To describe set theory as foundational to our modern way of life is an understatement.
The foundation of set theory which has become a fundamental theory in mathematics. Cantor (1845-1918) established the importance of one-to-one correspondence between the members of two sets, defined infinite and well-ordered sets, and proved that the real numbers are more numerous than the natural numbers. In fact, Cantor’s method of proof of this theorem implies the existence of an “”infinity of infinities””. He defined the cardinal and ordinal numbers and their arithmetic.
Description
First editions in French. 4to., pp305-429, original wrappers, bound into modern half calf, marbled boards, an excellent example.