Journal of Philosophical Logic 50 (1):1-31 (2021)

Authors
Peter Fritz
Australian Catholic University
Abstract
Robert Stalnaker recently proposed a simple theory of propositions using the notion of a set of propositions being consistent, and conjectured that this theory is equivalent to the claim that propositions form a complete atomic Boolean algebra. This paper clarifies and confirms this conjecture. Stalnaker also noted that some of the principles of his theory may be given up, depending on the intended notion of proposition. This paper therefore also investigates weakened constraints on consistency and the corresponding classes of Boolean algebras.
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DOI 10.1007/s10992-020-09557-6
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References found in this work BETA

Possible Worlds.Robert Stalnaker - 1976 - Noûs 10 (1):65-75.
Lattice Theory.Garrett Birkhoff - 1950 - Journal of Symbolic Logic 15 (1):59-60.
Introduction to Lattices and Order.B. A. Davey & H. A. Priestly - 2002 - Cambridge University Press.
Set Theory.T. Jech - 2005 - Bulletin of Symbolic Logic 11 (2):243-245.

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