Aristotle And Mathematics
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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.
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.
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: Burns & Oates
Release Date : 1993
Mathematics In Aristotle written by Sir Thomas Little Heath and has been published by Burns & Oates this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Mathematics 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. Copyright © Libri GmbH. All rights reserved.
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.
Mathematics In Aristotle
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Author : Thomas L. Heath
language : en
Publisher:
Release Date : 1970
Mathematics In Aristotle written by Thomas L. Heath and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Mathematics In Aristotle
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Author : Aristote
language : en
Publisher:
Release Date : 1970
Mathematics In Aristotle written by Aristote and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics, Greek categories.
Mathematics In Aristotle
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Author : Sir Thomas Little Heath
language : en
Publisher: Hassell Street Press
Release Date : 2021-09-09
Mathematics In Aristotle written by Sir Thomas Little Heath and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-09 with categories.
This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Mathematics A Concise History And Philosophy
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Author : W.S. Anglin
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Mathematics A Concise History And Philosophy written by W.S. Anglin and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
This is a concise introductory textbook for a one-semester (40-class) course in the history and philosophy of mathematics. It is written for mathemat ics majors, philosophy students, history of science students, and (future) secondary school mathematics teachers. The only prerequisite is a solid command of precalculus mathematics. On the one hand, this book is designed to help mathematics majors ac quire a philosophical and cultural understanding of their subject by means of doing actual mathematical problems from different eras. On the other hand, it is designed to help philosophy, history, and education students come to a deeper understanding of the mathematical side of culture by means of writing short essays. The way I myself teach the material, stu dents are given a choice between mathematical assignments, and more his torical or philosophical assignments. (Some sample assignments and tests are found in an appendix to this book. ) This book differs from standard textbooks in several ways. First, it is shorter, and thus more accessible to students who have trouble coping with vast amounts of reading. Second, there are many detailed explanations of the important mathematical procedures actually used by famous mathe maticians, giving more mathematically talented students a greater oppor tunity to learn the history and philosophy by way of problem solving.
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.