32 Peter M. Sullivan
Abstract
Define ‘het’ as a predicate that truly applies to itself if and only if it does not truly apply to itself and which also truly applies to any predicate that does not truly apply to its own name. We know that the attempted definition of ‘hes’ is a failure, and so a fortiori is that of ‘het’. Similarly, there is no Qussell class which contains itself as a member if and only if it does not contain itself as a member, so a fortiori there is no Russell Class which contains itself as a member if and only if it does not contain itself as a member and which also contains all and only non-self-membered classes (such as the class of dogs). The second conjunct in both the definition of ‘het’ and of the Russell class cannot revive a definition doomed to failure. Likewise, the ‘definition’ of n as ‘n > 1 iff n < 1’ fails, and the attempted definition of m as ‘m > 1 iff m < 1 and m is prime’ is hopeless too; its final clause buys it no respectability.Author's Profile
My notes
Similar books and articles
“The story says that” operator in story semantics.Charles B. Daniels - 1987 - Studia Logica 46 (1):73-86.
No class: Russell on contextual definition and the elimination of sets.Scott Soames - 2008 - Philosophical Studies 139 (2):213 - 218.
Characterization of prime numbers in łukasiewicz's logical matrix.Alexander S. Karpenko - 1989 - Studia Logica 48 (4):465 - 478.
Shifting Frames: From Divided to Distributed Psychologies of Scientific Agents.Peter J. Taylor - 1994 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:304-310.
In defence of Mumford's definition of a miracle.Morgan Luck - 2003 - Religious Studies 39 (4):465-469.
Partially-ordered (branching) generalized quantifiers: A general definition.Gila Sher - 1997 - Journal of Philosophical Logic 26 (1):1-43.
Analytics
Added to PP
2009-01-28
Downloads
52 (#228,181)
6 months
1 (#451,971)
2009-01-28
Downloads
52 (#228,181)
6 months
1 (#451,971)
Historical graph of downloads