Platonism is the most pervasive philosophy of mathematics. Indeed, it can be argued that an articulate, half-conscious Platonism is nearly universal among mathematicians. In this book, renowned mathematician Reuben Hersh takes this pervasive philosophy to task, subversively attacking the traditional philosophies of mathematics, most notably, Platonism and formalism. 21 illustrations.

Amazon.com Review In What Is Mathematics, Really?, author Reuben Hersh proposes a philosophy of mathematics that he calls "humanism" and uses this philosophy to analyze age-old questions of proof, certainty, and invention versus discovery. He also surveys the history of the philosophy of math. Readers of all levels of mathematical experience will be stimulated by the fascinating and perspicacious discussions Hersh has to offer.