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Anaximander’s Numbers: The Dimensions of the Universe

  • Dirk L. Couprie
Chapter
Part of the Astrophysics and Space Science Library book series (ASSL, volume 374)

Abstract

In this chapter, I deal with the problems that arise when we try to draw a map of Anaximander’s universe, and suggest ways to solve them. In discussing several authors who have studied the subject, I will point out some bothersome inconsistencies and mistakes in their renditions. One problem, however, which has not been noticed before, will prove to be insolvable within the context of the doxographical evidence. I argue that the only way to meet this problem is to look upon it as circumstantial evidence for the supposition that Anaximander never made a three-dimensional model whatsoever of his conception of the universe.

Keywords

Celestial Body Standard Interpretation Astronomical Unit Angular Diameter Summer Solstice 
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.

References

  1. Burch, George B. 1949–1950. Anaximander, the First Metaphysician. Review of Metaphysics 3: 137–160.Google Scholar
  2. Conche, Marcel. 1991. Anaximandre. Fragments et Témoignages. Paris: PUF.Google Scholar
  3. Cornford, Francis M. 1934. Innumerable Worlds in Presocratic Philosophy. The Classical Quarterly 28: 1–16.CrossRefGoogle Scholar
  4. Couprie, Dirk L. 2001a. Anaximander’s Discovery of Space. In Anthony Preus, ed. Before Plato. Essays in Ancient Greek Philosophy VI, 23–48. SUNY: Albany.Google Scholar
  5. Couprie, Dirk L. 2003. The Discovery of Space: Anaximander’s Astronomy. In Dirk L. Couprie, Robert Hahn, and Gerard Naddaf, eds. Anaximander in Context, 164–254. SUNY: Albany.Google Scholar
  6. Couprie, Dirk L. 2008. Anaxagoras and Aristotle on the Sun at the Horizon. Hyperboreus 14: 39–49.Google Scholar
  7. Couprie, Dirk L. 2009a. Problems with Anaximander’s Numbers. Apeiron 42: 167–184.Google Scholar
  8. Couprie, Dirk L. 2010. Review of Robert Hahn, Archaeology and the Origins of Philosophy. Aestimatio, http://www.Google Scholar
  9. Diels, Hermann. 1897. Über Anaximander’s Kosmos. Archiv für Geschichte der Philosophie 10: 228–237.Google Scholar
  10. Diels, Hermann. 1923a. Anaximandros von Milet. Neue Jahrbücher für das klassische Altertum 51: 65–75 (Also in Kleine Schriften zur Geschichte der Philosophie, 1–11).Google Scholar
  11. Diels, Hermann. 1923b. Kleine Schriften zur Geschichte der Philosophie. Hildesheim (reprint 1969. Darmstadt: Wissenschaftliche Buchgesellschaft).Google Scholar
  12. Dumont, Jean-Paul. 1988. Les Présocratiques. Paris: Gallimard.Google Scholar
  13. Engmann, Joyce. 1991. Cosmic Justice in Anaximander. Phronesis 36(1): 1–25.CrossRefGoogle Scholar
  14. Hahn, Robert. 2001. Anaximander and the Architects. The Contributions of Egyptian and Greek Architectural Technologies on the Origins of Greek Philosophy. SUNY: Albany.Google Scholar
  15. Heath, Thomas. 1913. Aristarchus of Samos. The Ancient Copernicus. Oxford: Clarendon Press.Google Scholar
  16. Kahn, Charles H. 1994. Anaximander and the Origins of Greek Cosmology, Indianapolis: Hackett Publishing Company, Inc. (repr. of revised 2d ed.1985, Philadelphia PA: Centrum Philadelphia; first ed. 1960, New York: Columbia University Press).Google Scholar
  17. Kirk, Geoffrey S., John E. Raven and Malcolm Schofield. 2009. The Presocratic Philosophers. Cambridge: Cambridge University Press (repr. of 2d ed. 1983).Google Scholar
  18. Martin, Th. Henri. 1879. Mémoire sur les hypothèses astronomiques des plus anciens philosophes de la Grèce étrangers à la notion de la sphéricité de la Terre. Mémoires de l’Institut National de France, Académie des Inscriptions et Belles-Lettres, tôme XXIX, 2e partie: 29–252 (reprint New York 1976).Google Scholar
  19. Naddaf, Gerard. 2001. ‘Anaximander’s Measurements Revisited’. In Anthony Preus, ed. Before Plato. Essays in Ancient Greek Philosophy VI, 5–21. SUNY: Albany.Google Scholar
  20. Naddaf, Gerard. 2005. The Greek Concept of Nature. SUNY: Albany.Google Scholar
  21. O’Brien, Dennis. 1967. Anaximander’s Measurements. The Classical Quarterly 17: 423–432.CrossRefGoogle Scholar
  22. Panchenko, Dmitri. 1994b. ῞Ομοιος and ὁμοιότης in Thales and Anaximander. Hyperboreus 1: 28–55.Google Scholar
  23. Pannekoek, Anton. 1961. A History of Astronomy. New York: Dover Publications.Google Scholar
  24. Rescher, Nicholas. 1958. Cosmic Evolution in Anaximander. Studium Generale 11: 718–731. [Reprinted (with small modifications) in 1982, Essays in Philosophical Analysis, 3–32. Washington, DC: University Press of America (repr. of 1969. Pittsburgh: The University of Pittsburg Press)].Google Scholar
  25. Tannery, Paul. 1887. Pour l’histoire de la science hellène: de Thalès à Empédocle. Paris: Félix Alcan (repr. 1930, Paris: Gauthier-Villars et Cie and 1987, New York: Garland Publishing).Google Scholar
  26. Tannery, Paul. 1897. Pseudonymes antiques’. Revue des études grecques 10: 127–137.Google Scholar
  27. White, Stephen A. 2008. Milesian Measures: Time, Space, and Matter’. In Patricia Curd and Daniel W. Graham, eds., The Oxford Handbook of Presocratic Philosophy, 89–133. Oxford: Oxford University Press.Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  • Dirk L. Couprie
    • 1
  1. 1.MaastrichtNetherlands

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