Let <math>X\!</math> collect the objects of thought that fall within a particular OM, and let <math>X\!</math> include the whole world of a sign relation plus everything needed to support and contain it. That is, <math>X\!</math> collects all the types of things that go into a sign relation, <math>O \cup S \cup I = W \subseteq X,</math> plus whatever else in the way of distinct object qualities and object exemplars is discovered or established to be generated out of this basis by the relations of the OM. | Let <math>X\!</math> collect the objects of thought that fall within a particular OM, and let <math>X\!</math> include the whole world of a sign relation plus everything needed to support and contain it. That is, <math>X\!</math> collects all the types of things that go into a sign relation, <math>O \cup S \cup I = W \subseteq X,</math> plus whatever else in the way of distinct object qualities and object exemplars is discovered or established to be generated out of this basis by the relations of the OM. |