-- the difference between, and the intellectuality, 256 -- -- evolutionary needs of, 336 -- -- upreaching yearnings of, 336 Thinker-ward, space must be sought in a direction, 278 Thinking, abstract, elevating influence of, 33 Thought, prolonged abstract, benefits of, 249 Time, as an aspect of consciousness, 224 -- divested of timeliness, 279 Todhunter, 46 Tool, fashioning, life as a, 264 Topography of the intellect, 312 Touchstone, consciousness as a, 168 Tracery of connection between ideas and objects, 126 Trafficking in mental constructions, 154 Transcendental, the realm of, and mathematicians, 142 Transfinite as a limit, 122, 216 Transfinity, 21-2 Tree-reality, 126 Triadic phase of evolution, 210-1 Triangles, angular sum of, 78, 88 Tridim, the, 22, 129, 134, 147, 177 Tridimension, the, 147 Tridimensionality and primeval space, 236 -- and the space-mind, 193 -- a quality of perceptual space, 22 -- mastery of the phenomena of, 172 -- the sufficiency of, 198 Tripyknon, the, 212, 213 Tripyknosis, 17, 208-10, 219 Truth compared with facts, 288 -- criterion of, 5, 323-4 -- facets of, 284 -- kinds of, 324 -- logic does not illuminate, 287-8 Tuitive, the, and the intuitive faculties, 192-3 U Ultima Thule, the, 207 Unbounded, the, as a finite extension, 70 Undulations, three, in the current of life, 329 Unfoldment, mental, and metageometrical discoveries, 131 Uni-circle, the, 308 Unification of all knowledge, 256 Uniqueness of real space, 95 Unitariness of all existences, 241 Unity, as end of analysis, 42 -- death as a fourth dimensional, 159 -- kosmic, integers as fractional parts of, 41 -- of mind and space, 224, 230 -- the new realization of, 225 Universality, geometric, based upon the formal character of assumptions, 77-8 Universe, a glorified, 226, 268 -- as a full, 308 -- -- -- plenum, 107 -- and the seven planes of matter, 212 -- character of, fixed by consciousness, 162 -- limited and conditioned, 127 -- not a pure form, 108 -- the perfected, and the circle, 310 -- -- theory of the mechanical origin of, due to analytics, 40 -- unity in the, 301-2 Universum of appearance, 187 -- of life and consciousness, 257 Universum of reality, 127 -- -- space, 269 Unknowable as a symbol, 194 -- the darkness which shuts out the, 207 Unodim, the, 129, 134, 176-7 -- -- consciousness, 163 -- defined, 22 Up-raisement of matter, 329 Upspringing of a new faculty, 333 V Vacuum-stillness of nature, 339 Validity of mathematical conclusions, 101 Value assigned by the intellect to the sensible world, 167 -- assumptional, vitiating influence of, 163 -- -- of the ideal, 275 Vanity of fragmentary evidences, 204 -- of intellectual method, 325, _ff_ -- -- segmenting space into many dimensions, 299