Aristotle and Mathematics: Aporetic Method in Cosmology and MetaphysicsBRILL, 21.6.2016 - 598 sivua John Cleary here explores the role which the mathematical sciences play in Aristotle's philosophical thought, especially in his cosmology, metaphysics, and epistemology. He also thematizes the aporetic method by means of which he deals with philosophical questions about the foundations of mathematics. The first two chapters consider Plato's mathematical cosmology in the light of Aristotle's critical distinction between physics and mathematics. Subsequent chapters examine three basic aporiae about mathematical objects which Aristotle himself develops in his science of first philosophy. What emerges from this dialectical inquiry is a different conception of substance and of order in the universe, which gives priority to physics over mathematics as the cosmological science. Within this different world-view, we can better understand what we now call Aristotle's philosophy of mathematics. |
Sisältö
The Academic Background | 1 |
Aristotles Criticism of Platos Mathematical Cosmology | 71 |
Problems about Mathematical Objects | 143 |
Aristotles Dialectical Method | 199 |
The Ontological Status of Mathematical Objects | 268 |
The Perfection of the Cosmos | 345 |
Aristotles Philosophy of Mathematics | 424 |
General Conclusion | 495 |
Bibliography | 505 |
Index Locorum | 529 |
546 | |
PHILOSOPHIA ANTIQUA | 559 |
Muita painoksia - Näytä kaikki
Aristotle and Mathematics: Aporetic Method in Cosmology and Metaphysics John J. Cleary Rajoitettu esikatselu - 1995 |
Yleiset termit ja lausekkeet
Anaxagoras aporia Apostle appear argues argument Aristotelian Aristotle Aristotle says Aristotle's assumption astronomy attributes belong bodies Cael Caelo cause claim clear concept contrast cosmology cosmos definition Demiurge Democritus dialectical difficulties distinction divisible elements ematical entities essence eternal Euclid's Elements exist explain fact fire Form Numbers geometry Greek implications indivisible infinite inquiry instance intellect intelligible Intermediates ISBN 90 kind logical magnitude math mathematical objects mathematical sciences mathematicians matter means Metaph Metaphysics mode motion nature ontological parallel particular passage perception philosophy philosophy of mathematics Phronesis physical planes Plato Platonic Forms Platonists position possible Posterior Analytics predication primary principles prior priority problem Pythagoreans quantity question reason reference seems sense sensible substances sensible things separated Socrates solids soul Speusippus suggests supersensible substance Syrianus theory thinkers Timaeus tion triangles units unity universe unmoved mover W.D. Ross whereas whole Xenocrates καὶ τὰ τὸ τῶν