The Philosophy of Set Theory: An Historical Introduction to Cantor's Paradise (Dover Books on Mathematics)
By Mary Tiles.
Description
A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics.As Cantor's sometime collaborator, David Hilbert, remarked, "No one will dr...
ISBN(s)
0486435202, 9780486435206
