 William of Ockham (c. 1280–1349) brought a considerable degree of dialectical  subtlety[13]  to his analysis of continuity; it has been the subject of much scholarly  dispute.[14]  For Ockham the principal difficulty presented by the continuous is the infinite divisibility of space, and in general, that of any continuum. The treatment of continuity in the first book of his Quodlibet of 1322–7 rests on the idea that between any two points on a line there is a third—perhaps the first explicit formulation of the property of density—and on the distinction between a continuum “whose parts form a unity” (QQ, 510) from a contiguum of juxtaposed things. Ockham recognizes that it follows from the property of density that on arbitrarily small stretches of a line infinitely many points must lie, but resists the conclusion that lines, or indeed any continuum, consists of points.  Concerned, rather, to determine “the sense in which the line may be said to consist or to be made up of anything” (QQ, 507), Ockham claims that “no part of the line is indivisible, nor is any part of a continuum indivisible” (QQ, 507). While Ockham does not assert that a line is actually “composed” of points, he had the insight, startling in its prescience, that a punctate and yet continuous line becomes a possibility when conceived as a dense array of points, rather than as an assemblage of points in contiguous succession.