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Agglomerative Algebras

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Abstract

This paper investigates a generalization of Boolean algebras which I call agglomerative algebras. It also outlines two conceptions of propositions according to which they form an agglomerative algebra but not a Boolean algebra with respect to conjunction and negation.

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  • 14 October 2020

    The original version of the article unfortunately contained a few mistakes.

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Acknowledgments

I am grateful to Cian Dorr, Peter Fritz, Harvey Lederman, and Steve Yablo for their extremely helpful comments on earlier versions of this paper, to Branden Fitelson for introducing me to Prover9, and to Arc Kocurek for helping me draw the figure accompanying Example 61.

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  1. University of Southern California, 3709 Trousdale Parkway, Los Angeles, CA, 90089, USA

    Jeremy Goodman

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  1. Jeremy Goodman
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Correspondence to Jeremy Goodman.

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Goodman, J. Agglomerative Algebras. J Philos Logic 48, 631–648 (2019). https://doi.org/10.1007/s10992-018-9488-8

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  • DOI: https://doi.org/10.1007/s10992-018-9488-8

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