Theism, Platonism, and the Metaphysics of Mathematics

Abstract

IN A PREVIOUS PAPER, THOMAS V MORRIS AND I SKETCHED A VIEW ON WHICH ABSTRACT OBJECTS, IN PARTICULAR, PROPERTIES, RELATIONS, AND PROPOSITIONS (PRPS) ARE CREATED BY GOD NO LESS THAN CONTINGENT, CONCRETE OBJECTS. IN THIS PAPER I SUGGEST A WAY OF EXTENDING THIS ACCOUNT TO COVER MATHEMATICAL OBJECTS AS WELL. DRAWING ON SOME RECENT WORK IN LOGIC AND METAPHYSICS, I ALSO DEVELOP A MORE DETAILED ACCOUNT OF THE STRUCTURE OF PRPS IN ANSWER TO THE PARADOXES THAT ARISE ON A NAIVE UNDERSTANDING OF THE STRUCTURE OF THE ABSTRACT UNIVERSE.