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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Philip Ehrlich – – Synthese 50 2: Refresh and try again. Paperbackpages. Ermalinda Horne rated it really liked it Aug 09, Graham – – Philosophy of Science 47 1: Alex Tas rated it cantir liked it Jul 06, Want to Read Currently Reading Read.

As such, if you didn’t get relatively far through an underg Hoo. Find it on Scholar.

## Georg Cantor: His Mathematics and Philosophy of the Infinite

Next step is to take a set theory course. Later in his life, he was troubled by recurring attacks of severe depression. 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.

Dauben shows that these played an integral part in his understanding and defense of set theory. Disclaimers aside, Dauben did a staggeringly impressive job at trying to get an accurate picture of Cantor in all facets of his life. About Joseph Warren Dauben. Just a moment while we sign you in to your Goodreads account.

Mary Tiles – – Dover Publications. Cantor’s own faith in his theory was partly theological. Set Theory in Philosophy of Mathematics. Cantor and the Burali-Forti Paradox.

### J. W. Dauben, Georg Cantor: His Mathematics and Philosophy of the Infinite – PhilPapers

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.

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. Ash Chakraborty rated it really liked it Dec 04, To camtor other readers questions about Georg Cantorplease sign up.

Set theory has been daben adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. 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.

That is one dense book. Princeton University PressOct 10, – Mathematics – pages.

### Stahl : Review: Joseph Warren Dauben, Georg Cantor, his mathematics and philosophy of the infinite

Carlo Proietti vantor – History and Philosophy of Logic 29 4: 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.

Roland – – Philosophia 38 1: Goodreads helps you keep track of books you want to read. My library Help Advanced Book Search.

Physical, Biological and Philosophical Questions. Cantor’s own faith in his theory was partly theological. 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 cangor, and even more illuminating, the mathematical and philosophical context Cantor dauhen embedded in, and how the finitists, logicists, formalists, platonists, cantro and others burst into open conflict over something that now seems not just simple, but even “intuitive”.

Paul Bryan rated it liked it Dec 26, 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.

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