Mathematics In Aristotle
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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.
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 : 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.
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 : 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.
The Continuous The Discrete And The Infinitesimal In Philosophy And Mathematics
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Author : John L. Bell
language : en
Publisher: Springer Nature
Release Date : 2019-09-09
The Continuous The Discrete And The Infinitesimal In Philosophy And Mathematics written by John L. Bell and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-09-09 with Mathematics categories.
This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.
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 : 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.