(from my current point of
view) consists in the following:
Scientists form group of some phenomena,
define laws for this group, build a theory on their basis. The theory turns out
to be one of many.
Continuums are different. Continuums arise
from relations. Space and time forms depend on forms of these relations. The
Theory of Relativity formulates some laws for continuums with isotropic and
homogeneous properties, for example. Laws of continuums with anisotropic and
non-uniform properties will be others. The axiomatic participates in generation
of laws. The axiomatic becomes sophisticated in sophisticated conditions. Laws
become sophisticated, following for the axiomatic.
Various groups of phenomena allow finding out
various laws. Laws in one group of phenomena differ from laws in other group of
phenomena.
We try to combine laws of various groups in
the general system, and we find out impossibility of their combination within the
limits of system; we find out contradictions between local laws even. We see a
particle and a wave, for example. We cannot make a tree from the branches.
We have contradictions between conditions of
tasks. A diversity of independent continuums is big. We can form of them not
only group of allies with the general laws, but groups of opponents with laws
that are opposite in some sense also.
The sum of conditions of local tasks with the
formation of a complex task (particle + wave, for example) deprives of us
possibility of revealing of local laws. Each of laws arises from the mainstay
system. The mainstay system arises in the course of an exception other
mainstays.
Efficiency of rationalization consists is in
this. We use rationalization for an exception of contradictions from the task
conditions. We use rationalization for a choice of the mainstay system, which
synthesize laws. Reality is not rational only.
Problem statement
We must go the way of rationalization until
the very end. We should find invariant for any phenomena. The problem is
obvious, but we cannot solve its in trivial form. We do not know which of the
laws are fundamental and which are synthesized from the mainstay system. We do
not know a way of combine of these laws. We do not see forms of influence of
one law on other laws. The part of laws contradicts other part of laws from the
point of view of intuition, but we can try to find non trivial way for the
decision of contradictions.
We should see necessity of transition to the irrational
mathematics here. We have no models of irrational relations. We do not know
possibilities of these models. They should unite something incommensurable. We
have the right to hope for it.
I see a reserve of development of a science.
It is hidden in not studied area – in the field of the strict irrational
mathematics. We can make a serious step to this direction.
