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Hybrid Type Theory: A Quartet in Four Movements

Author(s): Carlos Areces | Patrick Blackburn | Antonia Huertas | María Manzano

Journal: Principia : an International Journal of Epistemology
ISSN 1414-4247

Volume: 15;
Issue: 2;
Start page: 225;
Date: 2011;
Original page

Keywords: Tense logic | intensional logic | type theory | modal logic | completeness

This paper sings a song — a song created by bringing together the work of four great names in the history of logic: Hans Reichenbach, Arthur Prior, Richard Montague, and Leon Henkin. Although the work of the first three of these authors have previously been combined, adding the ideas of Leon Henkin is the addition required to make the combination work at the logical level. But the present paper does not focus on the underlying technicalities (these can be found in Areces, Blackburn, Huertas, and Manzano [to appear]) rather it focusses on the underlying instruments, and the way they work together. We hope the reader will be tempted to sing a long.
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