Vladimir,
Philosophically, I am neo-neo-Kantian ( ближе пожалуй to philosopher - mathematician Dimitri Gawronsky ( 1883-1955 ) Marburg school of neo - Kantian philosophy. Some most sensitive details :
WITH KANT BEYOND KANT
1.Marburg school of neo - Kantian idealists ( Cohen, Natorp,Cassirer, Gawronsky )is continental group of philosopher - mathematicians.
2.Gawronsky's Urteil Principle : the philosopher must not rely on idle metaphysical speculations but has to know how synthetic a priori is actually applied in scientific practice (1912)
3.Reality is the systematic knowledge of Nature as it arises from the wild mindless mathematical synthetic a priori laws.
4." The real is clarified by the ( a priori ) ideal ".
5.What cannot be thought did not make sense. What cannot be justified by mathematical thought, must be posted by mathematics.
5.When physicists assume the first quasi - particle of the becoming Universe they must also assume an existence of mathematical rules and transcendental constants deduced from some always - existing MetaLife/Kant's Органон or Holograms generators ( in today's terms ). Hence, quite naturally to find what I called " logical invariant of neo - Kantian idealism ".
6.Hence, in Marburg - Urteil style my publications are connected with idealism inspired mathematical and physical exact results published in professional journals:
On Plato's periodic perfect numbers - Bulletin des Sciences Mathematiques, v 123 issue 1 Jan 1999;
Р' защиту квантового идеализма - РЈСЃРїРµС...Рё ФизическиС... Наук С‚.46 в„- 12 ( free Russian version PDF at www.ufn.ru )
P vs NP problem in the field anthropology. ArXiv : 0904.3074 (Cs.OH) 2009
Cubic groups - Cryptology ePrint Archive: report 2010/653; etc.