundational concept is the line. Application to Relativistic space-time reveals that the whole geometry of space-time derives from temporal structure. In this sense, instead of spatializing time, Relativity temporalizes space. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2010 holdings: @attributes: islocal: N |
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