David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
Learn more about PhilPapers
Hume Studies 20 (1):85-101 (1994)
Throughout history, almost all mathematicians, physicists and philosophers have been of the opinion that space and time are infinitely divisible. That is, it is usually believed that space and time do not consist of atoms, but that any piece of space and time of non-zero size, however small, can itself be divided into still smaller parts. This assumption is included in geometry, as in Euclid, and also in the Euclidean and non- Euclidean geometries used in modern physics. Of the few who have denied that space and time are infinitely divisible, the most notable are the ancient atomists, and Berkeley and Hume. All of these assert not only that space and time might be atomic, but that they must be. Infinite divisibility is, they say, impossible on purely conceptual grounds.
|Categories||categorize this paper)|
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
|Through your library|
References found in this work BETA
No references found.
Citations of this work BETA
Graciela De Pierris (2012). Hume on Space, Geometry, and Diagrammatic Reasoning. Synthese 186 (1):169-189.
Similar books and articles
John Watson (1886). Kant on the Infinite Divisibility of Space. Journal of Speculative Philosophy 20 (2):219 - 221.
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.
Robert Fogelin (1988). Hume and Berkeley on the Proofs of Infinite Divisibility. Philosophical Review 97 (1):47-69.
Dale Jacquette (1994). Infinite Divisibility in Hume's First Enquiry. Hume Studies 20 (2):219-240.
Thomas Holden (2002). Infinite Divisibility and Actual Parts in Hume’s Treatise. Hume Studies 28 (1):3-25.
H. Mark Pressman (1997). Hume on Geometry and Infinite Divisibility in the Treatise. Hume Studies 23 (2):227-244.
Jeffrey Sanford Russell (2008). The Structure of Gunk: Adventures in the Ontology of Space. In Dean Zimmerman (ed.), Oxford Studies in Metaphysics. Oxford University Press.
Marina Frasca-Spada (1998). Space and the Self in Hume's Treatise. Cambridge University Press.
Emil Badici (2010). On the Compatibility Between Euclidean Geometry and Hume's Denial of Infinite Divisibility. Hume Studies 34 (2):231-244.
Added to index2009-01-28
Total downloads42 ( #47,540 of 1,410,123 )
Recent downloads (6 months)1 ( #177,589 of 1,410,123 )
How can I increase my downloads?