Zeno Against Mathematical Physics

Journal of the History of Ideas

Volumn 62, Issue 2, 2001, Pages 193-210

  Glazebrook, Trish ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041331403     PISSN: 00225037     EISSN: None     Source Type: Journal    
DOI: 10.2307/3654354     Document Type: Article

References (99)

1. Discoveries and Opinions of Galileo, tr. Stillman Drake (London, 1957), 238.
2. Niels Bohr, "Can Quantum-Mechanical Description of Physical Reality be Considered Complete?" Physical Review, 48 (1935), 696-702. Repr. Quantum Theory and Measurement, ed. J. A. Wheeler and W. H. Zurek (Princeton, 1983), 146.
3. Niels Bohr, "Can Quantum-Mechanical Description of Physical Reality be Considered Complete?" Physical Review, 48 (1935), 696-702. Repr. Quantum Theory and Measurement, ed. J. A. Wheeler and W. H. Zurek (Princeton, 1983), 146.
4. Arthur Fine, "The Natural Ontological Attitude," Scientific Realism, ed. J. Leplin (Berkeley, 1984), 83.
5. Ilkka Niiniluoto, "Varieties of Realism," Symposium on the Foundations of Modern Physics, ed. Pekka Lahti and Peter Mittelstaedt (New Jersey, 1987), 459-83.
6. Aristotle, Physics, tr. P.H. Wicksteed and F.M. Cornford, Loeb Classical edition (Cambridge, Mass., 1934), 194a6.
7. Aristotle, Physics, 194a4-5.
8. Aristotle, Physics, 194a10.
9. Aristotle, Topics in The Works of Aristotle, ed. W. D. Ross, tr, W. A. Pickard-Cambridge (Oxford, 1928), 160b7.
10. Aristotle, Physics, 239b11.
11. G. E. L. Owen, "Zeno and the Mathematicians," Proceedings of the Aristotelian Society, 58 (1957-58), 199-222: 207.
12. Adolf Grünbaum, "Messrs. Black and Taylor on Temporal Paradoxes," Analysis, 12 (1951-52), 144-48:144.
13. Aristotle, Physics, 233a25.
14. Kathleen, Freeman, The Pre-Socratic Philosophers (Oxford, 1949), 162.
15. Aristotle, Physics, 263b7-9.
16. Aristotle, Physics, 185b10, 200b 17-20, 232b24; cf. Aristotle, De Caelo in Basic Works of Aristotle, ed. Richard McKeon, tr. J. L. Stocks (New York, 1941), 268a6-7.
17. Aristotle, Physics, 185b10, 200b 17-20, 232b24; cf. Aristotle, De Caelo in Basic Works of Aristotle, ed. Richard McKeon, tr. J. L. Stocks (New York, 1941), 268a6-7.
18. W. D. Ross, Aristotle's "Physics": A Revised Text with Introduction and Commentary (Oxford, 1936), 71.
19. Alan R. White, "Achilles at the Shooting Gallery," Mind, 72 (1963), 141-42.
20. Bernard Mayo, "Shooting It Out With Zeno," Mind, 73 (1964), 282-83.
21. Norwood Russell Hanson, "The Tortoise Shoots Back," Philosophical Studies, 16(1965), 14-16.
22. A. D. Ritchie, "Why Achilles Does Not Fail to Catch the Tortoise," Mind, 50 (1941), 310-11.
23. Wilmont V. Metcalf, "Achilles and the Tortoise," Mind, 51 (1942), 89-90.
24. David S. Schwayder, "Achilles Unbound," Journal of Philosophy, 52 (1955), 449-59.
25. John O. Nelson, "Zeno's Paradoxes on Motion," Review of Metaphysics, 16 (1963), 486-90.
26. Stanislaus Quan, "The Solution of the Achilles Paradox," Review of Metaphysics, 16 (1963), 473-85.
27. C. D. Broad, "Note on Achilles and the Tortoise," Mind, 22 (1913), 318-19.
28. Eugene TeHennepe, "Language-Reform and Philosophical Imperialism: Another Round with Zeno," Analysis, supplement to 23 (1963), 43-49: 47.
