The book by the outstanding modern mathematician Vladimir Arnold is written about purely mathematical problems, but with passion and enthusiasm. Its main content is the article of 2002, in which the author discusses two understandings of mathematics. According to one of them, this science is “a consequence of arbitrary axioms,” according to another, “a branch of natural science and theoretical physics.”
The book by the outstanding modern mathematician Vladimir Arnold is written about purely mathematical problems, but with passion and enthusiasm. Its main content is the article of 2002, in which the author discusses two understandings of mathematics. According to one of them, this science is “a consequence of arbitrary axioms,” according to another, “a branch of natural science and theoretical physics.” Arnold analyzes meaningful examples showing the cardinal differences between these points of view. Of course, it is designed for current and future mathematicians, but it convincingly shows any reader how much deeper and wider than we used to think, the view of the exact sciences can be if their foundations are presented by a brilliantly erudite and versatile scientist.
MCNMO, 104 p.