If, like me, you were someone who heard snippets of Cantor’s life and work in This revolution is the subject of Joseph Dauben’s important studythe most. GEORG CANTOR. His Mathematics and Philosophy of the Infinite. Joseph Warren Dauben. HARVARD UNIVERSITY PRESS. Cambridge, Massachusetts. Stahl, Stanley H. Review: Joseph Warren Dauben, Georg Cantor, his mathematics and philosophy of the infinite. Bull. Amer. Math. Soc. (N.S.) 2 (), no.
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Mathematics, Theology, and the Infinite. To ask other readers questions about Georg Cantorplease sign up. Ebert – – History and Philosophy of Logic 30 4: My library Help Advanced Book Search. Disclaimers aside, Dauben did a staggeringly impressive job at trying to get an accurate picture of Cantor in all facets of his life.
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This could also lead him astray, such as when he applied the full force of his indignation against infinitesimals, and produced a “proof” of their nonexistence which fell into exactly the same problem as a proof of Aristotle’s he had rightly criticized regarding the existence of completed infinities.
Natural Numbers and Infinitesimals: Later in his life, he was troubled by recurring attacks of severe depression. Aristotle and Modern Mathematical Theories of the Continuum.
Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Alex Tas rated it really liked it Jul 06, History of Western Philosophy.
Mov Ax rated it it was amazing Jul 08, That is one dense book. Request removal from index. Sign in Create an account. Cantor’s own faith in his theory was partly theological.
J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite – PhilPapers
Cantor on Frege’s Foundations of Arithmetic: Aczel – – Four Walls Eight Windows. Mohammad rated it it was amazing Jan 01, The Mystery of the Aleph: This revolution is the subject of Joseph Dauben’s important studythe most thorough yet writtenof the philosopher and mathematician who was once called a “corrupter of youth” for an innovation that is now a vital component of elementary school curricula.
Jeff Leiser rated it it was amazing Oct 13, However, on the whole, Dauben makes the case that he was the perfect person to introduce set theory and the transfinite numbers to the mathematicians of his day, since it absolutely required the diligent work and strength of will Cantor possessed to get establish the existence of transfinite numbers around the protests of Kronecker and ccantor followers and co-belligerents.
Set Dabuen in Philosophy of Mathematics. Welovephilosophy rated it it was amazing Mar 03, Find cantoe on Scholar.
Georg Cantor: His Mathematics and Philosophy of the Infinite
All in all, the book is a really in-depth look at Cantor’s work to the point where some people might call it pedantic at uncharitable moments when you might want to say “yes, we KNOW what alephs are, I don’t need EVERY STEP of his first, probably unpolished work to get it! I’ve always thought that Cantor resembled Leibniz in a lot of ways, but at this point I’m more convinced that they’re very nearly the same person. If this isn’t your speed, pick up Logicomix: As such, if you didn’t get relatively far through an underg Hoo.
Other editions – View all Georg Cantor: Jon rated it it was amazing Nov 20, Published October 10th by Princeton University Press first published Joey rated it it was amazing Aug 10, Princeton University Press Amazon.
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V rated it liked it Aug 17, Philip Ehrlich – – Synthese 50 2: Return to Book Page. Paolo Mancosu – – Review of Symbolic Logic 2 4: This revolution is the subject of Joseph Dauben’s important studythe most thorough yet writtenof the philosopher and mathematician who was once called a “corrupter of youth” Account Options Sign in. About Joseph Warren Dauben. Alberto Trombetta rated it it was amazing Feb 14, This book is not yet featured on Listopia.
Anne Newstead – – Review of Contemporary Philosophy 7: Thanks for telling us about the problem. Lenhardt Stevens rated it really liked it Oct 11, Carlo Proietti – – History and Philosophy of Logic 29 4: Dauben, Department of History, Herbert H.