Werner, Jonas (2023). A Note on von Neumann Ordinals and Dependence. Philosophia mathematica, 31(2), pp. 268-276. Oxford University Press 10.1093/philmat/nkad007
Full text not available from this repository. (Request a copy)This note defends the reduction of ordinals to pure sets against an argument put
forward by Beau Madison Mount. In the first part I will defend the claim that
dependence simpliciter can be reduced to immediate dependence and define a
notion of predecessor dependence. In the second part I will provide and defend
a way to model the dependence profile of ordinals akin to Mount’s proposal
in terms of immediate dependence and predecessor dependence. I furthermore
show that my alternative dependence profile allows us to single out the reduction
of ordinals to von Neumann ordinals as the only viable set-theoretic reduction.
Item Type: |
Journal Article (Original Article) |
|---|---|
Division/Institute: |
06 Faculty of Humanities > Department of Art and Cultural Studies > Institute of Philosophy 06 Faculty of Humanities > Department of Art and Cultural Studies > Institute of Philosophy > Theoretical Philosophy |
UniBE Contributor: |
Werner, Jonas |
Subjects: |
100 Philosophy 100 Philosophy > 110 Metaphysics |
ISSN: |
1744-6406 |
Publisher: |
Oxford University Press |
Language: |
English |
Submitter: |
Jonas Werner |
Date Deposited: |
27 Mar 2023 14:58 |
Last Modified: |
16 Jul 2023 02:20 |
Publisher DOI: |
10.1093/philmat/nkad007 |
URI: |
https://boris.unibe.ch/id/eprint/180726 |
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