PROBLEM OF MATHEMATIC EFFICIENCY IN NATURAL SCIENCES
according to authors opinion the mathematical knowledge appears as unity of two kinds of mathematical activity. The first - working out of the abstract, conceptual schemes expressed by resources of formalized languages. The second - test, application of freely created abstract-logic constructions. As criterion of adequacy of mathematical knowledge products, not skilled contemplation, and the general fruitfulness of freely created abstract schemes the aprioristic intuition serves in scientific activity not.