On automorphism criteria for comparing amounts of mathematical structure.
Wilhelm (Forthcom Synth 199:6357–6369, 2021) has recently defended a criterion for comparing structure of mathematical objects, which he calls Subgroup. He argues that Subgroup is better than SYM ∗ , another widely adopted criterion. We argue that this is mistaken; Subgroup is strictly worse than SY...
| Publicado en: | Synthese Vol. 201; no. 6; pp. 1 - 15 |
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| Autores principales: | , , |
| Formato: | Artículo |
| Publicado: |
Springer Nature
Jun2023
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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=163935773&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 163935773 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 00397857 4LI jtl: Synthese issn: 00397857 maglogo: N pubinfo: dt: Jun2023 vid: 201 iid: 6 pid: 237 pub: Springer Nature artinfo: ui: 163935773 10.1007/s11229-023-04186-3 ppf: 1 ppct: 14 formats: fmt: – @attributes: type: T – @attributes: type: P size: 278KB tig: atl: On automorphism criteria for comparing amounts of mathematical structure. aug: au: Barrett, Thomas William Manchak, J. B. Weatherall, James Owen affil: Department of Philosophy, University of California, Santa Barbara, USA Department of Logic and Philosophy of Science, University of California, Irvine, USA sug: keyword: Equivalence Structure Symmetry ab: Wilhelm (Forthcom Synth 199:6357–6369, 2021) has recently defended a criterion for comparing structure of mathematical objects, which he calls Subgroup. He argues that Subgroup is better than SYM ∗ , another widely adopted criterion. We argue that this is mistaken; Subgroup is strictly worse than SYM ∗ . We then formulate a new criterion that improves on both SYM ∗ and Subgroup, answering Wilhelm’s criticisms of SYM ∗ along the way. We conclude by arguing that no criterion that looks only to the automorphisms of mathematical objects to compare their structure can be fully satisfactory. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Synthese is a copyright of Springer, 2023. All Rights Reserved. item: Synthese holder: Springer Nature dt: @attributes: year: 2023 holdings: @attributes: islocal: N |
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