And now it remains to show their actual universality, by exhibiting their place in the structure of the absolutely real; since nobody calls in question their pertinence to the world of phenomena. But their noumenal applicability follows from their essential implication with all and every difference: no difference, no distinction, that does not carry counting; and this is quite as true as that there can be no counting without difference. The One and the Many thus root in Identity and Difference, pass up into fuller expression in Universal and Particular, hold forward into Cause and Effect, attain their commanding presentation in the Reciprocity of First Causes, and so keep record of the contrast between Necessity and Contingency. In short, they are founded in, and in their turn help (indispensably) to express, _all_ the categories,--Quality, Quantity, Relation, Modality. Nor do they suffer arrest there; they hold in the ideals, the True, the Beautiful, the Good, and in the primary Ideas, the Self, the World, and God. For all of these differ, however close their logical linkage may be; and in so far as they differ, each of them is a counted unit, and so they are many. And, most profoundly of all, One and Many take footing in absolute reality so soon as we realize that nothing short of intelligent being can be primordially real, underived, and truly causal, and that intelligence is, by its idea, at once an _I_-thinking and a universal recognizant outlook upon others that think _I_.