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Richard T. W. Arthur
McMaster University
  1. Leibniz.Richard T. W. Arthur - 2014 - Polity.
    Few philosophers have left a legacy like that of Gottfried Wilhelm Leibniz. He has been credited not only with inventing the differential calculus, but also with anticipating the basic ideas of modern logic, information science, and fractal geometry. He made important contributions to such diverse fields as jurisprudence, geology and etymology, while sketching designs for calculating machines, wind pumps, and submarines. But the common presentation of his philosophy as a kind of unworldly idealism is at odds with all this bustling (...)
     
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  2.  8
    On the Non-Idealist Leibniz.Richard T. W. Arthur - 2018 - The Leibniz Review 28:97-101.
    This is a reply to Samuel Levey's fine review of my Monads, Composition and Force (Oxford UP, 2018) in the same issue of the Leibniz Review. In it I take up various difficulties raised by Levey that may be thought to collapse Leibniz's position into idealism after all, and attempt to provide convincing responses to them.
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  3.  7
    The Hegelian Roots of Russell's Critique of Leibniz.Richard T. W. Arthur - 2018 - The Leibniz Review 28:9-42.
    At the turn of the century Bertrand Russell advocated an absolutist theory of space and time, and scornfully rejected Leibniz’s relational theory in his Critical Exposition of the Philosophy of Leibniz. But by the time of the second edition, he had proposed highly influential relational theories of space and time that had much in common with Leibniz’s own views. Ironically, he never acknowledges this. In trying to get to the bottom of this enigma, I looked further at contemporary texts by (...)
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  4.  83
    Presupposition, Aggregation, and Leibniz’s Argument for a Plurality of Substances.Richard T. W. Arthur - 2011 - The Leibniz Review 21:91-115.
    This paper consists in a study of Leibniz’s argument for the infinite plurality of substances, versions of which recur throughout his mature corpus. It goes roughly as follows: since every body is actually divided into further bodies, it is therefore not a unity but an infinite aggregate; the reality of an aggregate, however, reduces to the reality of the unities it presupposes; the reality of body, therefore, entails an actual infinity of constituent unities everywhere in it. I argue that this (...)
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  5. Minkowski Spacetime and the Dimensions of the Present.Richard T. W. Arthur - unknown
    In Minkowski spacetime, because of the relativity of simultaneity to the inertial frame chosen, there is no unique world-at-an-instant. Thus the classical view that there is a unique set of events existing now in a three dimensional space cannot be sustained. The two solutions most often advanced are that the four-dimensional structure of events and processes is alone real, and that becoming present is not an objective part of reality; and that present existence is not an absolute notion, but is (...)
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  6. Leibniz's Theory of Space.Richard T. W. Arthur - 2013 - Foundations of Science 18 (3):499-528.
    In this paper I offer a fresh interpretation of Leibniz’s theory of space, in which I explain the connection of his relational theory to both his mathematical theory of analysis situs and his theory of substance. I argue that the elements of his mature theory are not bare bodies (as on a standard relationalist view) nor bare points (as on an absolutist view), but situations. Regarded as an accident of an individual body, a situation is the complex of its angles (...)
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  7.  12
    Geoffrey Hellman* and Stewart Shapiro.**Varieties of Continua—From Regions to Points and Back.Richard T. W. Arthur - 2019 - Philosophia Mathematica 27 (1):148-152.
    HellmanGeoffrey* * and ShapiroStewart.** ** Varieties of Continua—From Regions to Points and Back. Oxford University Press, 2018. ISBN: 978-0-19-871274-9. Pp. x + 208.
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  8. The Labyrinth of the Continuum: Writings on the Continuum Problem, 1672-1686.Richard T. W. Arthur (ed.) - 2001 - Yale University Press.
    This book gathers together for the first time an important body of texts written between 1672 and 1686 by the great German philosopher and polymath Gottfried Leibniz. These writings, most of them previously untranslated, represent Leibniz’s sustained attempt on a problem whose solution was crucial to the development of his thought, that of the composition of the continuum. The volume begins with excerpts from Leibniz’s Paris writings, in which he tackles such problems as whether the infinite division of matter entails (...)
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  9.  87
    Newton's Fluxions and Equably Flowing Time.Richard T. W. Arthur - 1995 - Studies in History and Philosophy of Science Part A 26 (2):323-351.
