On Stalnaker’s Simple Theory of Propositions

Journal article


Fritz, Peter. (2020). On Stalnaker’s Simple Theory of Propositions. Journal of Philosophical Logic. 50, pp. 1-31. https://doi.org/10.1007/s10992-020-09557-6
AuthorsFritz, Peter
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.

Keywordspropositions; consistency; boolean algebras; Robert Stalnaker
Year2020
JournalJournal of Philosophical Logic
Journal citation50, pp. 1-31
PublisherSpringer International Publishing
ISSN1573-0433
Digital Object Identifier (DOI)https://doi.org/10.1007/s10992-020-09557-6
Scopus EID2-s2.0-85086703070
Publisher's version
File Access Level
Controlled
Publication process dates
Deposited16 Apr 2021
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https://acuresearchbank.acu.edu.au/item/8vx37/on-stalnaker-s-simple-theory-of-propositions

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