2nd ed., stereotype. - Per. from French — Ed. L.S. Pontryagin. - M.: Nauka, 1990. - 736 p. — ISBN 5-02-014328-6.

Includes four works by the outstanding French mathematician Henri Poincaré (1854-1912): “Science and Hypothesis”, “The Value of Science”, “Science and Method” and “Recent thoughts", which are devoted to the consideration of ways of knowledge in mathematics, mechanics and physics.

Use the arrow to expand or collapse this section Science and hypothesis Number and magnitude [b] On the nature of mathematical inference. Mathematical quantity and experience. Space Non-Euclidean geometric systems. Space and geometry. Experience and geometry. Force Classical mechanics. Relative and absolute motion. Energy and thermodynamics Nature Hypotheses in physics. Theories of modern physics. Calculus of probabilities. Optics and electricity. Electrodynamics. The end of matter. The value of science Mathematical sciences Intuition and logic in mathematics. Measurement time. The concept of space. Space and its three dimensions. Physical sciences Analysis and physics. Astronomy. History of mathematical physics. The modern crisis of mathematical physics. The future of mathematical physics. The objective value of science. Is science artificial? Science and reality. Science and method Scientist and science Choice of facts. The future of mathematics .Mathematical creativity.Randomness.Mathematical reasoningRelativity of space.Mathematical definitions and teaching.Mathematics and logic.New logicians.Latest efforts of logisticians.Last thoughtsEvolution of laws.Space and time.Why space has three dimensions.Logic of infinity.Mathematics and logic.The relationship of matter and ether. New concepts of matter. New mechanics. Morality and science. Moral union. M.I. Panov, A.A. Tyapkin, A.S. Shibanov. Henri Poincaré and science of the early twentieth centuryLiterature.Name indexSubject index