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Section III. Selected A.A. Lyapunov’s Articles on Science,
Education, Art 
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143
Some Features of the Structure of Contemporary Theoretical 
Knowledge. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 145
The Relationship Between the Concepts of Matter, Energy,
and Information. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 163

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About the Role of Mathematics in Modern Human Culture . . 168
On the Role of Set-Theoretic Concepts in the Development of
the Foundations of Mathematics. Descriptive Set Theory
and the Theory of Algorithms. N.N. Luzin, P.S. Novikov. . 185
Reflections on the Place of Art in the Development of Human 
Culture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 194
On the Reform of Mathematical Programs . . . . . . . . . . . . . . 204
Ontodidactics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 211
Physical Geography. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 219
Section IV. Lyapunov’s Convexity Theorem 
. . . . . . . . . . . . . . . . 253
N.A. Liapunova
. Commentary . . . . . . . . . . . . . . . . . . . . . . . 255
A.N. Lyapunov
. A.A. Lyapunov’s Theorem on the Convexity
of Values of the Measures . . . . . . . . . . . . . . . . . . . . . . . 257
S.S. Kutateladze
. Lyapunov’s Theorem, Zonoids, and
Bang-Bang . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 262
Section V. Teacher and Student 
. . . . . . . . . . . . . . . . . . . . . . . . 265
B.A. Trakhtenbrot
. Alexey Andreevich and Vladimir . . . . . . . . 267
Section VI. Reminiscences of Pupils, Friends, and Colleagues about