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The Instructive Function of Mathematical Proof: A Case Study of the Analysis cum Synthesis method in Apollonius of Perga’s ConicsAxiomathes 31 (5): 601-617. 2021.This essay discusses the instructional value of mathematical proofs using different interpretations of the analysis cum synthesis method in Apollonius’ Conics as a case study. My argument is informed by Descartes’ complaint about ancient geometers and William Thurston’s discussion on how mathematical understanding is communicated. Three historical frameworks of the analysis/synthesis distinction are used to understand the instructive function of the analysis cum synthesis method: the directional…Read more
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Sewanee, The University of the SouthRegular Faculty
APA Central Division
Sewanee, Tennessee, United States of America
Areas of Specialization
Ancient Greek and Roman Philosophy |
Aristotle |
Plato |
Pre-Socratic Philosophy |