POPULAR INTRODUCTION
                                                                TO
                        THE  MATHEMATICAL ESSENCE OF THINGS


1. First steps to approach the Essence of Things. What the things really are ?
    Reality and the abstract world of ideas.

2. Why the essense of things can be expressed mathematically .

3. Different kinds of things. Duality Relations between important classes of things :
    Deterministic and Random, Particles and Waves, Real and Imaginary.

4. The laws of Logic. Their incompleteness and insufficience. Probabilistic laws and their universality.
    Completeness of the Probabilistic laws. Probability Theory as the "Complement" of Logic.

5. The Mind and the Physical World. The infinity of the Mind vs. the finiteness of any Physical System.

6. Insufficience of even Probabilistic Laws for understanding the (infinite) Mind.  Boundedness of the
    Infinite Mind by the limits of physical being. The contradiction of Boundedness and Infinity.

7. The necessity of Contradiction and Contradictional Thinking. Dialectics as the first theory based on Contradiction.
    Reconciliation of Dialectics with Logic and Probabilistic Laws. Relativity of Truth and Falsity.
    The need for the development of Mathematical Dialectics.

8. Chaos as the origin of everything. The new - chaotic - way of thinking.
    Mathematics and the Chaotic way of life.