This volume of essays is dedicated to Wilbur Knorr (1945–1997), an outstanding historian of science whose career was cut short much too early. Inspired by Knorr's work, this volume concentrates on the history of ancient mathematics, the associated mathematical sciences, and their medieval and modern tradition.
This volume emulates the quality and diverse interests of Knorr's innovative, exact, and far-reaching research. Topics inspired by Knorr include a study of geometric analysis and synthesis in ancient Greece and medieval Islam; examination of Eudoxus as originator for the ideas of proportionality underlying Book V of “Euclid's Elements”; and the extent that Renaissance theorists of linear perspective had access to ancient sources. This book considers the status of Eudoxus's theory of homocentric spheres in Greek astronomy and the examination of the status of in Greek mathematics. A detailed discussion of the geometrical chemistry of Plato's “Timaeus” and its interpretation in antiquity stems from Knorr's work, and a study of Plato's concept of numbers and its relation to the Theory of Forms. Knorr's varied interests motivate investigation into the representation of numbers in the Latin middle ages, or why we read Arabic numbers backwards, and the history of science in a chronology of the three dynasties in ancient China.
was Lucie Stern Professor Emeritus
at CSLI, Stanford University. (1922–2014) (1931–2009) was professor of philosophy at
Stanford University. is professor of philosophy at California State University, Los Angeles.
- The Role and Development of Geometric Analysis and Synthesis in Ancient Greece and Medieval Islam
- Eudoxus: Parapegmata and Proportionality
- Pappus' Notes to Euclid's Optics
- The Trouble with Eudoxus
- Why Did Greek Mathematicians Publish Their Analyses?
- Plato's Geometrical Chemistry and Its Exgesis in Antiquity
- Plato on Numbers and Mathematics
- Why We Read Arabic Numerals Backwards
- The Chronology of the Three Dynasties