the difficulties and paradoxes which have been found to attend the logic of number disappear when instead of their being treated as either essences or as proper- ties of things in existence, they are viewed as designations of potential operations. Mathematical space is not akind of space distinct from so-called physical and empirical space, but is a name given to operations ideally or formally possible with respect to things having spacious qualities: it is not amode of Being, but away of thinking things so that connections among them are liberated from fixity in experience and implication from one to another is made possible.