in Bayreuth (2011)
    Phil. Dept. Faculty)

Teaching Interests
Research Interests
Educational Background
Schedule
Office Hours


On Greek Mathematics and Philosophy of Mathematics

Vignettes of Ancient Mathematics 

Euclid in Nürnberg

Euclid in Nürnberg

College of Arts & letters

Henry Mendell
Prof.


Office: E&T 422
Phone: (323) 343-4178
<>FAX: (323) 343-4193
Email: hmendell@calstatela.edu (please note that this address has changed as of April 2006)

For 2010-2011, I am a visiting fellow at the Topoi Exzellenzcluster in Berlin.



TEACHING INTERESTS
I mostly teach ancient philosophy.  However, I also teach annually a course in the history of the philosophy of science, which focuses on astronomy and mathematics.  This course uses lots of graphics to illustrate Greek mathematics and astronomy, and spread sheets to illustrate Babylonian astronomy.  Some of this I have included in this WEB site. Others would be available on CD-ROM, had Apple not discontinued system 9 and Microsoft not discontinued DLL's for Mac.

I enjoy teaching logic.

I am enjoying my year in Berlin without teaching, although that is not quite correct, as I shall be co-teaching a class on Archimedes with Jonathan Beere in the Summer Semester at the Humboldt Universität.

RESEARCH INTERESTS

My principal areas of interest at present include ancient Greek philosophy (especially Aristotle and Plato), ancient Greek mathematics, ancient astronomy (especially Eudoxus). These focus on the relation between philosophical issues in ancient treatments of scientific problems and how ancient philosophers responded to those issues.  Current projects involve Aristotelian logic, decision theorems in Aristotle, conceptions of number in the 4th and 3rd century B.C.E, treatments of quantitative relations in Greek mathematics, infinitary arguments in Greek mathematics, the relation between first principles in Aristotle and in Greek mathematics, sources for Eudoxus, 4th cent. B.C.E. conceptions of astronomy, and Plato's analogy of the Divided Line, and his Phaedo. At the Topoi Exzellenzcluster, I am designing some on-line illustrations of Greek cosmology.

Representative Professional Activities
 
Date
Recent Publications
2009

“Plato by the Numbers.” in Logos and Language: Essays in Honour of Julius Moravacsik. Ed. by Dagfinn Føllesdal and John Woods. London: College Publications, 2009, pp. 141-76.

2007

"Two Traces of Two-Step Eudoxan Proportion Theory in Aristotle: A Tale of Definitions in Aristotle, With a Moral," Archive for History of the Exact Sciences, 61 (2007): 3-37

2005 "Putting Aristotle's Physics in its place: a discussion of B. Morison, On Location," Oxford Studies in Ancient Philosophy, 25 (Summer 2005), 327-66
2001 Eloge for Wilbur Knorr. Isis 92 (2001):  339-343
2001 with Pat Suppes and Julius Moravcsik (eds.). Ancient and Medieval Traditions in the Exact Sciences: Essays in Memory of Wilbur Knorr (Stanford: CSLI (distr. University of Chicago Press), 2001.
2001 "The Trouble with Eudoxus." In previous, 59-138
1998 "Making Sense of Aristotelian Demonstration." Oxford Studies in Ancient Philosophy, 16 (1998), 160-225.
1998 "Reflections on Eudoxus, Callippus and their Curves: Hippopedes and Callippopedes". Centauru, vol. 40, nr. 3-4 (1998), 177-275.

 
 
Date
On-Line Encyclopedia Articles
2003 Aristotle: Mathematics: Stanford Encyclopedia of Philosophy
2002 "Eudoxus," Britanica.com

 
Date
Some Recent and Future Talks and Activities
7-9 June 2007 "Ordinary Science in the Time of Plato," Science and philosophy in the Greco-Roman world, Central European University, Budapest
7-9 June 2007 "Ordinary Science in the Time of Plato," Science and philosophy in the Greco-Roman world, Central European University, Budapest
7 April 2007 "Aristotle's Physics and Mathematical Properties," Pacific APA
2-3 December 2006 "Ordinary Science in the Time of Plato," Symposium in honor of Julius Moravcsik, Stanford University
10-11 December 2004 "Aristotle's Physics and Mathematical Properties," Ancient Philosophy Conference held at USC
8 November 2004 "Pointwise Constructions, Somewhere," Conference in Memory of David Fowler, University of Warwick
28 October 2004 "How to Cut Plato's Line," Clark University (Boston Area Colloquia in Ancient Philosophy)


EDUCATIONAL BACKGROUND

Ph.D. Phil. 1986
Stanford University

Stanford, Cal.
B.A. Phil. 1974
St. John's College
Cambridge, U.K.
A.B. Classics & Phil. 1971
Cornell University
Ithaca, N.Y.


SCHEDULE (2010-2010)
 
Course Sect. No. Title Units Day & Time Room
On leave
0
On leave
0
   
           
           



OFFICE HOURS (2010)
 
Day Times
 

 

   
   
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