Hyperdoctrine Semantics: An Invitation

In The Logica Yearbook, 2021. College Publications. pp. 115-134 (2022)
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Abstract

Categorial logic, as its name suggests, applies the techniques and machinery of category theory to topics traditionally classified as part of logic. We claim that these tools deserve attention from a greater range of philosophers than just the mathematical logicians. We support this claim with an example. In this paper we show how one particular tool from categorial logic---hyperdoctrines---suggests interesting metaphysics. Hyperdoctrines can provide semantics for quantified languages, but this account of quantification suggests a metaphysical picture quite different from the one suggested by standard model-theoretic semantics.

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Author Profiles

Shay Logan
Kansas State University
Graham Leach-Krouse
Kansas State University

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References found in this work

General semantics.David K. Lewis - 1970 - Synthese 22 (1-2):18--67.
Models and reality.Hilary Putnam - 1980 - Journal of Symbolic Logic 45 (3):464-482.
The Problem of Absolute Universality.Charles Parsons - 2006 - In Agustín Rayo & Gabriel Uzquiano (eds.), Absolute Generality. Oxford University Press. pp. 203--19.

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