29. Grover Maxwell and Herbert Feigl, "Why Ordinary Language Needs Reforming," The Journal of Philosophy, 58 (1961), 488-98.
30. Ross, 83.
31. Rene Descartes, Oeuvres (11 vols.; Paris, 1901), IV, 445-47; Alfred North Whitehead, Process and Reality (New York, 1929), 85.
32. Rene Descartes, Oeuvres (11 vols.; Paris, 1901), IV, 445-47; Alfred North Whitehead, Process and Reality (New York, 1929), 85.
33. C. S. Peirce, Collected Papers of C. S. Peirce, eds. Charles Hartshorne and Paul Weiss (8 vols.; Cambridge, Mass., 1935), VI, 177.
34. Bertrand Russell, "The Problem of Infinity Considered Historically," Our Knowledge of the External World (London, 1914), 175-78.
35. James Thomson, "Tasks and Super-Tasks," Zeno's Paradoxes, ed. Wesley Salmon (New York, 1970), 89-102; Max Black, "Achilles and the Tortoise," Analysis, 2 (1951), 91-101.
36. James Thomson, "Tasks and Super-Tasks," Zeno's Paradoxes, ed. Wesley Salmon (New York, 1970), 89-102; Max Black, "Achilles and the Tortoise," Analysis, 2 (1951), 91-101.
37. R. M. Sainsbury, Paradoxes (Cambridge, 1988), 15.
38. Paul Benacerraf, "Tasks, Super-tasks, and the Modern Eleatics," Journal of Philosophy, 59 (1962), 765-84: 770.
39. Geoffrey C. Berresford, "A Note on Thomson's Lamp 'Paradox,' " Analysis, 41 (1981), 1-3:2.
40. Christopher Ray, "Paradoxical Tasks," Analysis, 50 (1990), 74.
41. James Thomson, "Comments on Benacerraf's Paper," Zeno's Paradoxes, ed. Wesley Salmon (New York, 1970), 130-38: 133.
42. Richard Taylor, "Mr. Black on Temporal Paradoxes," Analysis, 12 (1951-52), 38-44; J. Watling, "The Sum of an Infinite Series," Analysis, 13 (1952-53), 39-46.
43. Richard Taylor, "Mr. Black on Temporal Paradoxes," Analysis, 12 (1951-52), 38-44; J. Watling, "The Sum of an Infinite Series," Analysis, 13 (1952-53), 39-46.
44. Richard Taylor, "Mr. Wisdom on Temporal Paradoxes," Analysis, 13 (1952-53), 15-17.
45. L. E. Thomas, "Achilles and the Tortoise," Analysis, 12 (1951-52), 92-94.
46. J. O. Wisdom, "Achilles on a Physical Racecourse," Analysis, 12 (1951-52), 68.
47. Georg Cantor, Contributions to the Founding of the Theory of Transfinite Numbers, tr. Philip Jourdain (New York, 1915); Richard Dedekind, Essays on the Theory of Numbers, tr. W. W. Berman (Chicago, 1901).
48. Georg Cantor, Contributions to the Founding of the Theory of Transfinite Numbers, tr. Philip Jourdain (New York, 1915); Richard Dedekind, Essays on the Theory of Numbers, tr. W. W. Berman (Chicago, 1901).
49. Harold N. Lee, "Are Zeno's Paradoxes Based on a Mistake?" Mind, 74 (1965), 563-70.
50. Dedekind, 13.
51. 2), 273.
52. Russell, 179.
53. Henri Bergson, "The Cinematographic View of Becoming," Zeno's Paradoxes, ed. Wesley Salmon (New York, 1970), 59-66.
54. Aristotle, Physics, 219b26.
55. Kirk, Raven, and Schofield, 273.
56. Alba Papa-Grimaldi, "Why Mathematical Solutions of Zeno's Paradoxes Miss the Point: Zeno's One and Many Relation and Parmenides' Prohibition," Review of Metaphysics, 50(1996), 299-314.
