Completeness in the theory of properties, relations, and propositions

Journal of Symbolic Logic 48 (2):415-426 (1983)

Authors
George Bealer
Yale University
Abstract
Higher-order theories of properties, relations, and propositions are known to be essentially incomplete relative to their standard notions of validity. It turns out that the first-order theory of PRPs that results when first-order logic is supplemented with a generalized intensional abstraction operation is complete. The construction involves the development of an intensional algebraic semantic method that does not appeal to possible worlds, but rather takes PRPs as primitive entities. This allows for a satisfactory treatment of both the modalities and the propositional attitudes, and it suggests a general strategy for developing a comprehensive treatment of intensional logic
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.2307/2273559
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

References found in this work BETA

Intensional Isomorphism and Identity of Belief.Alonzo Church - 1954 - Philosophical Studies 5 (5):65 - 73.
Theories of Properties, Relations, and Propositions.George Bealer - 1979 - Journal of Philosophy 76 (11):634-648.

Add more references

Citations of this work BETA

Fine-Grained Type-Free Intensionality.George Bealer - 1989 - In Gennero Chierchia, Barbara H. Partee & Raymond Turner (eds.), Properties, Types, and Meaning, Volume 1. Kluwer Academic Publishers. pp. 177-230.
Property Theories.George Bealer & Uwe Monnich - 2003 - In Dov Gabbay & Frans Guenthner (eds.), Handbook of Philosophical Logic, Volume 10. Kluwer Academic Publishers. pp. 143-248.
Possible Worlds for Modal Primitivists.Louis deRosset - 2014 - Journal of Philosophical Logic 43 (1):109-131.
Property Theories.George Bealer & Uwe Mönnich - 1989 - In Dov Gabbay & Franz Guenthner (eds.), Handbook of Philosophical Logic, Volume IV. Kluwer Academic Publishers. pp. 133-251.

View all 7 citations / Add more citations

Similar books and articles

Analytics

Added to PP index
2009-01-28

Total views
256 ( #26,926 of 2,286,101 )

Recent downloads (6 months)
48 ( #19,035 of 2,286,101 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature