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On Stalnaker’s Simple Theory of Propositions

Fritz, Peter
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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.
Keywords
propositions, consistency, boolean algebras, Robert Stalnaker
Date
2021
Type
Journal article
Journal
Journal of Philosophical Logic
Book
Volume
50
Issue
Page Range
1-31
Article Number
ACU Department
Dianoia Institute of Philosophy
Faculty of Theology and Philosophy