Date of Original Version

11-21-1998

Type

Article

Published In

Journal of Symbolic Logic 65, 3 (2000): 1168-1182.

Rights Management

All Rights Reserved

Abstract or Table of Contents

Using recent results in topos theory, two systems of higher-order logic are shown to be complete with respect to sheaf models over topological spaces-so-called "topological semantics". The first is classical higher-order logic, with relational quantification of finitely high type; the second system is a predicative fragment thereof with quantification over functions between types, but not over arbitrary relations. The second theorem applies to intuitionistic as well as classical logic.

Included in

Philosophy Commons

Share

COinS