Rational, valueless when unsanctioned by the intuition, 187 Reaction, as a mystery, 167-8 Real, Thinker as a part of the, 201 Realism and its degrees, 164-5, 279 -- -- the Thinker, 315 -- as life, 286 -- consciousness as touch-stone of, 168 -- found in the direction inverse to the phenomenal world, 278 -- homogeneity of, 165 -- illusionary nature of, 36 -- infinite gamut of, 36 -- its degrees and the states of consciousness, 197 -- new scope of, bewilders the mind, 170-1 -- not of mathematical import, 290 -- of concepts and the sensible world, 40 -- -- the domain of mathesis, 33-4 -- psychological quality of, 285 -- the thread of, 169 -- three dimensional scope of, 172 Realities, abstractionizing, 144, 294 -- incomprehensible to the intellect, 126 -- innermost, of things, 356 -- lesser give way to greater, 195 -- natural symbolism of, 128 -- our, non-existent to beings on spirit-levels, 35 -- shaped upon conventional models, 294 -- supersensuous, 180 Reality, as life and consciousness, 173 -- barrier to the cognition of, 189, _ff_, 273 -- comprehension of, 165, 303 -- current of, 322 -- defined as life, 18 -- flow of, 319 -- flowing stream of, 124 -- myriad ways of presenting itself, 287 -- naked contact with, 193 -- not an inscrutable quantity, 194 -- obscured, 302 -- of the four-space glibly asserted, 154 -- thread of, 200 -- universum of, 127 Realms, supersensuous, 338 Re-becoming, life and consciousness as a, 257 Reciprocity of consciousness and realism, 197-8 -- of the manifest and the unmanifest, 217 Recoil of images upon us, 167-8 Reflexive development of the intellect, 254 Relativity of all knowledge, 101 Religion and realism, 170 -- the changes in, 358 Remains of life exhibited to the intellect, 283 Remaking of moods by the intellect, 201 Replica of consciousness as basis of judgments, 205 Representation, sensuous, compared with a shadow, 119-120 Research, improvement in the methods of, 125 Reservoir, psychic, of evolution, 260 Residuum, the unexplained, 157-8 Revelational impressions, 29 Riddle of spatiality and the intuition, 325 Riemann, G. F. B., 18, 19, 54, 66-7, 87 -- and a limited space, 108-9 -- -- the curvature of space, 5 -- -- -- determinative period, 65 -- -- finite space, 103 -- -- -- four-space, 27 -- -- -- manifold, 317 -- -- -- as inventor of the manifold, 86 -- on the bases of geometry, 61-4 Roentgen rays, 336 Rotation about a line, 147-8 -- about a plane, 146-151 -- -- -- -- illustrated, 148-50 -- intra-corpuscular, 152 Rudimentary organs, vague functions lying back of, 343 Rule in the evolution of faculties, 333 S Saccheri, Girolamo, 47-8, 52, 83 Sajous, C. De M., on the pituitary body, 345 Schematism, the suitability of the present, 320-1 Schweikart, Ferdinand Karl, 19, 66, 69