ABSTRACT

It may be possible to go further than this, for of the terms in our primary system not merely some but even all may be best symbolized by numbers. For instance, colours have a structure, in which any given colour may be assigned a place by three numbers, and so on. Even smells may be so treated: the presence of the smell being denoted by 1, the absence by 0 (or all total smell qualities may be given numbers). Of course, we cannot make a proposition out of numbers without some link. Moment 3 has colour 1 and smell 2 must be written x(3) — 1 and (f)(3) = 2, x ai*d <f> corresponding to the general forms of colour and smell, and possibly being functions with a limited number of values, so that e.g. <£(3) = 55 might be nonsense, since there was no 55th smell.