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  1. The Logic and Topology of Kant’s Temporal Continuum.Riccardo Pinosio & Michiel van Lambalgen - 2018 - Review of Symbolic Logic 11 (1):160-206.
    In this paper we provide a mathematical model of Kant’s temporal continuum that yields formal correlates for Kant’s informal treatment of this concept in theCritique of Pure Reasonand in other works of his critical period. We show that the formal model satisfies Kant’s synthetic a priori principles for time and that it even illuminates what “faculties and functions” must be in place, as “conditions for the possibility of experience”, for time to satisfy such principles. We then present a mathematically precise (...)
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  • Newton's Absolute Time.H. Kochiras - 2016 - In S. Gerogiorgakis (ed.), Time and Tense: Unifying the Old and the New. Munich: Philosophia (Basic Philosophical Concepts). pp. 169-195.
    When Newton articulated the concept of absolute time in his treatise, Philosophae Naturalis Principia Mathematica (Mathematical Principles of Natural Philosophy), along with its correlate, absolute space, he did not present it as anything controversial. Whereas his references to attraction are accompanied by the self- protective caveats that typically signal an expectation of censure, the Scholium following Principia’s definitions is free of such remarks, instead elaborating his ideas as clarifications of concepts that, in some manner, we already possess. This is not (...)
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  • The Logic and Topology of Kant's Temporal Continuum.Riccardo Pinosio & Michiel van Lambalgen - manuscript
    In this article we provide a mathematical model of Kant?s temporal continuum that satisfies the (not obviously consistent) synthetic a priori principles for time that Kant lists in the Critique of pure Reason (CPR), the Metaphysical Foundations of Natural Science (MFNS), the Opus Postumum and the notes and frag- ments published after his death. The continuum so obtained has some affinities with the Brouwerian continuum, but it also has ‘infinitesimal intervals’ consisting of nilpotent infinitesimals, which capture Kant’s theory of rest (...)
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  • A Study of Time in Modern Physics.Peter W. Evans - 2011 - Dissertation,
    This thesis is a study of the notion of time in modern physics, consisting of two parts. Part I takes seriously the doctrine that modern physics should be treated as the primary guide to the nature of time. To this end, it offers an analysis of the various conceptions of time that emerge in the context of various physical theories and, furthermore, an analysis of the relation between these conceptions of time and the more orthodox philosophical views on the nature (...)
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  • Absolute, True and Mathematical Time in Newton’s Principia.Katherine Brading - unknown
    I discuss the three distinctions “absolute and relative”, “true and apparent”, and “mathematical and common”, for the specific case of time in Newton’s Principia. I argue that all three distinctions are needed for the project of the Principia and can be understood within the context of that project without appeal to Newton’s wider metaphysical and theological commitments. I argue that, within the context of the Principia, the three claims that time is absolute rather than relative, true rather than apparent, and (...)
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  • The Mathematical Form of Measurement and the Argument for Proposition I in Newton’s Principia.Katherine Dunlop - 2012 - Synthese 186 (1):191-229.
    Newton characterizes the reasoning of Principia Mathematica as geometrical. He emulates classical geometry by displaying, in diagrams, the objects of his reasoning and comparisons between them. Examination of Newton’s unpublished texts shows that Newton conceives geometry as the science of measurement. On this view, all measurement ultimately involves the literal juxtaposition—the putting-together in space—of the item to be measured with a measure, whose dimensions serve as the standard of reference, so that all quantity is ultimately related to spatial extension. I (...)
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  • On Reading Newton as an Epicurean: Kant, Spinozism and the Changes to the Principia.Eric Schliesser - 2013 - Studies in History and Philosophy of Science Part A 44 (3):416-428.
  • Duncan F. Gregory and Robert Leslie Ellis: Second-Generation Reformers of British Mathematics.Lukas M. Verburgt - 2018 - Intellectual History Review 28 (3):369-397.
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  • L’Espace Et le Temps Chez Maclaurin : Le Cas de la Figure de la Terre.Olivier Bruneau - 2011 - Philosophia Scientae 15:17-34.
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