Properties, plurals and paradox

It has been argued that an objectual semantics for plurals falls victim to Russell’s paradox, and that a nominalistic semantics should therefore be preferred (Boolos 1984); similar considerations have sometimes been extended to other types of abstract reference, in particular to property talk. We suggest that this line of argument is mistaken: deeply entrenched features of ordinary language guarantee that property and plural talk do give rise to paradoxes. In the case of properties, the grammar of English is untyped, which makes it straightforward to generate a paradox. In the case of plurals, it is badly typed, which means that paradoxes can be generated, but in complicated ways. In both cases, the problem is not to avoid paradoxes but to model them. We conclude that an objectual semantics is entirely in order, but that it must be developed within a trivalent semantics suited to a paradoxical object language.
Keywords No keywords specified (fix it)
Categories (categorize this paper)
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive

Upload a copy of this paper     Check publisher's policy     Papers currently archived: 28,840
External links

Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

No references found.

Add more references

Citations of this work BETA

No citations found.

Add more citations

Similar books and articles

Monthly downloads

Added to index


Total downloads

37 ( #140,790 of 2,177,988 )

Recent downloads (6 months)

2 ( #166,811 of 2,177,988 )

How can I increase my downloads?

My notes
Sign in to use this feature

There  are no threads in this forum
Nothing in this forum yet.

Other forums