A relational formulation of the theory of types

Linguistics and Philosophy 12 (3):325 - 346 (1989)
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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DOI 10.1007/BF00635639
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Jon Barwise & John Perry (1981). Situations and Attitudes. Journal of Philosophy 78 (11):668-691.
Richard Montague (1975). Formal Philosophy. Canadian Journal of Philosophy 4 (3):573-578.

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