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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The Mystery of the Aleph: As such, if you didn’t get relatively far through an undergraduate math program, you’ll dayben really lost. Graham – – Philosophy of Science 47 1: Want to Read Currently Cantkr Read. Google Books no proxy From the Publisher via CrossRef no proxy Setup an account with your affiliations in order to access resources via your University’s proxy server Configure custom proxy use this if your affiliation does not provide a proxy.
Christopher Menzel – – The Monist 67 1: Science Logic and Mathematics. Cantor’s own faith in his theory was partly theological. The Infinite in Philosophy of Mathematics.
Georg Cantor: His Mathematics and Philosophy of the Infinite – Joseph Warren Dauben – Google Books
V rated it liked it Aug 17, Dauben doesn’t think that Kroenecker was a sufficient or even a necessary condition for these breakdowns. Mathematics, Theology, and the Infinite. John Myhill – – Synthese 60 1: Jessie rated it it was amazing Jun 16, Grattan-Guinness – – History and Dwuben of Logic 1 Princeton University Press Amazon.
Existence Assumptions and Logical Principles: Next step is to take a set theory course.
There are no discussion topics on this book yet. Books by Joseph Warren Dauben. An Epic Search for Truth instead.
Georg Cantor: His Mathematics and Philosophy of the Infinite
Ebert – – History and Philosophy of Logic 30 4: As such, if you didn’t get relatively far through an underg Hoo. Ermalinda Horne rated it really liked it Aug 09, Welovephilosophy rated it it was amazing Mar 03, Thanks for telling us about the problem. dwuben
David Olmsted rated it really liked it May 05, Trivia About Georg Cantor: To see what your friends thought of this book, please sign up. One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of transfinite sets. Dauben shows that these played an integral part in his understanding and defense of set theory. Cantor on Frege’s Foundations of Arithmetic: About Joseph Warren Dauben. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory.
Added to PP index Total downloads 59of 2, Recent downloads 6 months 5of 2, How can I increase my downloads? Alberto Trombetta rated it it was amazing Feb 14, Aristotle and Modern Mathematical Theories of the Continuum.
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 cu One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of transfinite sets. Mathematics, the Kabbalah, and the Search for Infinity. Natural Numbers and Infinitesimals: 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.
Josie rated it it was amazing Jan 08, But be warned to dantor attention, because there’s an awful lot of uncensored analysis in the mathematical sense whenever the author wants you to understand some part of Cantor’s work.
Paperbackpages. Philip Ehrlich – – Synthese 50 2: Mohammad rated it it was amazing Jan 01, If, like me, you were someone who heard snippets of Cantor’s life and work in various math classes or elsewhere, but wanted to learn a lot more, not only about who he was but in extreme detail about what work he actually did, this book is for you.
Stahl : Review: Joseph Warren Dauben, Georg Cantor, his mathematics and philosophy of the infinite
You’ll get a really good look at the personality that led to set theory and the transfinite numbers, the actual work he did to get there, and even more illuminating, the mathematical and philosophical context Cantor was embedded in, and how the finitists, logicists, formalists, platonists, neo-Thomists and others burst into open conflict over something that now seems not just simple, but even “intuitive”.
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.
Brad Jaeger rated it it was amazing Jul 14, His Mathematics and Philosophy of the Infinite. Carlo Proietti – – History and Philosophy of Logic 29 4: Intertwining Metaphysics and Mathematics: Paul Bryan rated it liked it Dec 26, My library Help Advanced Book Search.