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  1. Infinite Divisibility and Actual Parts in Hume’s Treatise.Thomas Holden - 2002 - Hume Studies 28 (1):3-25.
    According to a standard interpretation of Hume’s argument against infinite divisibility, Hume is raising a purely formal problem for mathematical constructions of infinite divisibility, divorced from all thought of the stuffing or filling of actual physical continua. I resist this. Hume’s argument must be understood in the context of a popular early modern account of the metaphysical status of the parts of physical quantities. This interpretation disarms the standard mathematical objections to Hume’s reasoning; I also defend it on textual and (...)
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  • (5 other versions)Enquiry Concerning Human Understanding.David Hume (ed.) - 1904 - Clarendon Press.
    Oxford Philosophical Texts Series Editor: John Cottingham The Oxford Philosophical Texts series consists of authoritative teaching editions of canonical texts in the history of philosophy from the ancient world down to modern times. Each volume provides a clear, well laid out text together with a comprehensive introduction by a leading specialist, giving the student detailed critical guidance on the intellectual context of the work and the structure and philosophical importance of the main arguments. Endnotes are supplied which provide further commentary (...)
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  • (2 other versions)An enquiry concerning human understanding.David Hume - 2000 - In Steven M. Cahn (ed.), Exploring Philosophy: An Introductory Anthology. New York, NY, United States of America: Oxford University Press USA. pp. 112.
    David Hume's Enquiry concerning Human Understanding is the definitive statement of the greatest philosopher in the English language. His arguments in support of reasoning from experience, and against the "sophistry and illusion"of religiously inspired philosophical fantasies, caused controversy in the eighteenth century and are strikingly relevant today, when faith and science continue to clash. The Enquiry considers the origin and processes of human thought, reaching the stark conclusion that we can have no ultimate understanding of the physical world, or indeed (...)
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  • (12 other versions)An essay concerning human understanding.John Locke - 1689 - New York: Oxford University Press. Edited by Pauline Phemister.
    The book also includes a chronological table of significant events, select bibliography, succinct explanatory notes, and an index--all of which supply ...
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  • The philosophy of David Hume: a critical study of its origins and central doctrines.Norman Kemp Smith - 1941 - New York: Palgrave-Macmillan. Edited by Don Garrett.
    Norman Kemp Smith's The Philosophy of David Hume continues to be unsurpassed in its comprehensive coverage of the ideas and issues of Hume's Treatise. Now, after years of waiting, this currently out-of-print and highly sought-after classic is being re-issued. This ground-breaking book has long been regarded as a classic study by scholars in the field, yet a new introduction by Don Garrett places the book in its contemporary context, showing Humes's continuing importance in the field.
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  • Achievements and fallacies in Hume's account of infinite divisibility.James Franklin - 1994 - Hume Studies 20 (1):85-101.
    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 (...)
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  • Eudoxos and dedekind: On the ancient greek theory of ratios and its relation to modern mathematics.Howard Stein - 1990 - Synthese 84 (2):163 - 211.
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  • A treatise of human nature.David Hume & D. G. C. Macnabb (eds.) - 1739 - Oxford,: Clarendon press.
    One of Hume's most well-known works and a masterpiece of philosophy, A Treatise of Human Nature is indubitably worth taking the time to read.
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  • (1 other version)Infinite Divisibility in Hume's "Treatise".A. Flew - 1967 - Rivista di Storia Della Filosofia 22 (4):457.
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  • (1 other version)Hume’s Skepticism in the Treatise of Human Nature.Robert J. Fogelin - 1985 - Mind 95 (379):392-396.
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  • (1 other version)Infinite Divisibility in Hume's Treatise.Antony Flew - 1976 - In Livingston and King (ed.), Hume: A Re-evaluation. pp. 257--69.
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  • (3 other versions)An Essay Concerning Human Understanding.John Locke - 1979 - Revue Philosophique de la France Et de l'Etranger 169 (2):221-222.
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  • (1 other version)Space and Time.Lorne Falkenstein - 2006 - In Saul Traiger (ed.), The Blackwell Guide to Hume’s Treatise. Oxford: Blackwell. pp. 59–76.
    This chapter contains section titled: Extension and Duration Hume's Reply to the Paradox of Composition Hume's Arguments for the Finite Divisibility of Perceptions (T 1.2.1) The Coherence of Hume's Account The Idea of Equality (T 1.2.4) The Infinite Divisibility of Objects (T 1.2.2) Manners of Disposition (T 1.2.3) The Simplicity of the Soul (T 1.4.5) The Idea of Vacuum (T 1.2.5) Hume's Account of Contiguity (T 1.1.5, 1.3.8, 2.3.7) Notes References Further reading.
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  • Hume on Manners of Disposition and the Ideas of Space and Time.Lorne Falkenstein - 1997 - Archiv für Geschichte der Philosophie 79 (2):179-201.
    Scholars have almost universally agreed that Hume's account of space and time as manners of disposition of impressions is inconsistent with one of the most fundamental tenets of his empiricism: the thesis that all ideas are derived from simple impressions. This paper challenges that view and argues that Hume's position on the origin of our ideas of space and time is a profound, original, virtually unique, and even courageous approach to the problem of original space and time cognition, and a (...)
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  • (1 other version)Enquiries concerning the human understanding and concerning the principles of morals.David Hume (ed.) - 1777 - Westport, Conn.: Greenwood Press.
    A scholarly edition of a work by David Hume. The edition presents an authoritative text, together with an introduction, commentary notes, and scholarly apparatus.
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  • David Hume's critique of infinity.Dale Jacquette - 2001 - Boston: Brill.
    The present work considers Hume's critique of infinity in historical context as a product of Enlightenment theory of knowledge, and assesses the prospects of ...
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  • (2 other versions)A Treatise of Human Nature: Being an Attempt to Introduce the Experimental Method of Reasoning Into Moral Subjects.David Hume (ed.) - 1738 - Cleveland,: Oxford University Press.
    A Treatise of Human Nature, David Hume's comprehensive attempt to base philosophy on a new, observationally grounded study of human nature, is one of the most important texts in Western philosophy. It is also the focal point of current attempts to understand 18th-century western philosophy. The Treatise addresses many of the most fundamental philosophical issues: causation, existence, freedom and necessity, and morality. The volume also includes Humes own abstract of the Treatise, a substantial introduction, extensive annotations, a glossary, a comprehensive (...)
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  • (4 other versions)Hume.Antony Flew & Terence Penelhum - 1976 - Philosophical Quarterly 26 (104):268.
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  • The architecture of matter: Galileo to Kant.Thomas Anand Holden - 2004 - New York: Oxford University Press.
    Thomas Holden presents a fascinating study of theories of matter in the seventeenth and eighteenth centuries. These theories were plagued by a complex of interrelated problems concerning matter's divisibility, composition, and internal architecture. Is any material body infinitely divisible? Must we posit atoms or elemental minima from which bodies are ultimately composed? Are the parts of material bodies themselves material concreta? Or are they merely potentialities or possible existents? Questions such as these -- and the press of subtler questions hidden (...)
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  • Hume on Infinite Divisibility.Donald L. M. Baxter - 1988 - History of Philosophy Quarterly 5 (2):133-140.
    Hume seems to argue unconvincingly against the infinite divisibility of finite regions of space. I show that his conclusion is entailed by respectable metaphysical principles which he held. One set of principles entails that there are partless (unextended) things. Another set entails that these cannot be ordered so that an infinite number of them compose a finite interval.
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