De Morgan-Płonka Sums

Studia Logica:1-29 (forthcoming)
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Abstract

This paper develops De Morgan-Płonka sums, which generalise Płonka sums to contexts in which negation is not topically transparent but still respects De Morgan duality. We give a general theory of De Morgan-Płonka sums, on the model of the general theory of Płonka sums. Additionally, we describe free De Morgan-Płonka sums and apply our construction to give an algebraic proof of completeness for Kit Fine’s truthmaker semantics for Angell’s logic of analytic containment.

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References found in this work

Angellic Content.Kit Fine - 2016 - Journal of Philosophical Logic 45 (2):199-226.
Theories of Aboutness.Peter Hawke - 2018 - Australasian Journal of Philosophy 96 (4):697-723.
Introduction to *Aboutness*.Stephen Yablo - 2014 - In Aboutness. Oxford: Princeton University Press. pp. 1-6.

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