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Hume on Space and Geometry

Hume Studies 7 (1):1-31 (1981)

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  1. (1 other version)Hume and the Perception of Spatial Magnitude.Edward Slowik - 2004 - Canadian Journal of Philosophy 34 (3):355 - 373.
    This paper investigates Hume's theory of the perception of spatial magnitude or size as developed in the _Treatise<D>, as well as its relation to his concepts of space and geometry. The central focus of the discussion is Hume's espousal of the 'composite' hypothesis, which holds that perceptions of spatial magnitude are composed of indivisible sensible points, such that the total magnitude of a visible figure is a derived by-product of its component parts. Overall, it will be argued that a straightforward (...)
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  • 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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  • Some features of Hume's conception of space.Marina Frasca Spada - 1990 - Studies in History and Philosophy of Science Part A 21 (3):371-411.
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  • Hume on the Doctrine of Infinite Divisibility: A Matter of Clarity and Absurdity.Wilson H. Underkuffler - 2018 - Dissertation, University of South Florida
    I provide an interpretation of Hume’s argument in Treatise 1.2 Of the Ideas of Space and Time that finite extensions are only finitely divisible (hereafter Hume’s Finite Divisibility Argument). My most general claim is that Hume intends his Finite Divisibility Argument to be a demonstration in the Early Modern sense as involving the comparison and linking of ideas based upon their intrinsic contents. It is a demonstration of relations among ideas, meant to reveal the meaningfulness or absurdity of a given (...)
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  • The uses and abuses of mathematics in early modern philosophy: introduction.Tamás Demeter & Eric Schliesser - 2019 - Synthese 196 (9):3461-3464.
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  • (1 other version)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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  • Reality and the coloured points in Hume's treatise.Marina Frasca-Spada - 1998 - British Journal for the History of Philosophy 6 (1):25 – 46.
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