Plato's Problem: An Introduction to Mathematical Platonism [Hardcover]

What is mathematics about? And how can we have access to the reality it is supposed to describe? The book tells the story of this problem, first raised by Plato, through the views of Aristotle, Proclus, Kant, Frege, G?del, Benacerraf, up to the most recent debate on mathematical platonism.Preface Terminological Conventions Introduction The Origins From Frege to G?del (through Hilbert) Benacerraf's Arguments Non-conservative Responses to Benacerraf's Dilemma Conservative Responses to Benacerraf's Dilemma The Indispensability Argument: Structure and Basic Notions The Indispensability Argument: The Debate Conclusion Notes References IndexMARCO PANZA is Research Professor at the CNRS. He is the author and editor of several books and papers in the domains of history and philosophy of mathematics. Including Analysis and sinthesis in Mathematics (ed., with M. Otte), 1997; Isaac Newton, 2003; Newton et l'origine de l'analyse, 1664-1666, 2005; Nombres. El?ments de math?matiques pour philosophes, 2007.
ANDREA SERENI is Lecturer at San Raffaele University, Milan, Italy. He has been a visiting scholar at Arch? Centre at the University of St. Andrews. He has taught courses at the Universities of Modena and Reggio Emilia, Parma, and Bologna. His teaching, research and publications cover philosophy of mathematics, epistemology, and philosophy of language.