  10. Time Lapse and the Degeneracy of Time: Gödel, Proper Time and Becoming in Relativity Theory.Richard T. W. Arthur - unknown
    In the transition to Einstein’s theory of Special Relativity (SR), certain concepts that had previously been thought to be univocal or absolute properties of systems turn out not to be. For instance, mass bifurcates into (i) the relativistically invariant proper mass m0, and (ii) the mass relative to an inertial frame in which it is moving at a speed v = βc, its relative mass m, whose quantity is a factor γ = (1 – β2) -1/2 times the proper mass, (...)
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  11. Time, Inertia and the Relativity Principle.Richard T. W. Arthur - manuscript
    In this paper I try to sort out a tangle of issues regarding time, inertia, proper time and the so-called “clock hypothesis” raised by Harvey Brown's discussion of them in his recent book, Physical Relativity. I attempt to clarify the connection between time and inertia, as well as the deficiencies in Newton's “derivation” of Corollary 5, by giving a group theoretic treatment original with J.-P. Provost. This shows how both the Galilei and Lorentz transformations may be derived from the relativity (...)
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  12. Natural Deduction: An Introduction to Logic with Real Arguments, a Little History and Some Humour.Richard T. W. Arthur - 2011 - Broadview Press.
    Richard Arthur’s _Natural Deduction_ provides a wide-ranging introduction to logic. In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python.
     
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  13.  58
    Leibniz’s Mechanical Principles : Commentary and Translation.Richard T. W. Arthur - 2013 - The Leibniz Review 23:101-105.
  14.  4
    Virtual Processes and Quantum Tunnelling as Fictions.Richard T. W. Arthur - 2012 - Science & Education 21 (10):1461-1473.
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  15.  25
    Leibniz’s Causal Theory of Time Revisited.Richard T. W. Arthur - 2016 - The Leibniz Review 26:151-178.
    Following the lead of Hans Reichenbach in the early twentieth century, many authors have attributed a causal theory of time to Leibniz. My exposition of Leibniz’s theory of time in a paper of 1985 has been interpreted as a version of such a causal theory, even though I was critical of the idea that Leibniz would have tried to reduce relations among monadic states to causal relations holding only among phenomena. Since that time previously unpublished texts by Leibniz have become (...)
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  16.  93
    Actual Infinitesimals in Leibniz's Early Thought.Richard T. W. Arthur - unknown
    Before establishing his mature interpretation of infinitesimals as fictions, Gottfried Leibniz had advocated their existence as actually existing entities in the continuum. In this paper I trace the development of these early attempts, distinguishing three distinct phases in his interpretation of infinitesimals prior to his adopting a fictionalist interpretation: (i) (1669) the continuum consists of assignable points separated by unassignable gaps; (ii) (1670-71) the continuum is composed of an infinity of indivisible points, or parts smaller than any assignable, with no (...)
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  17.  92
    Book Review:Quantum Mechanics, a Half Century Later J.L. Lopes, M. Paty. [REVIEW]Richard T. W. Arthur - 1981 - Philosophy of Science 48 (1):156-.
  18.  40
    Massimo Mugnai and the Study of Leibniz.Richard T. W. Arthur - 2013 - The Leibniz Review 23:1-5.
    This essay is an appreciation of Massimo Mugnai’s many contributions to Leibniz scholarship, as well as to the history of logic and history of philosophy more generally.
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  19.  45
    Leibniz on Continuity.Richard T. W. Arthur - 1986 - PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1986:107 - 115.
    In this paper I attempt to throw new light on Leibniz's apparently conflicting remarks concerning the continuity of matter. He says that matter is "discrete" yet "actually divided to infinity" and (thus dense), and moreover that it fills (continuous) space. I defend Leibniz from the charge of inconsistency by examining the historical development of his views on continuity in their physical and mathematical context, and also by pointing up the striking similarities of his construal of continuity to the approach taken (...)
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  20. Exacting a Philosophy of Becoming From Modern Physics.Richard T. W. Arthur - 1982 - Pacific Philosophical Quarterly 63 (2):101.
  21.  52
    Leibniz: Body, Substance, Monad.Richard T. W. Arthur - 2010 - British Journal for the History of Philosophy 18 (4):721-724.
  22.  5
    Moore's Notes on Leibniz Lectures.Richard T. W. Arthur & Nicholas Griffin - 2017 - Russell: The Journal of Bertrand Russell Studies 37 (1).
    G. E. Moore attended Russell’s lectures on Leibniz in 1899 and kept detailed notes which have been preserved among his papers. The present article prints his notes in their entirety with annotations.
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  23.  11
    Reply to Ohad Nachtomy.Richard T. W. Arthur - 2014 - The Leibniz Review 24:131-133.
