John Venn's Hypothetical Infinite Frequentism and Logic

History and Philosophy of Logic 35 (3):248-271 (2014)
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Abstract

The goal of this paper is to provide a detailed reading of John Venn's Logic of Chance as a work of logic or, more specifically, as a specific portion of the general system of so-called ‘material’ logic developed in his Principles of Empirical or Inductive Logic and to discuss it against the background of his Boolean-inspired views on the connection between logic and mathematics. It is by means of this situating of Venn 1866 [The Logic of Chance. An Essay on the Foundations and Province of the Theory of Probability. With Especial Reference to Its Application to Moral and Social Science, London: Macmillan] within the entirety of his oeuvre that it becomes both possible to revisit and necessary to re-articulate its place in the history of the frequency interpretation of probability. For it is clear that if Venn's approach to logic not only allowed him to establish its foundations on the basis of a process of idealization and define it as consisting of so-called hypothetical infinite series, bu..

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Lukas M. Verburgt
University of Amsterdam

Citations of this work

Pragmatism at Cambridge, England before 1900.Lukas M. Verburgt - 2021 - British Journal for the History of Philosophy 29 (1):84-105.

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References found in this work

A treatise on probability.John Maynard Keynes - 1921 - Mineola, N.Y.: Dover Publications.
A System of Logic, Ratiocinative and Inductive.John Stuart Mill - 1843 - New York and London,: University of Toronto Press. Edited by J. Robson.

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