Standards of equality and Hume's view of geometry
Pacific Philosophical Quarterly 92 (4):448-467 (2011)
| Abstract | It has been argued that there is a genuine conflict between the views of geometry defended by Hume in the Treatise and in the Enquiry: while the former work attributes to geometry a different status from that of arithmetic and algebra, the latter attempts to restore its status as an exact and certain science. A closer reading of Hume shows that, in fact, there is no conflict between the two works with respect to geometry. The key to understanding Hume's view of geometry is the distinction he draws between two standards of equality in extension | |||||||||
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Emil Badici (2010). On the Compatibility Between Euclidean Geometry and Hume's Denial of Infinite Divisibility. Hume Studies 34 (2):231-244.
Vadim Batitsky (1998). From Inexactness to Certainty: The Change in Hume's Conception of Geometry. Journal for General Philosophy of Science 29 (1):1-20.
Graciela De Pierris (2012). Hume on Space, Geometry, and Diagrammatic Reasoning. Synthese 186 (1):169-189.
Jan Platvono (1997). Formalization of Hilbert's Geometry of Incidence and Parallelism. Synthese 110 (1):127-141.
Jan von Plato (1997). Formalization of Hilbert's Geometry of Incidence and Parallelism. Synthese 110 (1):127-141.
H. Mark Pressman (1997). Hume on Geometry and Infinite Divisibility in the Treatise. Hume Studies 23 (2):227-244.
Gordon Belot (2003). Remarks on the Geometry of Visibles. Philosophical Quarterly 53 (213):581–586.
Antony Flew (1982). Hume on Space and Geometry. Hume Studies 8 (1):62-65.
Rosemary Newman (1982). Hume on Space and Geometry. Hume Studies 8 (1):1--31.
Lorne Falkenstein (2000). Hume's Finite Geometry. Hume Studies 26 (1):183-185.
René Jagnow (2006). Edmund Husserl on the Applicability of Formal Geometry. In Emily Carson & Renate Huber (eds.), Intuition and the Axiomatic Method. Springer.
Marina Frasca-Spada (1998). Space and the Self in Hume's Treatise. Cambridge University Press.
Steven H. Cullinane (2012). Notes on Groups and Geometry, 1978-1986. Internet Archive.
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