Knowledge and the Philosophy of Number

Abstract

project to provide a new for the philosophy of number inspired by the idea that numbers are magnitudes . Hossack advocates understanding magnitudes as properties of , a which pluralities, continua, and series a natural is a property of a plurality, a real is a property of a continuum, and an ordinal is a property of a series. The out a modern theory of quantity and magnitude, based on the ancient theory of quantity in and in order to argue that we can have a priori knowledge of the natural numbers, the real numbers, and the ordinals. It is a refreshing and innovative attempt at that longstanding goal.