Comparing the structures of mathematical objects.
A popular method for comparing the structures of mathematical objects, which I call the 'subset approach', says that X has more structure than Y just in case X's automorphisms form a proper subset of Y's automorphisms. This approach is attractive, in part, because it seems to yield the right results...
| Publicado en: | Synthese Vol. 199; no. 3/4; pp. 6357 - 6370 |
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| Formato: | Artículo |
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Springer Nature
Dec2021
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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=154096728&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 154096728 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Dec2021 vid: 199 iid: 3/4 pid: 237 pub: Springer Nature artinfo: ui: 154096728 10.1007/s11229-021-03072-0 ppf: 6357 ppct: 13 formats: fmt: – @attributes: type: T – @attributes: type: P size: 245KB tig: atl: Comparing the structures of mathematical objects. aug: au: Wilhelm, Isaac affil: Rutgers University, 106 Somerset St., 5th Floor, 08901, New Brunswick, NJ, USA su: Automorphism groups Group theory Philosophy of science sug: subj: Automorphism groups Group theory Philosophy of science keyword: Metaphysics Philosophy of physics Structure ab: A popular method for comparing the structures of mathematical objects, which I call the 'subset approach', says that X has more structure than Y just in case X's automorphisms form a proper subset of Y's automorphisms. This approach is attractive, in part, because it seems to yield the right results in some comparisons of spacetime structure. But as I show, it yields the wrong results in a number of other cases. The problem is that the subset approach compares structure using automorphism sets. So a different approach is needed: structure should be compared using automorphism groups. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2021. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2021 holdings: @attributes: islocal: N |
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