Mathematics and logic. In defense of logicism. Mathematics and logic (continued)

The critical analysis of the ideas of “logicism”-a direction that sets to substantiate mathematics by information of its original concepts to the concepts of logic,-the outstanding French mathematician and philosopher A. Puancare (1854-1912) devoted the work “mathematics and logic” printed in the XIII and XIV volumes of the magazine Revue de Methaphysique et de Morale (Russian translation appeared in 1915).
Unlike the “logicians”, Poincare is not dissolved from philosophy and does not hide the connections of his ideas with the ideas of philosophers, in particular with the teachings of Kant about the a priori synthetic judgments of mathematics. But, like the “logicians”, Poincare in his reasoning on the issue of intuition in mathematics does not separate clearly that his argumentation is caused by his philosophical prejudices, from what is determined by specially mathematical justifications and what matters and value regardless His philosophical positions. Poincare provides the task of this distinction between his readers and critics. Speaking against “logicism”, Poincare had in mind not only the heuristic understanding of intuition, but also the logical and nose -oseological subject of the dispute. In his controversy with L. Kutyura, he means under “intuition” no longer “inspiration”, not “conjecture”, but straight, intellectual discretion that does not based logic.
The book is recommended not only to philosophers, logicians, historians and methodologists of science, but also to a wide circle of readers who are interested in logic and evidence in science