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.
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.
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.
The Infinite
The Infinite - 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 The Infinite write by A. W. Moore. This book was released on 1990. The Infinite available in PDF, EPUB and Kindle. This historical study of the infinite covers all its aspects from the mathematical to the mystical. Anyone who has ever pondered the limitlessness of space and time, or the endlessness of numbers, or the perfection of God will recognize the special fascination of the subject. Beginning with an entertaining account of the main paradoxes of the infinite, including those of Zeno, A.W. Moore traces the history of the topic from Aristotle to Kant, Hegel, Cantor, and Wittgenstein.
Naming Infinity
Naming 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 Naming Infinity write by Loren Graham. This book was released on 2009-03-31. Naming Infinity available in PDF, EPUB and Kindle. In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
