ABSTRACT

The functional geometry is the geometry required for nomological uniformity. The nomological organization of physical space is at variance with its intrinsic geometrical structure, and, holding constant the laws, it would only be by interchanging the two regions that we could restore nomological uniformity and bring the causal processes involving St Mary’s and Big Ben in line with what obtains in the rest of physical space. Is it logically possible that physical space is nomologically deviant? St Mary’s is genuinely in Radcliffe Square and Big Ben is genuinely in Parliament Square, because that is where they are functionally: that is where they are because that is where they have to be too secure nomological uniformity – to bring the causal processes leading into and out of the regions containing these buildings into line, geometrically, with the processes that take place elsewhere.