Advertisement

Abstract

An awareness of infinity is a major component in our contemplation of nature. We live with the possibility that the finite world of our experience is to be contrasted both with spatial domains of infinite magnitude and never-ending reaches of time. Our successes in understanding the universe must then be juxtaposed with a kind of threat that an overwhelming infinity will always forbid a comprehensive grasp.

Keywords

Natural World Infinite Sequence Cardinal Number Infinite Time Physical Entity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References and Notes

  1. 1.
    J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Inñnite (Harvard Univ. Press, Cambridge, Massachusetts, 1979).Google Scholar
  2. 2.
    Immanuel Kant, Critique of Pure Reason ,trans. N. K. Smith (Macmillan, London, 1933), p. 397.Google Scholar
  3. 3.
    G. J. Whitrow, Brit. J. Phil. Sci. 29, 39 (1978).CrossRefGoogle Scholar
  4. 4.
    K. R. Popper, Brit. J. Phil. Sci. 29, 47 (1978).CrossRefGoogle Scholar
  5. 5.
    John Bell, Brit. J. Phil. Sci. 30, 161 (1979).CrossRefGoogle Scholar
  6. 6.
    W. L. Craig, Brit. J. Phil. Sci. 30, 165 (1979).CrossRefGoogle Scholar
  7. 7.
    R. Schlegel, Superposition and Interaction (Univ. of Chicago Press, Chicago, 1980), Secs. 2–4 and 3–5.Google Scholar
  8. 8.
    A. A. Fraenkel, Abstract Set Theory (North-Holland Pub. Co., Amsterdam, 1961): (a) pp. 110–112; (b) p. 96.Google Scholar
  9. 9.
    Steven Weinberg, The First Three Minutes (Basic Books, Inc., New York, 1977), Chap. VII.Google Scholar
  10. 10.
    R. Schlegel, Nature 193, 665 (1962); 196, 1015 (1962).CrossRefGoogle Scholar
  11. 11.
    R. Schlegel, Phil. Sci. 32, 21 (1965).CrossRefGoogle Scholar
  12. 12.
    R. Schlegel, Completeness in Science (Appleton-Century-Crofts, New York, 1967), Chap. 8.Google Scholar
  13. 13.
    R. Schlegel, Int. Theor. Phys. 12, 217 (1975).CrossRefGoogle Scholar
  14. 14.
    H. Bondi and T. Gold, Mon. Not. R. Astron. Soc. 108, 252 (1948).Google Scholar
  15. 15.
    Fred Hoyle, Mon. Not. R. Astron. Soc. 108, 372 (1948).Google Scholar
  16. 16.
    Bertrand Russell, Principles of Mathematics ,2nd Ed. (W. W. Norton, New York, 1938), pp. 349–350.Google Scholar
  17. 17.
    Robert Weingard, Brit. J. Phil. Sci. 30, 170 (1979).CrossRefGoogle Scholar
  18. 18.
    William D. MacMillan, Science 62, 63, 96, 121 (1925).CrossRefGoogle Scholar
  19. 19.
    R. Schlegel, Am. J. Phys. 26, 601 (1958).CrossRefGoogle Scholar
  20. 20.
    Wolfgang Yourgrau, in Essays in Memory of Imre L.akatos ,R. S. Cohen, P. K. Feyerabend, and M. W. Wartofsky, editors, Boston Studies in the Philos. of Sci. XXXIX, (Reidel, Dordrecht/Boston, 1976), p. 751.Google Scholar

Copyright information

© Plenum Press, New York 1983

Authors and Affiliations

  • Richard Schlegel
    • 1
  1. 1.Department of PhysicsMichigan State UniversityEast LansingUSA

Personalised recommendations