Echelbarger, Charles (Author)
European Legacy
Volume: 18
Pages: 432--443
Publication date: 2013
Language: English
Edition Details: Part of the Special Edition: “David Hume at 300: A Celebration; Part 1”.
In this essay, I argue that Hume's theory of Quantitative and Numerical Philosophical Relations can be interpreted in a way which allows mathematical knowledge to be about a body of objective and necessary truths, while preserving Hume's nominalism and the basic principles of his theory of ideas. Attempts are made to clear up a number of obscure points about Hume's claims concerning the abstract sciences of Arithmetic and Algebra by means of re-examining what he says and what he could comfortably have said about relations of qualitative resemblance.
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