This book presents a new type of arithmetic that allows one to execute arithmetical operations with infinite numbers in the same manner as we
are used to do with finite ones. The problem of infinity is considered
in a coherent way different from (but not contradicting to) the famous
theory founded by Georg Cantor. Surprisingly, the introduced arithmetical operations result in being very simple and are obtained as immediate extensions of the usual addition, multiplication, and division of fini…
Read moreThis book presents a new type of arithmetic that allows one to execute arithmetical operations with infinite numbers in the same manner as we
are used to do with finite ones. The problem of infinity is considered
in a coherent way different from (but not contradicting to) the famous
theory founded by Georg Cantor. Surprisingly, the introduced arithmetical operations result in being very simple and are obtained as immediate extensions of the usual addition, multiplication, and division of finite numbers to infinite ones. This simplicity is a consequence of a newly developed positional numeral system used to express infinite numbers. In order to broaden the audience, the book was written as a popular one. This is the second revised edition of the book (the first paperback edition has been published in 2003, available at European Amazon sites).
