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Hume on Geometry and Infinite Divisibility in the Treatise

Hume on Geometry and Infinite Divisibility in the Treatise H. Mark Pressman Hume Studies, Volume 23, Number 2, November 1997, pp. 227-244 (Article) Published by Hume Society For additional information about this article https://muse.jhu.edu/article/382935/summary Access provided at 17 Feb 2020 18:24 GMT from JHU Libraries Hume Studies Volume XXIII, Number 2, November 1997, pp. 227-244 Hume on Geometry and Infinite Divisibility in the Treatise H. MARK PRESSMAN Scholars have recognized that in the Treatise "Hume seeks to find a foundation for geometry in sense-experience."1 In this essay, I examine to what extent Hume succeeds in his attempt to ground geometry visually. I argue that the geometry Hume describes in the Treatise faces a serious set of problems. Geometric Lines Hume maintains that ideas "are images" (T 6) which may be called up "when I shut my eyes" (T 3). "That we may fix the meaning of a word, figure," according to Hume, "we may revolve in our mind the ideas of circles, squares, parallelograms, triangles of different sizes and proportions, and may not rest on one image or idea" (T 22). As Arthur Pap notes, "'Idea' is in Hume's usage synonymous with 'mental image'." D.C.G. MacNabb also notes that "Hume thought of ideas as images, and primarily as http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Hume Studies Hume Society

Hume on Geometry and Infinite Divisibility in the Treatise

Hume Studies , Volume 23 (2) – Jan 26, 2011

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Publisher
Hume Society
ISSN
1947-9921

Abstract

H. Mark Pressman Hume Studies, Volume 23, Number 2, November 1997, pp. 227-244 (Article) Published by Hume Society For additional information about this article https://muse.jhu.edu/article/382935/summary Access provided at 17 Feb 2020 18:24 GMT from JHU Libraries Hume Studies Volume XXIII, Number 2, November 1997, pp. 227-244 Hume on Geometry and Infinite Divisibility in the Treatise H. MARK PRESSMAN Scholars have recognized that in the Treatise "Hume seeks to find a foundation for geometry in sense-experience."1 In this essay, I examine to what extent Hume succeeds in his attempt to ground geometry visually. I argue that the geometry Hume describes in the Treatise faces a serious set of problems. Geometric Lines Hume maintains that ideas "are images" (T 6) which may be called up "when I shut my eyes" (T 3). "That we may fix the meaning of a word, figure," according to Hume, "we may revolve in our mind the ideas of circles, squares, parallelograms, triangles of different sizes and proportions, and may not rest on one image or idea" (T 22). As Arthur Pap notes, "'Idea' is in Hume's usage synonymous with 'mental image'." D.C.G. MacNabb also notes that "Hume thought of ideas as images, and primarily as

Journal

Hume StudiesHume Society

Published: Jan 26, 2011

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