The Smooth and the Striated

“Magnitudes can striate space only by reference to numbers, and conversely, numbers are used to express increasingly complex relations between magnitudes, thus giving rise to ideal spaces reinforcing the striation and making it coextensive with all of matter. There is therefore a correlation within metric multiplicities between geometry and arithmetic.” (Page 484)

Numbers can be used to striate smooth space. The multiplicities of smooth space are difficult to measure or calculate without using numbers or units. However, dividing a thing into a smooth space limits the understanding of the characteristics of the smooth space.