Aristotle And Mathematics
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Mathematics In Aristotle
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Author : Thomas Heath
language : en
Publisher: Routledge
Release Date : 2015-08-14
Mathematics In Aristotle written by Thomas Heath and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-14 with Philosophy categories.
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.
Mathematics In Aristotle
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Author : Thomas Heath
language : en
Publisher: St. Augustine's Press
Release Date : 1998
Mathematics In Aristotle written by Thomas Heath and has been published by St. Augustine's Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics, Ancient categories.
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.
Aristotle And Mathematics
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Author : John J. Cleary
language : en
Publisher: BRILL
Release Date : 1995
Aristotle And Mathematics written by John J. Cleary and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with Philosophy categories.
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.
Aristotle And Mathematics
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Author : John J. Cleary
language : en
Publisher: BRILL
Release Date : 2016-06-21
Aristotle And Mathematics written by John J. Cleary and has been published by BRILL this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-21 with Philosophy categories.
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.
Aristotle On Mathematical Infinity
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Author : Theokritos Kouremenos
language : en
Publisher: Franz Steiner Verlag
Release Date : 1995
Aristotle On Mathematical Infinity written by Theokritos Kouremenos and has been published by Franz Steiner Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995 with History categories.
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 does not square with Euclidean geometry and it also seems to contravene Aristotle's belief in the finitude of the physical universe. This monograph, the first thorough study of the issue, puts Aristotle's views on infinity in the proper perspective. Through a close study of the relevant Aristotelian passages it shows that the Stagirite's theory of infinity forms a well argued philosophical position which does not bear on his belief in a finite cosmos and does not undermine the Euclidean nature of geometry. The monograph draws a much more positive picture of Aristotle's views and reaffirms his disputed stature as a serious philosopher of mathematics. This innovative and stimulating contribution will be essential reading to a wide range of scholars, including classicists, philosophers of science and mathematics as well as historians of ideas.
Mathematics In Aristotle
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Author : Sir Thomas Little Heath
language : en
Publisher: Facsimiles-Garl
Release Date : 1980
Mathematics In Aristotle written by Sir Thomas Little Heath and has been published by Facsimiles-Garl this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
An Aristotelian Realist Philosophy Of Mathematics
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Author : J. Franklin
language : en
Publisher: Springer
Release Date : 2014-04-09
An Aristotelian Realist Philosophy Of Mathematics written by J. Franklin and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-04-09 with Mathematics categories.
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.
Mathematics And Metaphysics In Aristotle
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Author : Andreas Graeser
language : de
Publisher:
Release Date : 1987
Mathematics And Metaphysics In Aristotle written by Andreas Graeser and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Greek Mathematical Thought And The Origin Of Algebra
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Author : Jacob Klein
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Greek Mathematical Thought And The Origin Of Algebra written by Jacob Klein and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
Important study focuses on the revival and assimilation of ancient Greek mathematics in the 13th-16th centuries, via Arabic science, and the 16th-century development of symbolic algebra. 1968 edition. Bibliography.