We shall proceed to explain what we regard as a true and adequate notion of a relation by stating some scenes that display the same. We do not regard it as needful to state many of them and we take for our first one, the common transaction of making a donation. We have here for relational elements or terms as they are usually called a set of three. Separately, or as not yet brought into relation in virtue of the giving, there may be, say _G_ an owner of _W_ a watch and _R_ the intended beneficiary. The plural fact of the giving is the _relationship_ or the _foundation_ of the _relations_ that arise in virtue of said giving. This _foundation_ becomes to be in virtue of the creation of such relations by the giving. Either one of the set of three may be taken as the datum of reference and according to the election in this respect, the relations may differ and the technical names we are about to give will vary in their application. Since simplicity will be gained thereby and also our present turn fully subserved we will take _G_ as the datum term of reference. So taking it _G_ is called the _relate_ and both _W_ and _R_ are called the _correlates_. For this present turn and in very virtue of the giving and only in virtue thereof _G_ becomes related to _W_ and _R_ in a certain relation one of the names of which is giver. When _W_ or _R_ are taken as relates certain other relations appear, some of the names of which are respectively _present_ and _recipient_. In relation to the relation of giver the relations of present and recipient are named _converse_ relations, as are likewise the relations of present and giver to the relation of recipient and the relations of giver and recipient to the relation of present. Here are three distinct relations growing out of the same relationship or foundation. As each relational element has its corresponding negation, the true logical system of a set of three terms involves not less than eight relations. We take for our second scene the case of a boundary. This might be a surface or a point but we will take the special case of a line on a surface. Here we have again a set of three, the spread on one side, _A_, the opposite spread, _B_, and the line _L_. _A_ has a certain relation, say above, to _L_ and _B_, _B_ has the certain relation, below, to _A_ and _L_, which relation is converse to the relation above: and _L_ has the certain relation, boundary, to _A_ and _B_ which relation is converse to the relations above and below.