Atomism and Infinite Divisibility

Chapter 1

Notes and References

  1. Jean Piaget, Genetic Epistemology, (New York: Columbia University Press, 1970) text
  2. William D. Rohwer, Jr., Paul R. Ammon, and Phebe Cramer, Understanding Intellectual Development: Three approaches to Theory and Practice, (Hinsdale, Illinois: The Dryden Press, 1974), p. 142. text
  3. David J. Furley, Two Studies in the Greek Atomists, (Princeton: Princeton University Press, 1967, p. 21. text
  4. James Thomson, Tasks and Super-Tasks, in Zeno's Paradoxes, ed. Wesley Salmon, (Indianapolis: Bobbs-Merrill, 1970), p. 91. text
  5. Bertrand Russell, The Problem of Infinity Considered Historically, in Zeno's Paradoxes, ed. Wesley Salmon, (Indianapolis: Bobbs-Merrill, 1970), p. 55. text
  6. Keith J. Devlin, Fundamentals of Contemporary Set Theory, (New York: Springer-Verlag, 1979), p. 52. text
  7. This risks confusing the issue by introducing a fifth dimension (of time). "At once" implies "at one time", but the four-dimensional space-time perspective is not limited to "one time". In order for "at once" to be meaningful in this new context, it must mean at one time along some temporal dimension. Since we are already looking at all the time coordinates, that one time must be along another dimension of time, a fifth dimension. Since we are not accustomed to adopting the four-dimensional space-time perspective, we must be especially on guard to prevent the intrusion of language not consistent with that perspective. text
  8. David Gallop, Parmenides of Elea, (Toronto: University of Toronto Press, 1984), p. 8. text
  9. Gordon H. Clark, Thales to Dewey: A History of Philosophy, (Boston: The Riverside Press, 1957), p. 14. text
  10. John Burnet, Greek Philosophy: Thales to Plato, (London: Macmillan, 1914; reprint, New York: St Martin's Press, 1968), p. 16. text
  11. Burnet, p. 53. text
  12. Burnet, p. 16. text
  13. Burnet, p. 17. text
  14. Burnet, p. 17. text
  15. Burnet, p. 53. text
  16. Burnet, p. 30. text
  17. Burnet, p. 31. text
  18. Burnet, p. 43. text
  19. Philip Wheelwright, Heraclitus, (Princeton: Princeton University Press, 1959; reprint, Athenaeum edition, 1971), p. 90. text
  20. Wheelwright, p. 37. text
  21. Clark, p. 28. text
  22. Burnet, p. 19. text
  23. Burnet, p. 55. text
  24. Burnet, p. 62. text