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Sameness
Stockholm University, Faculty of Humanities, Department of Philosophy.
2018 (English)In: Feferman on foundations: Logic, Mathematics, Philosophy / [ed] Gerhard Jäger, Wilfried Sieg, Berlin: Springer, 2018, p. 449-467Chapter in book (Refereed)
Abstract [en]

I attempt an explication of what it means for an operation across domains to be the same on all domains, an issue that (Feferman, S.: Logic, logics and logicism. Notre Dame J. Form. Log. 40, 31–54 (1999)) took to be central for a successful delimitation of the logical operations. Some properties that seem strongly related to sameness are examined, notably isomorphism invariance, and sameness under extensions of the domain. The conclusion is that although no precise criterion can satisfy all intuitions about sameness, combining the two properties just mentioned yields a reasonably robust and useful explication of sameness across domains.

Place, publisher, year, edition, pages
Berlin: Springer, 2018. p. 449-467
Series
Outstanding Contributions to Logic, ISSN 2211-2758, E-ISSN 2211-2766 ; 13
Keywords [en]
logical constant, constant operation, isomorphism invariance, extension
National Category
Philosophy Algebra and Logic
Research subject
Theoretical Philosophy
Identifiers
URN: urn:nbn:se:su:diva-162325DOI: 10.1007/978-3-319-63334-3_16ISBN: 978-3-319-63332-9 (print)OAI: oai:DiVA.org:su-162325DiVA, id: diva2:1265611
Available from: 2018-11-25 Created: 2018-11-25 Last updated: 2018-11-26Bibliographically approved

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