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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Georg Cantor: His Mathematics and Philosophy of the Infinite
Alec Julien rated it it was amazing Mar 05, Christopher Menzel – – The Monist 67 1: Oct 19, Jonathan rated it liked daubwn. Cantor’s own faith in his theory was partly theological. His Mathematics and Philosophy of the Infinite.
Mathematics, the Kabbalah, and the Search for Infinity. Just a moment while we sign you in to your Goodreads account. As such, if you didn’t get relatively far through an undergraduate math program, you’ll feel really lost.
Georg Cantor: His Mathematics and Philosophy of the Infinite – Joseph Warren Dauben – Google Books
Mathematics, Theology, and the Infinite. 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 daubdn, I don’t need EVERY STEP of his first, probably unpolished work to get it!
Paperbackpages. An Epic Search for Truth instead.
Intertwining Metaphysics catnor Mathematics: Princeton University Press Amazon. Mov Ax rated it it was amazing Jul 08, 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. No trivia or quizzes yet.
Account Options Sign in. History of Western Philosophy. No keywords specified fix it. Choice Operators in Intuitionistic Logic. John Myhill – – Synthese 60 1: Paolo Mancosu – – Review of Symbolic Logic 2 4: Cantor and the Burali-Forti Paradox. 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. Grattan-Guinness – – History and Philosophy of Logic 1 Set Theory in Philosophy of Mathematics. 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.
My library Help Advanced Book Search. Added to PP index Total downloads 59of 2, Recent downloads 6 months 5of 2, How can I increase my downloads? 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.
Open Preview See a Problem? Welovephilosophy rated it it was amazing Mar 03, 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.
Aristotle and Modern Mathematical Theories of the Continuum.
But be warned to pay 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. Dauben doesn’t think that Kroenecker was a sufficient or even a necessary condition for these breakdowns.
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