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. Mov Ax rated it it was amazing Jul 08, Princeton University Press Amazon. Shawn King rated it it was amazing Oct 16, Frank Aiello rated it it was amazing Jun 30, Books by Joseph Warren Dauben.
In Cantor you get a driven, explicitly religious motivation driving nearly all his work, and also helping him fend of the slings and arrows of finitists and intuitionists alike. Goodreads helps you keep track of books you want to read. Added to PP index Total downloads 59of 2, Recent downloads 6 months 5of 2, How can I increase my downloads?
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Georg Cantor: His Mathematics and Philosophy of the Infinite – Joseph Warren Dauben – Google Books
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. My library Help Advanced Book Search. 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.
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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. Alec Julien rated it it was amazing Mar 05, Intertwining Metaphysics and Mathematics: Oct 19, Jonathan rated it liked it. Jessie rated it it was amazing Jun 16, The Philosophy of Set Theory: Cantor on Frege’s Foundations of Arithmetic: Paolo Mancosu – – Review of Symbolic Logic 2 4: Mike Lodato rated it it was amazing Aug 10, Jon rated it it was amazing Nov 20, 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 his followers and co-belligerents.
Georg Cantor: His Mathematics and Philosophy of the Infinite
Other editions – View all Georg Cantor: Christopher Menzel – – The Monist 67 1: Welovephilosophy rated it it was amazing Mar 03, There are no discussion topics on this book yet.
Mathematics, the Kabbalah, and the Search for Infinity.
Cantor’s own faith in his theory was partly theological. Alberto Trombetta rated it it was amazing Feb 14, Cantor and the Burali-Forti Paradox. Brad Jaeger rated it it was amazing Cantr 14, Concept Grounding and Knowledge of Set Theory. The Mystery of the Aleph: That is one dense book.
Dauben doesn’t think that Kroenecker was a sufficient or even a necessary condition for these breakdowns.