 Henry Harclay and Walter Chatton are two relatively well known medieval philosophers who supported indivisibilism. Thinkers such as Harclay and Chatton argued, in response to Aristotle, for the possibility that a continuum is composed of indivisibles. The individual components, or indivisibles, were generally held to be extensionless regardless of whether or not the individual thinker understood there to be an infinite (Harclay) or finite (Chatton) number of indivisibles in a given continuum. But, as is well know, such indivisibilists accounts were generally so defensive in their posture—arguing for the mere possibility of indivisibles—that it is difficult to ascertain the broader philosophical motivations which grounded such arguments. John Murdoch argues that there are perhaps two motives that can be gleamed for the texts: (1) indivisibles may have been useful as a method of accounting for the motion of angels; or (2) indivisibles may have been useful when addressing the inequality of infinites (Murdoch 1982, 576–577). Although, he notes that such motivations are mentioned only in passing and that a broader motivation could have simply been that “the analysis of Aristotle’s arguments against indivisibilism uncovered loopholes in them” (Murdoch 1982, 577).