Geoffrey Hellman presents a detailed interpretation of mathematics as the investigation of structural possibilities, as opposed to absolute, Platonic objects. After dealing with the natural numbers and analysis, he extends his approach to set theory, and shows how to dispense with a fixed universe of sets. Finally, he addresses problems of application to the physical world.
Readership: Philosophers, mathematicians, logicians, and physicists interested in the foundations of mathematics. Advanced undergraduate level and above.
Geoffrey Hellman, Professor of Philosophy, University of Minnesota
"Without doubt this volume is a major contribution to recent philosophy of mathematics and should be read by anyone interested in this difficult but philosophically central field." - Peter Clark, Times Higher Education Supplement
"rich, subtle, and insightful" - Stewart Shapiro, Nous