 As described  earlier,  Ockham holds that we do not need to allow special entities in all ten of Aristotle’s categories. In particular, we do not need them in the category of quantity. For Ockham, there is no need for real “mathematical” entities such as numbers, points, lines, and surfaces as distinct from individual substances and qualities. Apparent talk about such things can invariably be parsed away, via the theory of connotation or exposition, in favor of talk about substances and qualities (and, in certain theological contexts, a few relations). This Ockhamist move is illustrative of and influential on an important development in late medieval physics: the application of mathematics to non-mathematical things, culminating in Galileo’s famous statement that the “book of nature” is written in the “language of mathematics.”