on His 80th Birthday

Socially we proceed by example. Wim has exhibited
such an example to me, granting a hope of future during the first
years of our interest in application of the modern technique of
model theory to positivity.
It is worth recalling that in the early 1960s, Wim, then an established analyst of high reputation in Banach lattices,
stood second to Abraham Robinson
in promoting the ideas of the brand-new nonstandard analysis.
The second publication on nonstandard analysis was Wim's famous article
“What Is Nonstandard Analysis?” In 2006 I was asked to give a lecture on the basics of Boolean valued analysis
to geometers and of course the title of
this lecture was a la Wim “What Is Boolean Valued Analysis?”
It was Wim who edited the famous green book
“Applications of Model Theory to Algebra, Analysis and Probability”
in 1969.
A few weeks ago I exchanged letters with Dana Scott who will visit the Maltcev Centennial at
Novosibirsk later this summer. He reminded me that in this book he
published the article “Boolean
Models and Nonstandard Analysis” where he forecasted the future of what we know now as Boolean valued analysis.
It so happened that Wim reviewed the majority of books on
positivity and nonstandard methods stemming from Novosibirsk and
Vladikavkaz, my textbook on functional analysis inclusively.
Of course we were and still are very proud of his evaluations
and comments. However, I first met Wim in Dresden at Positivity IV
and since then a photo of him with Tolya Kusraev and me is always
right above my left hand in my study at Novosibirsk.
Wim is a man of an exceptional understanding and marvelous sense of humor.
So I finish with a short slightly jocular
toast I prepared to welcome Wim here at Positivity VI
and sent to him yesterday.
Inspiration is always genuine. You cannot counterfeit inspiration.
We all share the feeling of inspiration that stems from Wim.

A speech at Positivity VI in El Escorial (Spain) on July 23, 2009

File translated from T

On 26 Jul 2009, 21:03.

English Page |
Russian Page |

© Kutateladze S. S. 2009