 Leibniz (LV.47 – this notation means Leibniz’s Fifth letter, section 47, and so on) says that (i) a body comes to have the ‘same place’ as another once did, when it comes to stand in the same relations to bodies we ‘suppose’ to be unchanged (more on this later); (ii) that we can define ‘a place’ to be that which any such two bodies have in common (here he claims an analogy with the Euclidean/Eudoxan definition of a rational number in terms of an identity relation between ratios); and finally that (iii) space is all such places taken together. However, he also holds that properties are particular, incapable of being instantiated by more than one individual, even at different times; hence it is impossible for the two bodies to be in literally the same relations to the unchanged bodies. Thus the thing that we take to be the same for the two bodies – the place – is something added by our minds to the situation, and only ideal. As a result, space, which is constructed from these ideal places, is itself ideal: ‘a certain order, wherein the mind conceives the application of relations’.