On Stalnaker’s Simple Theory of Propositions

Journal article

Fritz, Peter. (2021). 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
Year2021
JournalJournal of Philosophical Logic
Journal citation50, pp. 1-31
PublisherSpringer
ISSN1573-0433
Digital Object Identifier (DOI)https://doi.org/10.1007/s10992-020-09557-6
Scopus EID2-s2.0-85086703070
Open accessPublished as green open access
Page range1-31
Author's accepted manuscript
License
All rights reserved
File Access Level
Open
Publisher's version
License
All rights reserved
File Access Level
Controlled
Output statusPublished
Publication dates
Online19 Jun 2020
Publication process dates
Accepted08 Apr 2020
Deposited16 Apr 2021
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