Back to Search Start Over

The iterative solution to paradoxes for propositions.

Authors :
Whittle, Bruno
Source :
Philosophical Studies; Jun2023, Vol. 180 Issue 5/6, p1623-1650, 28p
Publication Year :
2023

Abstract

This paper argues that we should solve paradoxes for propositions (such as the Russell–Myhill paradox) in essentially the same way that we solve Russellian paradoxes for sets. That is, the standard, iterative approach to sets is extended to include properties, and then the resulting hierarchy of sets and properties is used to construct propositions. Propositions on this account are structured in the sense of mirroring the sentences that express them, and they would seem to serve the needs of philosophers of language and metaphysicians who rely on such propositions. The resulting account has limitations, comparable to those faced by the iterative approach to sets, but it is argued to be in important ways preferable to others that have been proposed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00318116
Volume :
180
Issue :
5/6
Database :
Complementary Index
Journal :
Philosophical Studies
Publication Type :
Academic Journal
Accession number :
164307485
Full Text :
https://doi.org/10.1007/s11098-022-01901-7