  “If we can give a definition of points which will make them fulfil a certain pair of conditions, it will not matter though points in themselves should turn out to be entities of a very different kind from what we had supposed them to be. The two conditions are (i) that points must have to each other the kind of relations which geometry demands; and (ii) that points must have to finite areas and volumes such a relation that a reasonable sense can be given to the statement that such areas and volumes can be exhaustively analysed into sets of points.” [C. D. Broad, Scientific Thought (1959: 39)]