MATHEMATICAL THINKING AND THE NATURE OF MATHEMATICAL OBJECTS
AUREL PERAABSTRACT. Avigad writes that mathematical objects like numbers and sets are archetypical examples of abstracta. Putnam remarks that mathematical knowledge resembles empirical knowledge. Gaifman outlines a project in the philosophy of mathematics based on a proposed view of the nature of mathematical reasoning. Fraenkel notices that a definition of set is called impredicative if it contains a reference to a totality to which the set itself belongs.