Volume 49, Issue 3, 2016
Andrei Makarov, Alexander Shestakov
On the Incomprehensible Effectiveness of Mathematics. Searching for the Mathematical Object
Review represents a new edition of the Moscow seminar on philosophy of mathematics works. The book deals with two interrelated problems: the problem of “the incomprehensible effectiveness" of mathematics and the problem of the ontological status of mathematical objects. The conditions of applicability of mathematical theories in the natural, social and human sciences. Ideas and themes proposed by the authors of articles have goal to reveal perspective analysis of the subject, which allows detect its previously implicit sides. This approach makes possible to put different questions related to the foundations of mathematics and provide an additional impetus to research in this area.