- John Burnet, Greek
Philosophy: Thales to Plato, (London: Macmillan, 1914; reprint, New York:
St Martin's Press 1968), p. 69. text
- David J. Furley, Two
Studies in the Greek Atomists, (Princeton: Princeton University Press,
1967), p. 57. text
- Burnet, p. 76. text
- David Gallop, Parmenides
of Elea, (Toronto: University of Toronto Press, 1984), p. 8. text
- Burnet, p. 77. text
- Cyril Bailey, The
Greek Atomists and Epicurus, (New York: Russell & Russell, 1964), pp.
118-9. text
- Gordon H. Clark, Thales
to Dewey: A History of Philosophy, (Boston: The Riverside Press, 1957),
p. 35. text
- C. J. F. Williams, Aristotle's
De Generatione Et Corruptione, (Oxford: Clarendon Press, 1982). text
- W. D. Ross, Aristotle's
Physics, (Oxford: Clarendon Press, 1960). text
- J. L. Ackrill, Aristotle's
Categories and De Interpretatione, (Oxford: Clarendon Press, 1963). text
- Ackrill qualifies his use of 'quantity' in the
translation. "Quantity: The Greek is a word that serves both as an
interrogative and as an indefinite adjective (Latin quantum).", p.
77. text
- Aristotle, "Metaphysics", trans. W. D.
Ross, in The Basic Works of Aristotle,
ed. Richard McKeon (New York: Random House, 1941). text
- It is generally believed today that the universe is
"finite and unbounded" with its closure remaining an open question.
According to Heinz R. Pagels, Perfect
Symmetry: The Search for the Beginning of Time, (New York: Bantam Books,
1986), p. 146, text
- Today most scientists maintain that the universe evolved from a hot, dense
gas of quantum particles which subsequently expanded rapidly -- an explosion
called the "hot big bang".
If the universe is "closed", the expansion will eventually stop and
reverse -- yielding a finite universe. If the universe is "open", the
expansion will continue, as Aristotle would say, without being gone through. The
resulting universe will be finite at any moment in time, although it continues
to expand. It would be at most "potentially" infinite. text
- Ross, p. 542. text
- Georg Cantor, Contribution
to the founding of the Theory of Transfinite Numbers, trans. Philip E. B.
Jourdain, (n.p., England: Open Court Publishing Company, 1915; reprint ed., New
York: Dover Publications, 1955). text
- Williams, pp. 69-70. text
- 17. Harold H. Joachim, Aristotle
on Coming-to-be & Passing-away, (Oxford, England: The Clarendon
Press, 1922), p. 79. text
- Ackrill, p. 91. text
- Jonathan Lear, "Aristotelian Infinity", Proceedings
of the Aristotelian Society 80, (1979/80): 199-200. text
- Williams, p. 74. text
- David Bostock, "Aristotle, Zeno and the
Potentially Infinite", Proceedings
of the Aristotelian Society 73, (1972-3): 37-51. text
- Bostock, p. 46. text
- Elliott Mendelson, Introduction
to Mathematical Logic 2nd. ed., (New York: D. Van Norstrand, 1979): p. 9. text