Mathematical Rigor in Physics: Putting Exact Results in Their Place.
The present paper examines the role of exact results in the theory of many-body physics, and specifically the example of the Mermin-Wagner theorem, a rigorous result concerning the absence of phase transitions in low-dimensional systems. While the theorem has been shown to hold for a wide range of m...
| Publicado en: | Philosophy of Science Vol. 72; no. 5; pp. 723 - 739 |
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| Formato: | Artículo |
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Cambridge University Press
Dec2005
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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=24277097&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 24277097 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00318248 PSC jtl: Philosophy of Science issn: 00318248 maglogo: N pubinfo: dt: Dec2005 vid: 72 iid: 5 pid: 15979 pub: Cambridge University Press artinfo: ui: 24277097 10.1086/508110 ppf: 723 ppct: 16 formats: fmt: @attributes: type: P size: 182KB tig: atl: Mathematical Rigor in Physics: Putting Exact Results in Their Place. aug: au: Gelfert, Axel affil: Department of Philosophy, National University of Singapore, 3 Arts Link, Singapore 117570 su: Mathematics Physics Physical sciences Scientists Many-body problem Analytical mechanics sug: subj: Mathematics Physics Physical sciences Scientists Many-body problem Analytical mechanics ab: The present paper examines the role of exact results in the theory of many-body physics, and specifically the example of the Mermin-Wagner theorem, a rigorous result concerning the absence of phase transitions in low-dimensional systems. While the theorem has been shown to hold for a wide range of many-body models, it is frequently 'violated' by results derived from the same models using numerical techniques. This raises the question of how scientists regulate their theoretical commitments in such cases, given that the models, too, are often described as approximations to the underlying 'full' many-body problem. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Copyright of Philosophy of Science is the property of Cambridge University Press and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. item: Philosophy of Science holder: Cambridge University Press dt: @attributes: year: 2005 holdings: @attributes: islocal: N |
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