Experiencing Mathematics – What Do We Do, When We Do Mathematics Pdf Many mathematicians, when asked about the character and significance of math, vacillate between both unrealistic sticks of Platonism and formalism. By looking closely at what mathematicians do when they’re doing math, Reuben Hersh provides an escape from this trap. This publication of selected essays and articles gives an honest, coherent, and clearly clear consideration of mathematicians’ proof as it really is, and of the existence and reality of mathematical entities.

The pragmatism of John Dewey is a better fit for mathematical practice than the dominant”analytical philosophy”. Dialogue, satire, and dream enliven the philosophical and methodological analysis. Reuben Hersh has written widely on math, often in the perspective of a philosopher of mathematics fiction. His publication by Philip Davis, The Mathematical Experience, won the National Book Award in mathematics.