What is Mathematics, Really?

A book by Reuben Hersh. The author approaches the definition of mathematics in a different perspective. Well, he’s not just looking for the definition but rather what is mathematics really about? Is it an arbitrary concept developed by man? Or is it a branch of study that’s simply a socio-historical construction and is shared by all who understand it? Or is it a static nature of the universe that isn’t discovered but rather used by man for different purpose?

                Whatever it is, the author tackled what is mathematics in a philosophical way of view. The book is mind-bending and thought provoking that when you read every paragraph you take time to digest it before you could move on to the next. The author proposes three basic philosophies, namely: Platonism, Formalism and Constructivism. He takes time to define each and every one of them, relate them to their practical use and relate them to mathematics. Cautiously going through every aspect and avoiding biases to achieve his point, he uses surveys, asked questions on mathematicians and philosophers and even put them into context on how the reader could understand it better. He argued that wether math could be a physical or mental manifestation of the universe. He justified that math is the answer and nothing more; there is no other answer but the final answer which has been justified by historical figures through years of extensive research and problem solving. He said that math is trying to explain what the universe is creating or destroying.

                He assumed that math is  an indestructible force that is as solid as a rock, since socio-historical figures suggest that it has been both tested and failed and succeeded in previous learning’s. But he suggests that math could just be merely and illusion that was formed by man to simple solve problems and nothing more. But different philosophers said otherwise that its an abstract concept that lives beyond our earthly realm. Although these points have been made, Hersh made his argument direct and clear, the book is rather more on the tour of philosophical journey rather than mathematics itself.