Aristotle and Mathematics
Aristotle and Mathematics

Author: John J. Cleary

Publisher: BRILL

Published: 2016-06-21

Total Pages: 597

ISBN-13: 9004320903

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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.

Mathematics in Aristotle
Mathematics in Aristotle

Author: Thomas Heath

Publisher: St. Augustine's Press

Published: 1998

Total Pages: 0

ISBN-13: 9781855065642

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This is a detailed exposition of Aristotelian mathematics and mathematical terminology. It contains clear translations of all the most important passages on mathematics in the writings of Aristotle, together with explanatory notes and commentary by Heath. Particularly interesting are the discussions of hypothesis and related terms, of Zeno's paradox, and of the relation of mathematics to other sciences. The book includes a comprehensive index of the passages translated.

Mathematics in Aristotle
Mathematics in Aristotle

Author: Thomas Heath

Publisher: Routledge

Published: 2015-08-14

Total Pages: 374

ISBN-13: 1317380592

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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.

The Metaphysics
The Metaphysics

Author: Aristotle

Publisher: Courier Dover Publications

Published: 2018-01-16

Total Pages: 353

ISBN-13: 0486817490

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The ancient Greek thinker refutes skepticism, demonstrates God's existence, compares metaphysics to the other sciences, elucidates the nature of the infinite, and explores other major philosophical issues.

Aristotle's Metaphysics
Aristotle's Metaphysics

Author: Aristotle

Publisher: Oxford University Press, USA

Published: 1976

Total Pages: 278

ISBN-13:

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Joe Sachs has followed up his brilliant translation of Aristotle's Physics with a new translation of Metaphysics. Sachs's translations bring distinguished new light onto Aristotle's works, which are foundational to history of science. Sachs translates Aristotle with an authenticity that was lost when Aristotle was translated into Latin and abstract Latin words came to stand for concepts Aristotle expressed with phrases in everyday Greek language. When the works began being translated into English, those abstract Latin words or their cognates were used, thus suggesting a level of jargon and abstraction, and in some cases misleading interpretation, which was not Aristotle's language or style. These important new translations open up Aristotle's original thought to readers.

On Aristotle's "Metaphysics 13-14"
On Aristotle's

Author: Syrianus

Publisher:

Published: 2006

Total Pages: 264

ISBN-13:

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Syrianus, originally from Alexandria, moved to Athens and became the head of the Academy there after the death of Plutarch of Athens. Syrianus attacked Aristotle in his commentary on Books 13 and 14 of the "Metaphysics", just as his pupil Proclus was to do later in his commentaries on Plato. This is because in "Metaphysics 13-14", Aristotle himself was being thoroughly polemical towards Platonism, in particular against the Academic doctrine of Form-numbers and the whole concept of separable number. In reply, Syrianus gives an account of mathematical number and of geometrical entities, and of how all of these are processed in the mind, which was to influence Proclus and all subsequent Neoplatonists.