Orderliness, 266 Organ, determined by function to be performed, 336 Organs broken up by life into special parts, 343 -- the evolution of, 188 Orthodoxy of mathematics, 34 Outcome of new adjustments, 256 Out-feelings of the Thinker, infantile, 336 Outlook, the spiritualization of our mental, 40 P Papyrus, a hieratic, 44 Parallel-postulate and the surface of a sphere, 70 -- as basis of non-Euclidean geometry, 54 -- -- stated by Euclid, 55 -- -- -- -- Lobachevski, 55 -- -- -- -- Manning, 82 -- failures to demonstrate, 48, 82-3 -- in the Elements of Euclid, 16 -- Saccheri's proof of, 47 Parallels, convergence of, 80 -- infinity of, through a given point, 70 -- meet at infinity, 88 -- theory of, 47-9 Passage from mechanics to biogenetics, 357 -- from mechanics to dynamics, 326 -- from three-space to four-space, 292-3 -- of mathetic contrivances, 241 -- of space, 16, 297 Pathway of life, sinuosities in, 330 Patterns of the intellect, ready-made, 166 Pentagrammaton of space, 237 Perceptibility in the Thinker, the faculty of, 188 Perception, domain of, and the sensible world, 19 -- inner organs of, 352 -- replaced by conception, 255 Percepts, and the ego, 244 Period, chaomorphogenic, 208, _ff_ -- determinative, 61-5 -- kathekotic, 210 Perisophical nature of analytics, 320, _ff_ Perisophism, a, 300 Permissibility of mathetic license, unlimited, 38 Perpendicularity, 132, 177 -- of lines in the four-space, 130 Phantasy and reality, line of demarkation between, 173 -- the world of, 146 Phantom-ideal, the, 277 Phase of the world age, evolutionary, 209 Phenomena, efforts to explain, on the basis of the fourth dimension, 129 -- fashioned by the intellect, 199 -- fragmentary interpretation of, 302 -- mind's method of apprehending, 186 -- physical phenomena amply explained by scientific methods, 154 Phenomenal, the inverse of realism, 278 Philosophy and the criterion of truth, 323-4 -- regeneration of, 358 -- systems of, and zones of affinity, 124 Phosphorescence, dim, added to the unilluminated pool of sense-consciousness by the intuition, 26 Phylogeny and ontogeny, 334 -- represented in ontogeny, 27 Physical as embodiment of all possibilities, 227 -- phenomena as space-activities, 229 Physicality, the principle of, 210, _ff_ Physics of the brain, 292 _Pi_ proportion, significance of, 311-2 Pickering on space-curvature, 279 Pineal gland, energized by the pituitary body, 348-9 -- -- the, 344, _ff_ -- -- not a vestigal organ, 354 Pituitarial awakening, general results of, 355-8 Pituitary body and the Thinker, 351 -- -- as an organ, 344-352 -- -- C. De M. Sajous on, 345 -- -- hypertrophy of, 347 -- -- location of, 246 -- -- the, 344, _ff_ Plane, as generating element, 144 -- movement of, into the fourth dimension, 147