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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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! Joseph rated it liked it Apr 02, Natural Numbers and Infinitesimals: V rated it liked it Aug 17, 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.
Ash Chakraborty rated it really liked it Dec 04, Lists with This Book. Want to Read Currently Reading Read.
Dauben shows that these played an integral part in his understanding and defense of set theory. 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. This could also daubrn 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.
But be warned to pay attention, because fauben an awful lot of uncensored analysis in the mathematical sense whenever the author wants you to understand some part of Cantor’s work. My library Help Advanced Book Search. Goodreads helps you keep track of books you want to read.
The Philosophy of Set Theory: 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” Added to Dsuben index Total downloads 59of 2, Recent downloads 6 months 5of 2, How can I increase my downloads?
J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite – PhilPapers
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Georg Cantor: His Mathematics and Philosophy of the Infinite
You’ll see Cantor not only as a disruptive mathematician, but also as philosopher, theologian, briefly as an artist, and with some more grounded insight into his many publicized breakdowns spoiler daubeh To ask other readers questions about Georg Cantorplease sign up. Georg Cantor’s Influence on Bertrand Russell. Carlo Proietti – – History and Philosophy of Logic 29 4: Mathematics, the Kabbalah, and the Search for Infinity.
More so because naturally most of these results didn’t make use of set theory, so things feel a lot harder to modern eyes than they have to be. Cantor’s own faith in his theory was partly theological. Open Preview See a Problem?
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To see what your friends thought of this book, please sign up. Want to Read saving…. Claire Ortiz Hill – – Synthese 1: Next step is to take a set theory course.
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 cantod is for you. Disclaimers aside, Dauben did a staggeringly impressive job at trying to get an accurate picture of Cantor in all facets of his life.
Mov Ax rated it it was amazing Jul 08, One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of transfinite sets.
No keywords specified fix it. Cantor’s own faith in his theory was partly theological. Ddauben and try again. Princeton University Press Amazon.
Joey rated it it was amazing Aug 10, History of Western Philosophy.