Aristotle and Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aristotle and Mathematics write by John J. Cleary. This book was released on 2016-06-21. Aristotle and Mathematics available in PDF, EPUB and Kindle. 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 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics in Aristotle write by Thomas Heath. This book was released on 1998. Mathematics in Aristotle available in PDF, EPUB and Kindle. 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 on Mathematical Infinity
Aristotle on Mathematical Infinity - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Aristotle on Mathematical Infinity write by Theokritos Kouremenos. This book was released on 1995. Aristotle on Mathematical Infinity available in PDF, EPUB and Kindle. 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.
An Aristotelian Realist Philosophy of Mathematics
An Aristotelian Realist Philosophy of Mathematics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Aristotelian Realist Philosophy of Mathematics write by J. Franklin. This book was released on 2014-04-09. An Aristotelian Realist Philosophy of Mathematics available in PDF, EPUB and Kindle. 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 in Aristotle
Mathematics in Aristotle - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Mathematics in Aristotle write by Thomas Heath. This book was released on 2015-08-14. Mathematics in Aristotle available in PDF, EPUB and Kindle. 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.
