Real Numbers, Generalizations of the Reals, and Theories of Continua by Philip EhrlichEnglish | PDF | 1994 | 313 Pages | ISBN : 079232689X | 26.7 MB
Since their appearance in the late 19th century, the Cantor–Dedekind theory of real numbers and philosophy of the continuum have emerged as pillars of standard mathematical philosophy. On the other hand, this period also witnessed the emergence of a variety of alternative theories of real numbers and corresponding theories of continua, as well as non-Archimedean geometry, non-standard analysis, and a number of important generalizations of the system of real numbers, some of which have been described as arithmetic continua of one type or another.