Nonstandard models of set theory have history of half a century
long. Unfortunately, there are still much prejudice and
misunderstanding about new ideas even within the broad-minded
mathematical community. This talk bases on [1, 2] and concerns
interaction between functional analysis and Boolean valued models as
well as the status of Robinsonian infinitesimal analysis.
Bair J., Błaszczyk P., Ely R., Henry V., Kanovei V.,
Katz K., Katz M., Kutateladze S., McGaffey T., Schaps D., Sherry D., and Shnider S.,
“Is Mathematical History Written by the Victors?”
Notices of the AMS, 60:7, 886–904 (2013).