Nonstandard analysis and a classification of probability spaces

Sergio Fajardo

pp. 61-71

in: Maria L. Dalla Chiara, Roberto Giuntini, Federico Laudisa (eds), Language, quantum, music, Berlin, Springer, 1999

Abstract

Since 1960 and with the admittedly unappealing name of Nonstandard Analysis, infinitesimal and infinite quantities have made a comeback into the mathematical playground. The return, after Bishop Berkely's fierce attack in the early years of the past century, hasn't been easy. The following paragraph of the well known Probabilist, Joseph L. Doob ([D]) is very explicit and touches upon several issues related to this paper.