|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.|
|Keywords||No keywords specified (fix it)|
|Categories||No categories specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Charles B. Daniels (1987). “The Story Says That” Operator in Story Semantics. Studia Logica 46 (1):73 - 86.
Peter Pagin (2001). A Quinean Definition of Synonymy. Erkenntnis 55 (1):7-32.
Morgan Luck (2003). In Defence of Mumford's Definition of a Miracle. Religious Studies 39 (4):465-469.
Peter J. Taylor (1994). Shifting Frames: From Divided to Distributed Psychologies of Scientific Agents. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1994:304 - 310.
Alexander S. Karpenko (1989). Characterization of Prime Numbers in Łukasiewicz's Logical Matrix. Studia Logica 48 (4):465 - 478.
Scott Soames (2008). No Class: Russell on Contextual Definition and the Elimination of Sets. Philosophical Studies 139 (2):213 - 218.
Kevin C. Klement, Russell's Paradox. Internet Encyclopedia of Philosophy.
G. Y. Sher (1997). Partially-Ordered (Branching) Generalized Quantifiers: A General Definition. Journal of Philosophical Logic 26 (1):1-43.
Added to index2009-01-28
Total downloads4 ( #178,473 of 548,984 )
Recent downloads (6 months)0
How can I increase my downloads?