 As Ehrlich (2014) emphasizes, we could even stipulate that an ‘uncountable sum’ of zeroes is zero, because the length of a line is not equal to the sum of the lengths of the points it contains (addressing Sherry’s, 1988, concern that refusing to extend the definition would be ad hoc). Hence, if one stipulates that the length of a line is the sum of any complete collection of proper parts, then it follows that points are not properly speaking parts of a line (unlike halves, quarters, and so on of a line). In a strict sense in modern measure theory (which generalizes Grünbaum’s framework), the points in a line are incommensurable with it, and the very set-up given by Aristotle in which the length of the whole is analyzed in terms of its points is illegitimate. 