Psychology and Time in Boole’s Logic

History and Philosophy of Logic 44 (1):1-15 (2023)
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Abstract

In the Laws of Thought, Boole establishes a theory of secondary propositions based upon the notion of time. This temporal interpretation of secondary propositions has historically been met with wide disapproval and is usually dismissed in the modern literature as a philosophical non-starter. What was Boole thinking? This paper attempts to give an answer to this question. Specifically, it provides an account according to which Boole’s temporal interpretation follows from his psychologistic conception of logic, in addition to certain background assumptions regarding the psychological necessity of the concept of time. Once Boole’s psychological premises are laid bare, it becomes clearer how he might have viewed the temporal interpretation to be an essential feature of his theory of secondary propositions.

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Andrew Stone
New York University

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References found in this work

The Development of Logic.William Kneale & Martha Kneale - 1962 - Studia Logica 15:308-310.
Time and modality.A. N. Prior - 1957 - Revue Philosophique de la France Et de l'Etranger 148:114-115.
Psychologism: A Case Study in the Sociology of Philosophical Knowledge.Martin Kusch - 1997 - British Journal for the Philosophy of Science 48 (3):439-443.
Symbolic Logic.John Venn - 1881 - Mind 6 (24):574-581.
The Mathematical Analysis of Logic.George Boole - 1950 - Philosophy 25 (95):350-353.

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