 Grosseteste appears to have been the first in the Latin West to propose a doctrine of unequal infinities. In On Light he holds that there are infinite numbers that differ in size: “the sum of all numbers, both odd and even, is infinite and  is greater than the sum of all the even numbers, even though this too is infinite, for it exceeds it by the sum of all the odd numbers” (Lewis 2013, 241).  According to Grosseteste, infinite numbers can stand to one another not only in every numerical ratio, but also in every non-numerical ratio (Grosseteste has in mind the ratio of the infinite numbers of points contained in incommensurable lines). He clearly thinks lines and other continua contain different-sized infinities of points or indivisibles, viewed as dimensionless simples. But he also thinks points are parts of lines, and more generally, that indivisibles serve to make up continua. He is aware that Aristotle seems to reject this view and hold that magnitudes only have magnitudes as their parts, but he claims in  On Light that the term “part” has a range of meanings depending on which mathematical relationship of parts to wholes is in question. Aristotle, he asserts, means by “part” in connection with continua an aliquot part and is concerned only to deny that continua are composed of indivisibles as aliquot parts. But this denial does not entail that indivisibles are not parts standing in a different mathematical relationship to the wholes to which they belong. According to On Light, a point is a part of a line in the sense that it is in a line “an infinite number of times, and does not diminish the line when substracted from it a finite number of times” (Lewis 2013, 242).  Grosseteste says little about the ordering of indivisibles in continua but mentions without criticism Aristotle’s view that indivisibles in continua must be densely or “mediately” ordered, so that between any two is yet another, a view attributed to him by Albert the Great and Thomas Bradwardine (see Lewis 2005).