On the nature of mathematics and its role in science and our society

Abstract

Logic and mathematics are the natural consequences of the development of intelligence. If we conceive mathematics as the symbolism of the actions of the subject on the object, then the truths in physics and mathematics have exactly the same origin: they emanate from our interactions with reality. This explains why however abstract mathematics becomes, there will always be some branches of it that applies to the physical world. The real utility of mathematics is in changing our mind, by revealing new aspects of reality and extending our consciousness.