Journal article
Two conceptions of absolute generality
- Abstract:
- What is absolutely unrestricted quantification? We distinguish two theoretical roles and identify two conceptions of absolute generality: maximally strong generality and maximally inclusive generality. We also distinguish two corresponding kinds of absolute domain. A maximally strong domain contains every potential counterexample to a generalisation. A maximally inclusive domain is such that no domain extends it. We argue that both conceptions of absolute generality are legitimate and investigate the relations between them. Although these conceptions coincide in standard settings, we show how they diverge under more complex assumptions about the structure of meaningful predication, such as cumulative type theory. We conclude by arguing that maximally strong generality is the more theoretically valuable conception.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
Actions
Access Document
- Files:
-
-
(Preview, Version of record, pdf, 628.5KB, Terms of use)
-
- Publisher copy:
- 10.1007/s11098-022-01908-0
Authors
- Publisher:
- Springer
- Journal:
- Philosophical Studies More from this journal
- Volume:
- 180
- Issue:
- 5
- Pages:
- 1601-1621
- Publication date:
- 2023-03-06
- Acceptance date:
- 2022-12-04
- DOI:
- EISSN:
-
1573-0883
- ISSN:
-
0031-8116
- Language:
-
English
- Keywords:
- Pubs id:
-
1311346
- Local pid:
-
pubs:1311346
- Deposit date:
-
2022-12-05
Terms of use
- Copyright holder:
- Florio and Jones
- Copyright date:
- 2023
- Rights statement:
- © The Author(s) 2023. Open Access: This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder.
- Licence:
- CC Attribution (CC BY)
If you are the owner of this record, you can report an update to it here: Report update to this record