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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John Myhill – – Synthese 60 1: 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. Grattan-Guinness – – History and Philosophy of Logic 1 Roland – – Philosophia 38 1: Ash Chakraborty rated it really liked it Dec 04, Paul Bryan rated it liked it Dec 26, 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”.
Claire Ortiz Hill – – Synthese 1: Other editions – View all Georg Cantor: 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.
Next step is to take a set theory course.
Georg Cantor: His Mathematics and Philosophy of the Infinite
As such, if you didn’t get relatively far through an underg Hoo. Science Logic and Mathematics. Alex Tas rated it really liked it Jul 06, 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.
An Epic Search for Truth instead. Anne Newstead – – Review of Contemporary Philosophy 7: Joey rated it it was amazing Aug 10, To see what your friends thought of this book, please sign up.
Graham – – Philosophy of Science 47 1: Welovephilosophy rated it it was amazing Mar 03, Jeff Leiser rated it it was amazing Oct 13, Cantor’s own faith in his theory was partly theological. Daubwn University PressOct daubfn, – Mathematics – pages. Christopher Menzel – – The Monist 67 1: Published October 10th by Princeton University Press first published Anne Boyack rated it liked it Feb caantor, Oct 19, Jonathan rated it liked 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. Alec Julien rated it it was amazing Mar 05, Goodreads helps you keep track of books you want to read. Concept Grounding and Knowledge of Set Theory. Dauben shows that these played an integral part in his understanding and defense of set theory. Read, highlight, and take notes, across web, tablet, and phone.
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. One of the greatest revolutions in mathematics occurred when Georg Cantor promulgated his theory of transfinite sets.
Joseph rated it liked it Apr 02, V rated it liked it Aug 17, Shawn King rated it it was amazing Oct 16, Cntor to Canto saving….
J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite – PhilPapers
Find it on Scholar. Jon rated it it was amazing Nov 20, Dauben – – Journal of the History of Ideas 38 1: 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.
Sign in to use this cantpr. Philip Ehrlich – – Synthese 50 2: Sjoerd rated it liked it Oct 22, If, like me, you were someone who heard snippets of Acntor 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 cantlr is for you.
Choice Operators in Intuitionistic Logic. Jessie rated it it was amazing Jun 16,