46 found
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  1.  48
    Philosophy of Mathematics and Deductive Structure in Euclid's Elements.Ian Mueller - 1981 - Dover Publications.
    A survey of Euclid's Elements, this text provides an understanding of the classical Greek conception of mathematics and its similarities to modern views as well as its differences. It focuses on philosophical, foundational, and logical questions — rather than strictly historical and mathematical issues — and features several helpful appendixes.
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  2. Euclid's Elements and the Axiomatic Method.Ian Mueller - 1969 - British Journal for the Philosophy of Science 20 (4):289-309.
  3.  16
    Greek Mathematics and Greek Logic.Ian Mueller - 1974 - In John Corcoran (ed.), Ancient Logic and its Modern Interpretations. Boston: Reidel. pp. 35--70.
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  4. Mathematical Method and Philosophical Truth.Ian Mueller - 2000 - Filozofski Vestnik 21 (1):131-155.
     
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  5.  7
    Remarks on Euclid’s Elements I,32 and the Parallel Postulate.Ian Mueller - 2003 - Science in Context 16 (3).
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  6.  85
    Aristotle on Geometrical Objects.Ian Mueller - 1970 - Archiv für Geschichte der Philosophie 52 (2):156-171.
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  7.  50
    Plato's Philosophy of Mathematics.Ian Mueller - 1997 - Ancient Philosophy 17 (2):458-461.
  8.  23
    The Completeness of Stoic Propositional Logic.Ian Mueller - 1979 - Notre Dame Journal of Formal Logic 20 (1):201-215.
  9.  16
    The Method of Analysis: Its Geometrical Origin and Its General Significance. [REVIEW]Ian Mueller - 1976 - Journal of Philosophy 73 (6):158-162.
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  10.  37
    Parmenides133a-134e.Ian Mueller - 1983 - Ancient Philosophy 3 (1):3-7.
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  11.  35
    Galen.Ian Mueller - 2000 - Ancient Philosophy 20 (1):247-250.
  12.  38
    Mathematics and Education: Some Notes on the Platonic Program.Ian Mueller - 1991 - Apeiron 24 (4):85 - 104.
  13. On the Movement and Progression of Animals by Aristotle; Michael of Ephesus; Anthony Preus. [REVIEW]Ian Mueller - 1982 - Isis: A Journal of the History of Science 73:591-592.
     
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  14. Greek Mathematics (Arithmetic, Geometry, Proportion Theory) to the Time of Euclid.Ian Mueller - forthcoming - A Companion to Ancient Philosophy.
     