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  24.  4
    Russell's Leibniz Notebook.Richard T. W. Arthur & Nicholas Griffin - 2017 - Russell: The Journal of Bertrand Russell Studies 37 (1).
    In preparation for his lectures on Leibniz delivered in Cambridge in Lent Term 1899, Russell started in the summer of 1898 to keep notes on writings by and about Leibniz in a large notebook of the type he commonly used for notetaking at this time. This article prints, with annotation, all the material on Leibniz in that notebook.
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  25.  15
    Beeckman's Discrete Moments and Descartes' Disdain.Richard T. W. Arthur - 2012 - Intellectual History Review 22 (1):69-90.
    Descartes' allusions, in the Meditations and the Principles, to the individual moments of duration, has for some years stirred controversy over whether this commits him to a kind of time atomism. The origins of Descartes' way of treating moments as least intervals of duration can be traced back to his early collaboration with Isaac Beeckman. Where Beeckman (in 1618) conceived of moments as (mathematically divisible) physical indivisibles, corresponding to the durations of uniform motions between successive impacts on a body by (...)
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  26.  37
    Review of Andreas Blank, Leibniz: Metaphilosophy and Metaphysics 1666-1686,[REVIEW]Richard T. W. Arthur - 2006 - Notre Dame Philosophical Reviews 2006 (5).
  27.  10
    Niccolò Guicciardini, Isaac Newton on Mathematical Certainty and Method. Cambridge, MA and London: MIT Press, 2009. Pp. Xxiii + 422. ISBN 978-0-262-01317-8. $55.00. [REVIEW]Richard T. W. Arthur - 2011 - British Journal for the History of Science 44 (1):122-124.
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  28.  3
    Marginalia in Russell's Copy of Gerhardt's Edition of Leibniz's Philosophische Schriften.Richard T. W. Arthur, Jolen Galaugher & Nicholas Griffin - 2017 - Russell: The Journal of Bertrand Russell Studies 37 (1).
    Russell’s most important source for his book on Leibniz was C. I. Gerhardt’s seven-volume Die philosophischen Schriften von Gottfried Wilhelm Leibniz. Russell heavily annotated his copy of this important edition of Leibniz’s works. The present paper records all Russell’s marginalia, with the exception of passages marked merely by vertical lines in the margin, and provides explanatory commentary.
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  29.  27
    Book Review:Temporal Relations and Temporal Becoming: A Defense of a Russellian Theory of Time L. Nathan Oaklander. [REVIEW]Richard T. W. Arthur - 1987 - Philosophy of Science 54 (1):142-.
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  30.  6
    Klaas van Berkel. Isaac Beeckman on Matter and Motion. Baltimore: Johns Hopkins University Press, 2013. Pp. Viii+265. $35.96. [REVIEW]Richard T. W. Arthur - 2014 - Hopos: The Journal of the International Society for the History of Philosophy of Science 4 (1):192-196.
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  31. G.W. Leibniz, Interrelations Between Mathematics and Philosophy.Richard T. W. Arthur (ed.) - 2015 - Springer Verlag.
  32. Leibniz’s Actual Infinite in Relation to His Analysis of Matter.Richard T. W. Arthur - 2015 - In David Rabouin, Philip Beeley & Norma B. Goethe (eds.), G.W. Leibniz, Interrelations Between Mathematics and Philosophy. Springer Verlag.
  33. Monads, Composition, and Force: Ariadnean Threads Through Leibniz's Labyrinth.Richard T. W. Arthur - 2018 - Oxford University Press.
    In this new work, Richard T. W. Arthur offers a fresh interpretation of Leibniz's theory of substance. He goes against a long trend of idealistic interpretations of Leibniz's thought by instead taking seriously Leibniz's claim of introducing monads to solve the problem of the composition of matter and motion.
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  34. An Introduction to Logic - Second Edition: Using Natural Deduction, Real Arguments, a Little History, and Some Humour.Richard T. W. Arthur - 2016 - Broadview Press.
    In lively and readable prose, Arthur presents a new approach to the study of logic, one that seeks to integrate methods of argument analysis developed in modern “informal logic” with natural deduction techniques. The dry bones of logic are given flesh by unusual attention to the history of the subject, from Pythagoras, the Stoics, and Indian Buddhist logic, through Lewis Carroll, Venn, and Boole, to Russell, Frege, and Monty Python. A previous edition of this book appeared under the title _Natural (...)
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  35. Russell's Conundrum: On the Relation of Leibniz's Monads to the Continuum in An Intimate Relation. Studies in the History and Philosophy of Science.Richard T. W. Arthur - 1989 - Boston Studies in the Philosophy of Science 116:171-201.