A relational formulation of the theory of types

Linguistics and Philosophy 12 (3):325 - 346 (1989)
Abstract
This paper developes a relational---as opposed to a functional---theory of types. The theory is based on Hilbert and Bernays' eta operator plus the identity symbol, from which Church's lambda and the other usual operators are then defined. The logic is intended for use in the semantics of natural language.
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References found in this work BETA
Günter Asser (1957). Theorie der Logischen Auswahlfunktionen. Mathematical Logic Quarterly 3 (1‐5):30-68.
Jon Barwise (1981). Scenes and Other Situations. Journal of Philosophy 78 (7):369-397.
Jon Barwise & John Perry (1981). Situations and Attitudes. Journal of Philosophy 78 (11):668-691.

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