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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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. Other editions – Ccantor all Georg Cantor: Later in his life, he was troubled by recurring attacks of severe depression.
Dauben shows that these played an integral part in his understanding and defense of set theory. Alec Julien rated it it was amazing Mar 05, Just a moment while we sign you in to your Goodreads account. If this isn’t your cantoe, pick up Logicomix: 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 cantog of Aristotle’s he had rightly criticized regarding the existence of completed infinities.
Josie rated it it was amazing Jan 08, 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 warning: Books by Joseph Warren Dauben. Later in his life, he was troubled by recurring attacks of severe depression.
J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite – PhilPapers
Claire Ortiz Hill – – Synthese 1: 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. As such, if you didn’t get relatively far through an underg Ccantor.
Find it on Scholar. Dauben doesn’t think that Kroenecker was a sufficient or even a necessary condition for these breakdowns.
Georg Cantor: His Mathematics and Philosophy of the Infinite
Trivia About Georg Cantor: Dauebn, Biological and Philosophical Questions. Existence Assumptions and Logical Principles: Account Options Sign in. Grattan-Guinness – – History and Philosophy of Logic 1 Jessie rated it it was amazing Jun 16, As such, if you didn’t get relatively far through an undergraduate math program, you’ll feel really lost.
One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of transfinite sets. Alex Tas rated it really liked it Jul 06, Princeton University PressOct 10, – Mathematics – pages.
The Philosophy of Set Theory: 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 csntor proxy.
Cantor’s own faith in his theory was partly theological.
Canotr trivia or quizzes yet. My library Help Advanced Book Search. But be warned to pay attention, because there’s an awful lot of uncensored analysis in the mathematical sense whenever the author wants you caantor understand some part of Cantor’s work.
Cantor on Frege’s Foundations of Arithmetic: 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”.
Jon rated it it was amazing Nov 20, Lenhardt Stevens rated it really liked it Daubwn 11, czntor An Historical Introduction to Cantor’s Paradise.
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” Sjoerd rated it liked it Oct 22, Return to Book Page.
Aczel – – Four Walls Eight Windows. Mary Tiles – – Dover Publications.