Reuben Hersh Books

Most philosophers of mathematics treat it as isolated, timeless, ahistorical, inhuman. Reuben Hersh argues the contrary, that mathematics must be understood as a human activity, a social phenomenon, part of human culture, historically evolved, and intelligible only in a social context. Hersh pulls the screen back to reveal mathematics as seen by professionals, debunking many mathematical myths, and demonstrating how the "humanist" idea of the nature of mathematics more closely resembles how mathematicians actually work. At the heart of his book is a fascinating historical account of the mainstream of philosophy--ranging from Pythagoras, Descartes, and Spinoza, to Bertrand Russell, David Hilbert, and Rudolph Carnap--followed by the mavericks who saw mathematics as a human artifact, including Aristotle, Locke, Hume, Mill, and Lakatos.What is Mathematics, Really? reflects an insider's view of mathematical life, and will be hotly debated by anyone with an interest in mathematics or the philosophy of science.

These provocative essays take a modern look at the seventeenth-century thinker's dream, examining the influences of mathematics on society, particularly in light of technological advances. They survey the conditions that elicit the application of mathematic principles; the applications' effectiveness; and how applied mathematics transform perceptions of reality. 1987 edition.

How does mathematics work? What gives it its power? In this remarkable and innovative book two eminent mathematicians, Philip J. Davis and Reuben Hersch offer an intriguing view of their signs and demonstrate that 'mathematical truth, like other kinds of truth is fallible and corrigible'. With lucidity, erudition and wit, the authors have created a work of history, reflection, exposition and philosophy which presents both the complexities and the beauty of a subject which is one of the most pervasive and esoteric of human endeavours.