Logical Pluralism via Mathematical Convergence.
We propose a novel approach to logical pluralism based on algebra-valued models of set theory, systematically demonstrating how both classical and non-classical set theories can be constructed within a unified mathematical framework. Our approach extends Shapiro's eclectic pluralism to the specific...
| Publicado en: | Erkenntnis Vol. 91; no. 3; pp. 1387 - 1418 |
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| Formato: | Artículo |
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Springer Nature
Mar2026
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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=191693409&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 191693409 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 01650106 5KZ jtl: Erkenntnis issn: 01650106 maglogo: N pubinfo: dt: Mar2026 vid: 91 iid: 3 pid: 237 pub: Springer Nature artinfo: ui: 191693409 10.1007/s10670-025-00954-4 ppf: 1387 ppct: 31 formats: fmt: – @attributes: type: T – @attributes: type: P size: 657KB tig: atl: Logical Pluralism via Mathematical Convergence. aug: au: Martinez, Santiago Jockwich affil: https://ror.org/01xtthb56 Department of Philosophy, Classics, History of Art and Ideas (IFIKK), University of Oslo, Blinderveien 31, 0371, Oslo, Norway su: Set theory Pluralism Limits (Mathematics) sug: subj: Set theory Pluralism Limits (Mathematics) keyword: Mathematical Sciences Pure Mathematics ab: We propose a novel approach to logical pluralism based on algebra-valued models of set theory, systematically demonstrating how both classical and non-classical set theories can be constructed within a unified mathematical framework. Our approach extends Shapiro's eclectic pluralism to the specific setting of algebra-valued models. This leads us to formulate two notions of logical pluralism: liberal pluralism, which recognizes as legitimate any logic that underpins a set theory capable of capturing a significant portion of mathematical practice, and strict pluralism, which further requires that the resulting set theory satisfies a convergence constraint, ensuring its mathematical expressiveness is comparable to that of classical set theory. We argue that this latter notion of pluralism represents a departure from previous accounts, as it is based on convergence rather than divergence among classical and non-classical mathematical theories. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y custom: Erkenntnis is a copyright of Springer, 2026. All Rights Reserved. item: Erkenntnis holder: Springer Nature dt: @attributes: year: 2026 holdings: @attributes: islocal: N |
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