Cantorian Set Theory and Limitation of Size (Oxford Logic Guides)
| Author | : | |
| Rating | : | 4.98 (879 Votes) |
| Asin | : | 0198532830 |
| Format Type | : | paperback |
| Number of Pages | : | 343 Pages |
| Publish Date | : | 2013-10-13 |
| Language | : | English |
DESCRIPTION:
. Michael Hallett is at McGill University, Montreal
"Here is the first full-length study to do justice both to the mathematical importance of Cantor's work and to the philosophical ideas that governed it.The book is very well informed mathematically, yet much of Hallett's perceptive comment on and his patient and sympathetic interpretation of the philosophical ideas of Cantor and the other founders of set theory will be readily intelligible to nonspecialists, making the book of great interest to mathematician and philosopher alike."--Choice"Establishes a new plateau for historical comprehension of Cantor's monumental contribution to mathematics."--The American Mathematical Monthly
The philosophical and heuristic framework he developed had a lasting effect on modern mathematics, and is the recurrent theme of this volume. Hallett explores Cantor's ideas and, in particular, their ramifications for Zermelo-Frankel set theory.. Cantor's ideas formed the basis for set theory and also for the mathematical treatment of the concept of infinity
"By far the BEST book on the development of Cantor's ideas." according to William D. Fusfield. This is BY FAR the best and most INTERESTING book available on how Cantor developed his key ideas about transfinite sets, large cardinals, ordinals etc. It contains materials that will be highly relevant to even the most advanced set theorists, while yet managing to be generally accessible to those who, like myself, have only around a B.S. mathematics degree level of understanding of the field. This ability to be of use and interest to readers with such widely varied mathematical preparations is a true tribute to the author's gift for being able to explain even very advanc. Cantorian Set Theory and Limitation of Size Sam Adams Georg Cantor lived from 1845 to 1918. Judging from Hallet's bibliography, Cantor's publications on sets and infinity occurred in the years 1872 to 1897. A letter of 1899 to Richard Dedekind [1831-1916] is also relevant. This letter is the only writing by Cantor included in Jean van Heijenoort's From Frege to Gödel: A Source Book in Mathematical Logic, 1879-1931. No letter or publication by Cantor later than 1899 is discussed in Hallet's book, although a letter from 1903 to Philip Jourdain [1879-1919] is mentioned as outlining the proof given in the 1899 letter to Dede