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Infinite Divisibility in Hume's Treatise

In Livingston and King (ed.), Rivista di Storia Della Filosofia. pp. 257--69 (1976)

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  1. Deleuze on Intensity Differentials and the Being of the Sensible.Marc Rölli - 2009 - Deleuze and Guatarri Studies 3 (1):26-53.
    The present essay on the being of the sensible investigates the individuation of intensity differentials. This is Deleuze's theme in the fifth chapter of Difference and Repetition, where he places individuation in the context of his ‘transcendental empiricism’. The mechanisms of subjectivation are conceived as spatially-temporally determined actualisations (of the virtual) whose implicit intensity relations are neither accessible empirically nor are they governed by transcendental conditions (in the conventional sense). Central to the discussion is the distinction, stemming from Kant, between (...)
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  • Perceiving Necessity.Catherine Legg & James Franklin - 2017 - Pacific Philosophical Quarterly 98 (3).
    In many diagrams one seems to perceive necessity – one sees not only that something is so, but that it must be so. That conflicts with a certain empiricism largely taken for granted in contemporary philosophy, which believes perception is not capable of such feats. The reason for this belief is often thought well-summarized in Hume's maxim: ‘there are no necessary connections between distinct existences’. It is also thought that even if there were such necessities, perception is too passive or (...)
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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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  • Hume on space, geometry, and diagrammatic reasoning.Graciela De Pierris - 2012 - Synthese 186 (1):169-189.
    Hume’s discussion of space, time, and mathematics at T 1.2 appeared to many earlier commentators as one of the weakest parts of his philosophy. From the point of view of pure mathematics, for example, Hume’s assumptions about the infinite may appear as crude misunderstandings of the continuum and infinite divisibility. I shall argue, on the contrary, that Hume’s views on this topic are deeply connected with his radically empiricist reliance on phenomenologically given sensory images. He insightfully shows that, working within (...)
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