Journal article
Existence, mathematical nominalism, and meta-ontology: An objection to Azzouni on criteria for existence
- Abstract:
- Jody Azzouni argues that whilst it is indeterminate what the criteria for existence are, there is a criterion that has been collectively adopted to use ‘exist’ that we can employ to argue for positions in ontology. I raise and defend a novel objection to Azzouni: his view has the counterintuitive consequence that the facts regarding what exists can and will change when users of the word ‘exist’ change what criteria they associate with its usage. Considering three responses, I argue Azzouni has best reason to take one that ultimately renders unsuccessful his arguments against mathematical abstracta.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Publisher copy:
- 10.1093/philmat/nky006
Authors
- Publisher:
- Oxford University Press
- Journal:
- Philosophia Mathematica More from this journal
- Volume:
- 26
- Issue:
- 2
- Pages:
- 251-265
- Publication date:
- 2018-04-03
- Acceptance date:
- 2018-02-28
- DOI:
- EISSN:
-
1744-6406
- ISSN:
-
0031-8019
- Language:
-
English
- Keywords:
- Pubs id:
-
1078337
- Local pid:
-
pubs:1078337
- Deposit date:
-
2021-01-21
- ARK identifier:
Terms of use
- Copyright holder:
- Farbod Akhlaghi-Ghaffarokh
- Copyright date:
- 2018
- Rights statement:
- © The Author (2018). Published by Oxford University Press.
- Notes:
- This is the accepted manuscript version of the article. The final version is available online from Oxford University Press at: https://doi.org/10.1093/philmat/nky006
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