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The Pythagorean Table of Opposites, Symbolic Classification, and Aristotle

Published online by Cambridge University Press:  21 May 2015

Owen Goldin
Owen Goldin*
Affiliation:
Marquette University E-mail: [email protected]
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Argument

At Metaphysics A 5 986a22-b2, Aristotle refers to a Pythagorean table, with two columns of paired opposites. I argue that 1) although Burkert and Zhmud have argued otherwise, there is sufficient textual evidence to indicate that the table, or one much like it, is indeed of Pythagorean origin; 2) research in structural anthropology indicates that the tables are a formalization of arrays of “symbolic classification” which express a pre-scientific world view with social and ethical implications, according to which the presence of a principle on one column of the table will carry with it another principle within the same column; 3) a close analysis of Aristotle's arguments shows that he thought that the table expresses real causal relationships; and 4) Aristotle faults the table of opposites with positing its principles as having universal application and with not distinguishing between those principles that are causally prior and those that are posterior. Aristotle's account of scientific explanation and his own explanations that he developed in accordance with this account are in part the result of his critical encounter with this prescientific Pythagorean table.

Type
Research Article
Information
Science in Context , Volume 28 , Issue 2 , June 2015 , pp. 171 - 193
Copyright
Copyright © Cambridge University Press 2015 

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References

Annas, Julia. 1976. Aristotle's Metaphysics Books M and N. Oxford: Clarendon Press.Google Scholar
Braunlich, Alice F. 1936. “‘To the Right’ in Homer and Attic Greek.” American Journal of Philology 57 (3):245–260.CrossRefGoogle Scholar
Bremmer, Jan. 1999. “Rationalization and Disenchantment in Ancient Greece: Max Weber among the Pythagoreans and Orphics?” In From Myth to Reason: Studies in the Development of Greek Thought, edited by Buxton, Richard, 71–83. Oxford: Oxford University Press.CrossRefGoogle Scholar
Burkert, Walter. 1972. Lore and Science in Ancient Pythagoreanism. Cambridge: Harvard University Press.Google Scholar
Burnet, John. 1948. Early Greek Philosophy, 4th ed.London: Adam and Charles Black.Google Scholar
Cornford, Frances McDonald. [1912] 1991. From Religion to Philosophy: A Study in the Origins of Western Speculation. Princeton: Princeton University Press.Google Scholar
Dillon, John. 1976. “Symbol and Analogy: Three Basic Concepts of Neoplatonic Allegorical Exegesis.” In The Significance of Neoplatonism, edited by Harris, Ransom Baine, 247–262. Norfolk VA: International Society for Neoplatonic Studies.Google Scholar
Dillon, John M., and Hershbell, Jackson P.. 1991. Iamblichus: On the Pythagorean Way of Life. Atlanta: Scholars’ Press.Google Scholar
Durkheim, Émile. 1912. The Elementary Forms of the Religious Life. Translated by Swain, Joseph Ward. London: Allen & Unwin.Google Scholar
Eliade, Mircea. 1958. Patterns in Comparative Religion. Translated by Sheed, Rosemary. New York: Sheed & Ward.Google Scholar
Frank, Erich. 1923. Plato und die sogenannten Pythagoreer: Ein Kapitel aus der Geschichte des griechischen Geistes. Halle: Niemeyer.Google Scholar
Goldin, Owen. 2010. “Cosmic Orientation in Aristotle's De Caelo.” In Proceedings of the Boston Area Colloquium in Ancient Philosophy 26, edited by Gurtler, Gary, 91–117. Leiden: Brill.Google Scholar
Hallpike, Christopher R. 1980. The Foundations of Primitive Thought. Oxford: Clarendon Press.Google Scholar
Hertz, Robert. 1960. Death and the Right Hand. Translated by Rodney and Claudia Needham. London: Cohen and West.Google Scholar
Huffman, Carl. 1993. Philolaus of Croton: Pythagorean and Presocratic. Cambridge: Cambridge University Press.Google Scholar
Huffman, Carl. 2005. Archytas of Tarentum: Pythagorean, Philosopher and Mathematician King. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Huffman, Carl. 2013. “Alcmaeon.” In The Stanford Encyclopedia of Philosophy (Summer 2013 Edition), edited by Zalta, Edward N., http://plato.stanford.edu/archives/sum2013/entries/alcmaeon. Last accessed Dec. 29, 2014.Google Scholar
Huffman, Carl. 2014. “Pythagoreanism.” In The Stanford Encyclopedia of Philosophy (Winter 2014 Edition), edited by Zalta, Edward N., http://plato.stanford.edu/archives/win2014/entries/pythagoreanism. Last accessed Dec. 29, 2014.Google Scholar
Humphreys, Sarah C. 1978. Anthropology and the Greeks. London: Routeledge and Kegan Paul.Google Scholar
Kahn, Charles. 2001. Pythagoras and the Pythagoreans: A Brief History. Indianapolis: Hackett.Google Scholar
Lennox, James. 2001. Aristotle's Philosophy of Biology: Studies in the Origin of Life Science. Cambridge: Cambridge University Press.Google Scholar
Lennox, James. 2009. “De caelo II 2 and its Debt to De Incessu Animalium.” In New Perspectives on Aristotle's De Caelo (Philosophia Antiqua Vol. 117), edited by Bowen, Alan C. and Wildberg, Christian, 147–214. Leiden and Boston: Brill.Google Scholar
Lloyd, Geoffrey E. R. 1964. “The Hot and the Cold, the Dry and the Wet in Greek Philosophy.” Journal of Hellenic Studies 84:92–106.CrossRefGoogle Scholar
Lloyd, Geoffrey E. R. 1966. Polarity and Analogy: Two Types of Argumentation in Early Greek Thought. Cambridge: Cambridge University Press.Google Scholar
Lloyd, Geoffrey E. R. 1991. Methods and Problems in Greek Science. Cambridge: Cambridge University Press.Google Scholar
Mueller, Ian. 2004. Simplicius, On Aristotle's “On the Heavens” 2.1–9. The Ancient Commentators on Aristotle. Ithaca: Cornell University Press.Google Scholar
Parking, Robert. 1996. The Dark Side of Humanity: The Work of Robert Hertz and Its Legacy. Amsterdam: Harwood Academic Publishers.Google Scholar
Riedweg, Christoph 2008. Pythagoras: His Life, Teaching, and Influence, 2nd. ed.Ithaca: Cornell University Press.Google Scholar
Taran, Leonardo. 1981. Speusippus of Athens: A Critical Study with a Collection of the Related Texts and Commentary (Philosophia Antiqua Vol. 39). Leiden: Brill.CrossRefGoogle Scholar
Vidal-Naquet, Pierre. 1986. The Black Hunter: Forms of Thought and Forms of Society in the Greek World. Translated by Szegedy-Maszak, Andrew. Baltimore: Johns Hopkins University Press.CrossRefGoogle Scholar
Węcowski, Marek. 2014. “Anaximander the Younger (9).” Brill's New Jacoby. Editor in Chief: Ian Worthington. Brill Online, 2014. http://www.encquran.brill.nl/entries/brill-s-new-jacoby/anaximander-the-younger-9-a9. Last accessedDec 29, 2014.Google Scholar
Zhmud, Leonid. 1998. “Some Notes on Philolaus and the Pythagoreans.” Hyperboreus 4 (Fasc. 2):243–70.Google Scholar
Zhmud, Leonid. 2012. Pythagoras and the Early Pythagoreans. Oxford: Oxford University Press.CrossRefGoogle Scholar