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Ancient Philosophy and Mathematics >> Content Detail



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Readings are also listed by session.



Textbooks


Amazon logo Bacon, Francis. Novum Organon. Indianapolis, IN: Bobbs-Merrill, 1960. ISBN: 9780672602894.

Descartes, Rene. Rules for Direction of the Mind. Translated by Laurence J. Lafleur. Indianapolis, IN: Bobbs-Merrill, 1964.

Amazon logo ———. Geometry. Translated by Paul J. Olscamp. Indianapolis, IN: Hackett Pub., 2001. ISBN: 9780872205673.

Newton, Isaac. Arithmetica Universalis.

Dedekind, Richard. Essays on the Theory of Numbers. Vol 2, The Nature and Meaning of Numbers. New York, NY: Dover Publications, 1963.

Amazon logo Theon of Smyrna. Mathematics Useful for Understanding Plato. Translated by R. D. Lawlor. Mecosta, MI: Wizard's Bookshelf, 1978. ISBN: 9780913510247.

Amazon logo Plato. Meno. 2nd ed. Indianapolis, IN: Hackett Pub. Co., 1976. ISBN: 9780915144242.

Amazon logo ———. Protagoras. Translated by Stanley Lombardo and Karen Bell. Indianapolis, IN: Hackett Pub. Co., 1992. ISBN: 9780872200944.

Amazon logo ———. Theatetus. Translated by Robin H. Waterfield. New York, NY: Penguin Classics, 1987. ISBN: 9780140444506.

Amazon logo ———. Republic. Translated by R. E. Allen. New Haven, CT: Yale University Press, 2006. ISBN: 9780300114515.

Amazon logo Aristotle. Nicomachean Ethics. Translated by Christopher Rowe. New York, NY: Oxford University Press, 2002. ISBN: 9780198752714.

Amazon logo Euclid. Elements. Translated by Thomas L. Heath. Santa Fe, NM: Green Lion Press, 2002. ISBN: 9781888009194.

Nicomachus. Introduction to Arithmetic. Translated by Martin Luther D'Ooge. New York, NY: The Macmillan Co., 1926.



Readings by Session



SES #TOPICSREADINGS
1Introduction
Ancient and Modern Knowing
2Knowledge as Power/Knowledge as Virtue

Bacon, Francis. Novum Organon. (excerpts)

Descartes, Rene. Rules for Direction of the Mind. (excerpts)

Plato. Meno.

3The Idea of a Proof

Descartes, Rene. Geometry. (excerpts)

Euclid. Elements. Book I and II. (selected proofs)

Pappus. Commentary on Euclid. Book I. (excerpt)

Logos and Arithmos
4Logos as Definition- What is "What is?"Euclid. Elements. Book V. (selected definitions and proofs)
5Logos as Ratio, Magnitude and Multitude, Quality and Quantity

Euclid. Elements. Book VII. (selected definitions and proofs)

Aristotle. Categories. Chapters 6-8.

6The Greek Conception of NumberNicomachus of Gerasa. Introduction to Arithmetic.
7The Idea of Number: Ancient vs. Modern

Newton, Isaac. Arithmetica Universalis. (excerpt)

Dedekind, Richard. The Nature and Meaning of Numbers.

Measuring the Unmeasurable
8Putting the Irrational in Ratio

Aristotle. Prior Analytics. 41a, 50a.

Euclid. Elements. Books V, VII, and X. Def. 5. (selected proofs)

9Fitting Ideas to the WorldPlato. The Republic.
10Fitting Ideas to the World (cont.)Plato. The Republic.
11The Truth as a Surd

Euclid. Elements. Book XII. (selected proofs)

Theon of Smyrna. Mathematics Useful for Understanding.

12The Truth as a Surd (cont.)

Euclid. Elements. Book XII. (selected proofs)

Theon of Smyrna. Mathematics Useful for Understanding.

The Limits of Mathematics
13A. Plato, ProtagorasPlato. Protagoras.
14B. Aristotle, Nicomachean EthicsAristotle. Nicomachean Ethics.
15Review

 








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