ABSTRACT
This chapter broaches the logical discussions connected with the genesis of order. It is of great importance as unifying the two sources of order, between and separation; since it shows that transitive asymmetrical relations are always present where either occurs, and that either implies the other. For, by the relation of preceding, we can say that one term is between two others, although we started solely from separation of pairs. There is no valid a priori reason in favour of analyzing between into a relation of two relations, if a triangular relation seems otherwise preferable. The other reason in favour of the analysis of between is more considerable. So long as between is a triangular relation of the terms, it must be taken either as indefinable, or as involving a reference to some transitive asymmetrical relation. Thus on the whole, the opinion that between is not a triangular relation must be abandoned.
