Ptolemy in philosophical context: A study of the relationships between physics, mathematics, and theology

Table of Contents......Page 0
1. Introduction......Page 8
2. Ptolemy on the Definitions of Physics, Mathematics, and Theology......Page 24
2.1. Aristotle’s Division of Knowledge......Page 25
2.2. Ptolemy’s Definitions of Physics, Mathematics, and Theology......Page 30
2.3. Knowledge and Conjecture: The Epistemic Value of Physics, Mathematics, and 
Theology......Page 46
2.4. The Contribution of Astronomy to the Study of Theology......Page 71
2.5. Conclusion......Page 73
3. Ptolemy on the Definitions of Physics, Mathematics, and Theology......Page 75
3.1. Harmonia......Page 76
3.2. Mathematical Objects as Beautiful......Page 98
3.3. Harmonic Ratios in the Human Soul......Page 104
3.4. Harmonic Ratios in the Heavens......Page 110
3.5. The Relationship between Harmonics and Astronomy......Page 119
3.6. Observation as a Criterion and Mathematics’ Contribution to Physics......Page 155
4. Ptolemy’s Epistemology and Ontology of Physics......Page 159
4.1. Astrology......Page 160
4.2. The Nature of the Human Soul......Page 180
4.3. The Three Faculties of the Human Soul in On the Kritêrion and Hêgemonikon......Page 185
4.4. The Models of the Human Soul in the Harmonics......Page 192
4.5. Celestial Souls and Bodies in Planetary Hypotheses 2......Page 208
4.6. Conclusion......Page 226
5. Conclusion......Page 228
Bibliography......Page 236