-- foundations of, 221 -- four-dimensional, 41 -- Paul Carus on, 354 -- fourth dimension of, efforts at making it thinkable, 125 -- generability of, by lines, 143 -- genesis of, 227, _ff_ -- geometric, purely formal construction, 75-6 -- limits of and the Creative Logos, 193 -- manifoldness of, 77 -- mind and, the coevalism of, 240 -- mystery of, 278, _ff_ -- nature of, answered to by mind, 198-9 -- nether pole of non-manifestation, 207-8 -- non-Euclidean, the characteristics of, 72-3 -- not a pure form, 110 -- passage of, 16 -- path of search for, must be Thinker-ward, 278 -- perceptual, irreconcilable with the fourth dimension, 156 -- possible curvature of, and the non-Euclidean geometry, 76-7 -- primeval, and tridimensionality, 236 -- problem of devising a, 87-8 -- psychological nature of, 305 -- real, confounded with hyperspace, 91 -- Riemann on the curvature of, 5 -- the unity of, 224 -- -- -- -- with matter, 260 Space-activities, as chemism and physicism, 229-30 Space-center, the, 306-7 Space-consciousness, 225 -- as a direct process, 224 -- mergence of, with the individual consciousness, 195 Space-curvature, as an arbitrary construction, 262 -- as near-truth, 306 -- nature of, 279 -- no need for, 237 -- translation of, in terms of the intellect, 315 Space-forms, the construction of, 74 Space-genesis, 20, 232, 233 -- alphabet of, 237 -- completion of, 226 -- norm of, 174 -- pyknon as a basis of, 17 -- symbolism of, 208, _ff_, 235 Space-manifold, the, 279 Space-measurement, and reality, Euclid's system of, 96 -- systems of, 201 Space-mind and archeological evidences, 193 -- -- knowledge, 187 -- -- the Thinker, 253, 272 -- attainment of, 225, 231 -- granaries of, 235 -- the realization of, 238 Space-process, the, 305 Space-realities, hyperspace as a stepping stone to, 238 Spark, the omnipsyche as a, 258 Spatiality and the intellect, 263-4 -- consubstantial with materiality, 20, 331, _ff_ -- cut-off from non-spatiality, 266 -- interpenetrative with materiality, 236 -- nonconformity of, with logic, 164 -- riddle of, and the intuition, 325 --, rise of, 180 -- Thinker's outlook in, 316 -- world of nascent, 232 Spencer, Herbert, 322 Spinoza, 322 Spiritism, the phenomena of, 154 Spiritualists, the claim of, regarding the fourth dimension, 154-5 Spirituality, materiality transmuted into, 328 -- principle of, 210, _ff_ -- seeds of, 221 Spiritualization of the flesh, 227 -- -- man's mental outlook, 40 -- -- matter, the end of evolution, 327 Squares, the form of, in the non-Euclidean geometry, 59 St. Marie, Flye, 66 Stage of pyknosis, 208, _ff_ --, quartopyknotic, 219, _ff_ Stanley, Hiram M., on space as dynamism, 104-7 States, the two, of consciousness; one unaware of the other, 192