In all of the foregoing proposals it is assumed that the fourth dimension really exists and that it lies just beneath the surface of the visible, palpable limits of the material universe; that lying in close juxtaposition to all that we are able to see, to hear or sense in any way is this mysterious, eternally prolific, all-powerful something, hyperspace, ever-ready to nourish and sustain the forms which have the nether parts firmly encysted in one or the other of her _n_-dimensional berths. Thus it would seem that while yet functioning in a strictly tridimensional atmosphere, some one, more reckless than the rest, should at last stumble upon some up-lying portion of it and be instantly transformed into a mathetic fay of etherealized four-dimensional stuff. _PART TWO_ SPATIALITY AN INQUIRY INTO THE ESSENTIAL NATURE OF SPACE AS DISTINGUISHED FROM THE MATHEMATICAL INTERPRETATION CHAPTER VI CONSCIOUSNESS THE NORM OF SPACE DETERMINATIONS Realism Is Determined by Awareness--Succession of Degrees of Realism--Sufficiency of Tridimensionality--The Insufficiency of Self-Consistency as a Norm of Truth--General Forward Movement in the Evolution of Consciousness Implied in the Hyperspace Concept--The Hypothetical Nature of Our Knowledge--Hyperspace the Symbol of a More Extensive Realm of Awareness--Variations in the Method of Interpreting Intellectual Notions--The Tuitional and the Intuitional Faculties--The Illusionary Character of the Phenomenal--Consciousness and the Degrees of Realism. Things have value for us only to the extent to which we can become aware of their being. The appraisement of all objects, conditions, states or qualities is determined directly by the degree or quality of awareness with which we apprehend them. Those elements which are without the intellect's scope of awareness have no interest and hence no value so far as the individual intellect is concerned. And this is true of all degrees and states of consciousness from the lowest to the highest, from the human to the divine.