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Hume's theory of space and time in its sceptical context

In David Fate Norton & Jacqueline Taylor (eds.), The Cambridge Companion to Hume. New York: Cambridge University Press. pp. 105-146 (1993)

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  1. David Hume e o hiato entre o ponto e a linha: os princípios da dimensão espacial (3rd edition).Marcos César Seneda - 2021 - Principia: An International Journal of Epistemology 25:515-538.
    The aim of this paper is to present the copy principle from execution of the principle of separability for the purpose of elucidating the discussions conducted by Hume in understanding the composition of space and its implications for the sciences that operate with spatial constructions. The particular epistemic gain here is to do this within a model of empiricism. Given that there are several irregularities in the manner of analyzing a complex and extracting simple elements from it, as will be (...)
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  • Hume against the Geometers.Dan Kervick -
    In the Treatise of Human Nature, David Hume mounts a spirited assault on the doctrine of the infinite divisibility of extension, and he defends in its place the contrary claim that extension is everywhere only finitely divisible. Despite this major departure from the more conventional conceptions of space embodied in traditional geometry, Hume does not endorse any radical reform of geometry. Instead Hume espouses a more conservative approach, claiming that geometry fails only “in this single point” – in its purported (...)
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  • Hume's Perceptual Relationism.Dan Kervick - 2016 - Hume Studies 42 (1 & 2):61-87.
    My topic in this paper will be Hume’s claim that we have no idea of a vacuum. I offer a novel interpretation of Hume’s account of our ideas of extension that makes it clear why those ideas cannot include any ideas of vacuums, and I distinguish my interpretation from prominent readings offered by other Hume scholars. An upshot of Hume’s account, I will argue, is his commitment to a remarkable and distinctly Humean view I call “perceptual relationism.” Perceptual relationism is (...)
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  • Standards of equality and Hume's view of geometry.Emil Badici - 2011 - Pacific Philosophical Quarterly 92 (4):448-467.
    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 (...)
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  • Hume on the Unity of Determinations of Extension.Jani Hakkarainen - 2019 - History of Philosophy & Logical Analysis 22 (1):219–233.
    We do not fully understand Hume’s account of space if we do not understand his view of determinations of extension, which is too much ignored a topic. In this paper, I argue for an interpretation that determinations of extension are unities in Hume’s view: single beings in addition to their components. This realist reading is reasonable on both textual and philosophical grounds. There is strong textual evidence for it and no textual reason to reject it. Realism makes perfect sense of (...)
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  • Hume on Spatial Properties.Jani Hakkarainen - 2015 - In Ghislain Guigon & Gonzalo Rodriguez-Pereyra (eds.), Nominalism About Properties: New Essays. New York, NY: Routledge. pp. 79-94.
    I defend a reading of David Hume’s nominalism that he comes close to Keith Campbell's contemporary trope theory in the specific case of spatial properties. I argue that Hume's view should be construed as classifying spatial properties as Campbellian tropes (particular properties): abstract, particular, determinate and qualitatively simple properties. This has implications for reconstructing Hume's answer to the problem of universals. I argue that Hume’s account of objects resembling each other in respect of spatial properties is grounded in the resemblance (...)
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  • Inferences, External Objects, and the Principle of Contradiction: Hume's Adequacy Principle in Part II of the Treatise.Wilson Underkuffler - 2016 - Florida Philosophical Review 16 (1):23-40.
    This paper considers whether elements of T 1.2 Of the Ideas of Space and Time in Hume’s Treatise is inconsistent with skepticism regarding the external world in T 1.4.2 Of Scepticism with regard to the Senses. This apparent tension vexes commentators, and efforts to resolve it drives the recent scholarship on this section of Hume’s Treatise. To highlight this tension I juxtapose Hume’s “Adequacy Principle” with what I call his “skeptical causal argument” in T 1.4.2. The Adequacy Principle appears to (...)
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  • Hume’s System of Space and Time.Angela M. Coventry - 2010 - History of Philosophy & Logical Analysis 13 (1):76-89.
    Hume’s account of the origin and nature of our ideas of space and time is generally thought to be the least satisfactory part of his empiricist system of philosophy. The main reason is internal in that the account is judged to be inconsistent with Hume’s fundamental principle for the relationship between senses and cognition, the copy principle. This paper defends Hume against the inconsistency objection by offering a new systematic interpretation of Hume on space and time and illuminating more generally (...)
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