57. William McLaughlin and Sylvia Miller, "An Epistemological Use of Nonstandard Analysis to Answer Zeno's Objections Against Motion," Synthèse, 92 (1992), 371-84: 376.
58. Mark Zangari, "Zeno, Zero and Indeterminate Forms: Instants in the Logic of Motion," Australasian Journal of Philosophy, 12 (1994), 193.
59. Aristotle, Physics, 240a1. This is Hardie and Gaye's translation in The Basic Works of Aristotle, ed. Richard McKeon (New York, 1941).
60. Aristotle, Physics, 240a1. This is Hardie and Gaye's translation in The Basic Works of Aristotle, ed. Richard McKeon (New York, 1941).
61. Aristotle, Physics, Hardie and Gaye, 240a3.
62. Aristotle, Physics, 240a2-4.
63. Ross, 656.
64. Ross, 72.
65. Ross, 656.
66. Aristotle, Metaphysics, tr. Hugh Tredennick (Cambridge, Mass., 1933), 985b24-986b9.
67. Aristotle, Metaphysics, 987b25.
68. Ross, 85.
69. Reproduced at H. D. P. Lee, Zeno of Elea: A Text, with Translation and Notes (Amsterdam, 1967), 103. This is my translation.
70. N. B. Booth, "Were Zeno's Arguments Directed Against the Pythagoreans?" Phronesis, 2 (1957), 90-103: 90.
71. Diogenes Laertius, Lives of Eminent Philosophers, tr. R. D. Hicks (2 vols.; London, 1925), II, IX.25, 435; Plato, Sophist, tr. Nicolas P. White (Indianapolis, 1993), 241d.
72. Diogenes Laertius, Lives of Eminent Philosophers, tr. R. D. Hicks (2 vols.; London, 1925), II, IX.25, 435; Plato, Sophist, tr. Nicolas P. White (Indianapolis, 1993), 241d.
73. John Burnet, Early Greek Philosophy (London, 1920), 82.
74. H. D. P. Lee, 104.
75. Burnet, 314.
76. Papa-Grimaldi, 305.
77. Papa-Grimaldi, 307, 312.
78. N. B. Booth, "Were Zeno's Arguments a Reply to Attacks on Parmenides?" Phronesis, 2 (1957), 1-9: 1.
79. Parmenides, Fragments, tr. David Gallop (Toronto, 1984).
80. Bergson, 64.
81. H. D. P. Lee, 122.
82. Aristotle, Physics, 207a1; cf. 206b14.
83. Aristotle, Physics, 206a17. Cf. William Charlton, "Aristotle's Potential Infinites," Aristotle's "Physics": A Collection of Essays, ed. Lindsay Judson (Oxford, 1991), 129-49.
84. Aristotle, Physics, 206a17. Cf. William Charlton, "Aristotle's Potential Infinites," Aristotle's "Physics": A Collection of Essays, ed. Lindsay Judson (Oxford, 1991), 129-49.
85. Aristotle, Physics, 206a22. Cf. Jaakko Hintikka, Time and Necessity: Studies in Aristotle's Theory of Modality (Oxford, 1973), 116.
86. Aristotle, Physics, 206a22. Cf. Jaakko Hintikka, Time and Necessity: Studies in Aristotle's Theory of Modality (Oxford, 1973), 116.
87. Aristotle, Physics, 207a26.
88. Aristotle, Physics, 207b29.
89. Aristotle, Physics, 207a25.
90. Edward Hussey, "Aristotle's Mathematical Physics: A Reconstruction," Aristotle's "Physics": A Collection of Essays, ed. Lindsay Judson (Oxford, 1991), 213.
91. Max Black, Problems of Analysis (London, 1954), 125.
92. Black, Problems of Analysis, 126.
93. Thomson, "Tasks and Super-Tasks"; Black, "Achilles and the Tortoise."
94. Thomson, "Tasks and Super-Tasks"; Black, "Achilles and the Tortoise."
95. Thomson, "Tasks and Super-Tasks," 101.
96. Max Planck, Philosophy of Physics, tr. W. H. Johnston (New York, 1936), 53.
97. Planck, 67.
98. Niiniluoto, 471.
99. Nancy Cartwright, How the Laws of Physics Lie (Oxford, 1983), 135.