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  15.  3
    Physics and Astronomy: Aristotle's Physics II.2.193b22–194a12this Paper Was Prepared as the Basis of a Presentation at a Conference Entitled “Writing and Rewriting the History of Science, 1900–2000,” Les treilLes, France, September, 2003, Organized by Karine Chemla and Roshdi Rashed. I Have Compared Aristotle's and Ptolemy's Views of the Relationship Between Astronomy and Physics in a Paper Called “Astrologogeômetria and Astrophysikê in Aristotle and Ptolemy,” Presented at a Conference Entitled “Physics and Mathematics in Antiquity,” Leiden, the Netherlands, June, 2004, Organized by Keimpe Algra and Frans de Haas. For a Discussion of Hellenistic Views of This Relationship See Ian Mueller, “Remarks on Physics and Mathematical Astronomy and Optics in Epicurus, Sextus Empiricus, and Some Stoics,” in Philippa Lang , Re-Inventions: Essays on Hellenistic and Early Roman Science, Apeiron 37, 4 : 57–87. I Would Like to Thank Two Anonymous Readers of This Essay for Meticulous Corrections and Th. [REVIEW]Ian Mueller - 2006 - Arabic Sciences and Philosophy 16 (2):175-206.
    In the first part of chapter 2 of book II of the Physics Aristotle addresses the issue of the difference between mathematics and physics. In the course of his discussion he says some things about astronomy and the ‘ ‘ more physical branches of mathematics”. In this paper I discuss historical issues concerning the text, translation, and interpretation of the passage, focusing on two cruxes, the first reference to astronomy at 193b25–26 and the reference to the more physical branches at 194a7–8. In (...)
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  16.  27
    Proclus.Ian Mueller - 1998 - Philosophical Review 107 (4):600-603.
  17.  20
    Stoic and Peidpatetic Logic.Ian Mueller - 1969 - Archiv für Geschichte der Philosophie 51 (2):173-187.
  18.  20
    Thrasyllan Platonism.Ian Mueller - 1996 - Ancient Philosophy 16 (1):246-255.
  19.  14
    On Some Academic Theories of Mathematical Objects.Ian Mueller - 1986 - Journal of Hellenic Studies 106:111-120.
  20.  23
    Joan Kung's Reading of Plato's "Timaeus".Ian Mueller - 1989 - Apeiron 22 (4):1 - 27.
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  21.  30
    Physics and Astronomy: Aristotle's Physics II.2.193b22–194a12.Ian Mueller - 2006 - Arabic Sciences and Philosophy 16 (2):175-206.
    In the first part of chapter 2 of book II of the Physics Aristotle addresses the issue of the difference between mathematics and physics. In the course of his discussion he says some things about astronomy and the ‘ ‘ more physical branches of mathematics”. In this paper I discuss historical issues concerning the text, translation, and interpretation of the passage, focusing on two cruxes, ( I ) the first reference to astronomy at 193b25–26 and ( II ) the reference (...)
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  22.  23
    Zeno's Paradoxes and Continuity.Ian Mueller - 1969 - Mind 78 (309):129-131.
    In this note i argue against harold n. lee's assertion ("mind," october, 1965) that resolution of zeno's paradoxes is closely connected with the modern mathematical distinction between density and continuity. zeno's paradoxes would arise as much if space or time is dense as they do if it is continuous. in fact the paradoxes only arise if one combines a mathematical analysis of space and time with a non-mathematical conception of motion.
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  23.  9
    Lamblichus and Proclus' Euclid Commentary.Ian Mueller - 1987 - Hermes 115 (3):334-348.
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  24.  14
    Studies in Plato's Two-Level Model (Review).Ian Mueller - 2000 - Journal of the History of Philosophy 38 (2):272-273.
  25.  12
    Remarks on Physics and Mathematical Astronomy and Optics in Epicurus, Sextus Empiricus, and Some Stoics.Ian Mueller - 2004 - Apeiron 37 (4):57 - 87.
  26.  2
    Proclus: Neo-Platonic Philosophy and Science.Ian Mueller & Lucas Siorvanes - 1998 - Philosophical Review 107 (4):600.
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  27.  2
    Euclide D’Alexandrie. Les Éléments.Ian Mueller - 2000 - Ancient Philosophy 20 (1):243-247.
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  28.  2
    Joan Kung's Reading of Plato's Timaeus.Ian Mueller - 1989 - Apeiron 22 (4):1-28.
  29.  10
    Review of Frans de Haas (Ed.), Jaap Mansfeld (Ed.), Aristotle: On Generation and Corruption, Book I, Symposium Aristotelicum[REVIEW]Ian Mueller - 2005 - Notre Dame Philosophical Reviews 2005 (6).
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  30.  7
    Working with Trivial Authors.Ian Mueller - 2000 - Apeiron 33 (3):247 - 258.
  31.  1
    Heterodoxy and Doxography in Hippolytus’ ‘Refutation of All Heresies’.Ian Mueller - 1992 - In Wolfgang Haase (ed.), Philosophie, Wissenschaften, Technik. Philosophie. De Gruyter. pp. 4309-4374.
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  32.  2
    Euclide D’Alexandrie. Les Éléments: Vol. II. Livres V-VI. [REVIEW]Ian Mueller - 1996 - Ancient Philosophy 16 (1):266-270.
  33.  2
    Grundprobleme der Geschichte der Antiken Wissenschaft by Kurt von Fritz. [REVIEW]Ian Mueller - 1974 - Isis: A Journal of the History of Science 65:112-114.
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  34.  1
    Aristotle and Logical Theory.Ian Mueller & Jonathan Lear - 1982 - Philosophical Review 91 (4):625.
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  35.  1
    Euclide D’Alexandrie. Les Éléments.Ian Mueller - 1996 - Ancient Philosophy 16 (1):266-270.
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  36.  1
    L'architecture Du Divin: Mathematique Et Philosophie Chez Plotin Et Proclus By Annick Charles-Saget. [REVIEW]Ian Mueller - 1984 - Isis: A Journal of the History of Science 75:415-415.
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  37. Aporia 12.Ian Mueller - 2009 - In Michel Crubellier & André Laks (eds.), Aristotle's Metaphysics Beta: Symposium Aristotelicum. Oxford University Press.
  38. "Euclide d'Alexandrie: Les Éléments". Traduits du Texte de Heiberg. Volume 1. Introduction Générale Par Maurice Caveing. Livres I-IV Géométrie Plane, Traduction Et Commentaires Par Bernard Vitrac. [REVIEW]Ian Mueller - 1993 - Ancient Philosophy 13 (2):456.
  39. Grundprobleme der Geschichte der Antiken WissenschaftKurt von Fritz.Ian Mueller - 1974 - Isis 65 (1):112-114.
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  40. Greek Mathematical Philosophy.Ian Mueller, Edward A. Maziarz & Thomas Greenwood - 1970 - Philosophical Review 79 (3):427.
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  41. Galen: On Antecedent Causes. [REVIEW]Ian Mueller - 2000 - Ancient Philosophy 20 (1):247-250.
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  42. Hippolytus "Retractatus": A Discussion of Catherine Osborne, "Rethinking Early Greek Philosophy". [REVIEW]Ian Mueller - 1989 - Oxford Studies in Ancient Philosophy 7:233.
  43. Philosophy of Mathematics and Deductive Structure in Euclid's Elements.Ian Mueller - 1983 - British Journal for the Philosophy of Science 34 (1):57-70.
     
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  44. Plato’s Philosophy of Mathematics. [REVIEW]Ian Mueller - 1997 - Ancient Philosophy 17 (2):458-461.
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  45. "Pythagoras Revived: Mathematics and Philosophy in Late Antiquity", by Dominic J. O'Meara. [REVIEW]Ian Mueller - 1992 - Ancient Philosophy 12 (2):528.
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  46. Parmenides133a-134e: Some Suggestion.Ian Mueller - 1983 - Ancient Philosophy 3 (1):3-7.
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