  This dialogue took place at V\"axj\"o, 19 November 2001. The main aim of our
meeting in V\"axj\"o was to clarify our viewpoints on foundations of quantum
mechanics. The most attractive in our discussion was the extreme difference in
our quantum experiences. On one side, pure mathematician (specializing in
foundations of probability theory), Andrei Khrennikov; on the other side, pure
experimenter (specializing in neutron and electron interferometry), Johann
Summhammer. On one hand, an attempt to test mathematical models for larger and
larger domains of physical reality. On the other hand, an attempt to create
this reality from experimental information - roughly speaking from clicks of
detectors.
