This book examines Aristotle's critical reaction to the mathematical cosmology of Plato's Academy, and traces the aporetic method by which he developed his own cosmological and metaphysical views, which underpin his philosophy of mathematics.
Type: BOOK - Published: 1995-05-01 - Publisher: BRILL
This book examines Aristotle's critical reaction to the mathematical cosmology of Plato's Academy, and traces the aporetic method by which he developed his own cosmological and metaphysical views, which underpin his philosophy of mathematics.
Type: BOOK - Published: 1995 - Publisher: Franz Steiner Verlag
Aristotle was the first not only to distinguish between potential and actual infinity but also to insist that potential infinity alone is enough for mathematics thus initiating an issue still central to the philosophy of mathematics. Modern scholarship, however, has attacked Aristotle's thesis because, according to the received doctrine, it
Authors: W. K. C. Guthrie, William Keith Chambers Guthrie
Categories: Philosophy
Type: BOOK - Published: 1990-03-29 - Publisher: Cambridge University Press
With this book, Professor Guthrie completed his six-volume A History of Greek Philosophy in the course of which he surveyed the whole field of Greek philosophy from the Presocratics to Aristotle. The History has won acclaim for the author's ability to take on a vast and challenging subject and to
Type: BOOK - Published: 2014-04-09 - Publisher: Springer
Mathematics is as much a science of the real world as biology is. It is the science of the world's quantitative aspects (such as ratio) and structural or patterned aspects (such as symmetry). The book develops a complete philosophy of mathematics that contrasts with the usual Platonist and nominalist options.
Type: BOOK - Published: 2015-08-14 - Publisher: Routledge
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