With
its outstanding achievements in exact sciences, especially physics,
the 20th century will rightfully take a special place in the history
of human kind. However, at present physics increasingly lags behind
general progress, raising serious doubts about some of its basic
concepts. To some extent, this is also true of mathematics. Therefore,
it seems
to be necessary to revise the basic axioms of physics and mathematics
and to analyze them from the general standpoint of Dialectics (Dialectical Logic and Dialectical Philosophy).
In this journal the author have concentrated on general
problems of physical axioms, which are considered within Hegelian dialectics,
including logic, philosophy
and mathematics.
As is known, the main characteristic feature of dialectics
is a juncture of the material and ideal Worlds, which is the most important contradiction
of the Universe.
This contradiction joins all the other contradictions of the Universe. Of all
philosophic systems, dialectics alone expresses the objective contradictions
most completely by considering them as a basis for everything that exists in
the Universe. Translating the concept of contradictions and noncontradictions
into the language of mathematics, the author have constructed a mathematical
description based on the mathematics of the materialideal numerical field,
which allows sufficiently accurate expression of the laws of dialectics in mathematical
form and, proceeding from them, a description of axioms of physics, and mathematics.
All subsequent articles are
written in language of dialectics and a dialectic binary numerical wave field,
and assume knowledge
of articles published here: [Issue
1.Mathematical expression of the main categories of Dialectical Philosophy and
Logic] 
