Infinite as potential

1. The first is in the counting numbers, or as they are usually called, the natural numbers. However far one has counted, it is always possible to count one more (process of adding 1). There is no greatest natural number: the collection is infinite. 2. The other context in which infinity arises is in geometry, in the study of space. A line can be indefinitely subdivided: however far the process of subdivision has gone, further division is possible. The idea that a process (of adding 1 or of further subdividing) may be indefinitely continued introduces infinity only as potential. Potential infinity: infinity is an incompletable goal, which can never be reached. Infinite as actua