Originally published in 1949. This meticulously researched book presents a comprehensive outline and discussion of Aristotle’s mathematics with the author's translations of the greek. To Aristotle, mathematics was one of the three theoretical sciences, the others being theology and the philosophy of nature (physics). Arranged thematically, this book considers his thinking in relation to the other sciences and looks into such specifics as squaring of the circle, syllogism, parallels, incommensurability of the diagonal, angles, universal proof, gnomons, infinity, agelessness of the universe, surface of water, meteorology, metaphysics and mechanics such as levers, rudders, wedges, wheels and inertia. The last few short chapters address ‘problems’ that Aristotle posed but couldn’t answer, related ethics issues and a summary of some short treatises that only briefly touch on mathematics.
Table of Contents
Preface 1. Introduction 2. Categories 3. Prior Analytics 4. Posterior Analytics 5. Topics 6. Physics 7. De Caelo 8. Meteorology 9. De Anima 10. Metaphysics 11. Mechanics 12. Treatise on Indivisible Lines 13. Problems: Book XV 14. Problems: Book XVI 15. Problems: Book XXIII 16. Nichomachean and Eudemian Ethics 17. De Motu Animalium 18. De Incessu Animalium