Chapter X: The Media of New Perceptive Faculties (3)

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

-- on the non-Euclidean geometry, 58-60

_Science Absolute of Space_, 60

Science and reality, 170-1

-- no longer empirical, 358

-- skeptical attitude of, 349

Scientist, method of the, opposed to the analyst, 84-5

Scopographic impressions, 19, 190

Screen, the impregnated, of creation, 232

Sea, choppy, and egos, 256-7

Search, the path of, for spatial understanding, 278

Seb, the god, 215

Sects, coplanar, 79

Self and the immensity of space, 223

-- of the universe, 217

-- the kosmic, 278

Self-consciousness, 270

-- and space, 223

-- as I-making faculty, 243

-- determination of, 302

Self-consistency, 173

_Sella turcica_, the, 345

Semi-Euclidean geometry, the, 70

Sensationalists on the intellect, 26

Sense-data, spurned by the metageometrician, 73

Sense-delivery, one, justified by the other, 76

-- symbolism of, 203-4

Sense-knowledge, the sphere of, extended, 339-40

Senses, the answer of, to new needs, 332

Sensible world, as domain of perception, 19

Sensographic impressions, as perceptions, 19

Senso-mechanisms of the intellect, 165

Sentience, the principle of, 210, _ff_

Septopyknon, the, 227

Septopyknosis, as kosmic materiality, 18, 208-10

Septopyknotic, the, principle, 228

Seven planes of matter, 212

Sextopyknon, the, 209

Sextopyknosis, defined as kosmic sensibility, 18, 208-10

Sextopyknotic, as emotional principle, 228

Shadow likened to a sense presentation, 119

Shadowgraphs, 281

Silences, nature's great, 339

Similitude of agent and principle, 243-6

Sinuosities in the pathway of life, 330

Socrates, 322

Solitariness of intellectual testimony, 76

Space and edict of disorder, 230

-- -- four-dimensional entities, 128-130

Space and quartopyknons, 219-20

-- -- self-consciousness, 223

-- -- the idealized construction, 144

-- as a dynamic process, 216

-- -- all-mother, 229-30

-- -- an assemblage of spheres, 143

-- -- becoming, 195

-- -- boundary of another space, 49-50

-- -- consistence of the kosmos, 239

-- -- curved, 164

-- -- dynamic appearance, 228, 307

-- -- eldest born of kathekosis, 215

-- -- engendered product of life, 308, _ff_

-- -- evolution, 226, _ff_

-- -- finite extension, 62, 106

-- -- generable quantity, 103

-- -- infinite continuum, 70

-- -- intuitional concept, 225

-- -- kosmic order, 265, 267

-- -- nether pole of non-manifestation, 207-8

-- -- path of life, 293-4

-- -- pseudosphere, 70

-- -- sheer roominess, 115

-- -- system of coördinates, 99

-- -- unbounded extension, 61

-- best study of, the consciousness, 269

-- conceptual, as basis of non-Euclidean geometry, 72

-- -- fundamentally distinct from perceptual, 72-75

-- elliptical, 67

-- engenderment of, 260

-- essential nature of, 212

-- fabric of, the, lends itself to measurement, 99-100

-- four-, 8

-- fractionalized space, 296

-- 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

Straight, a, determined by two points, 79

Stuff, etherealized four-dimensional, 160

Sum, angular, 79

-- triangular, less than two right angles, 59

Superconcepts, as intuitographs, 255

Superconceptual, as the intuitional, 20

Superperception and automatism of the intellect, 20

Superperceptual, the, 74

Superunodim, the, 177

Swedenborg, 180, 184

Symbol, psychic, and the brain, 190

-- words as symbols of ideas, 126-7

Symbolism of life, 286

-- -- neurographical impressions, 186

-- -- realities, 128

-- -- sense-deliveries, 204

-- -- space-genesis, 208, _ff_

Symbology, depicting planes of consciousness, 270

-- of mathematical knowledge, 203, _ff_

Synchronous evolution of faculties and properties of matter, 332

Syncretization of mind and matter, 299

Synthesis and the norm of reality, 300

Synthetic school of geometry, 56

T

Tactographic impressions, 190

Tartrate and a component in the fourth dimension, 156-7

Task of mental evolution, the supreme, 169

Taurinus, 56-7, 69

Telescope, its effect upon consciousness, 298

Tendence, intellect as scientific, 165-6

Tendencies, destined to flower as faculties, 89-91, 332

Tendency to fragmentate, the intellect and, 296

Tesseract as represented by Carus, 136-8

-- illustrated, 133

-- the, 20, 145

-- the elements of, 135

-- the four coördinates of, 132

Testimony of the intellect, incapable of comparison, 76

Tetragrammaton, the, 308

Tetrahedron, the, 135

Thalamencephalon, the, 345

Thales, 44

Theory of knowledge, 290

Thingness of objects and the impossibility of comprehending, 122

Things, the dual nature of, 119

-- -- value of, 161

Things-in-themselves, the identity of, 353

Thinkability of the fourth dimension, 125

Thinker as a pure intelligence, 184, 248

-- -- engenderer of the intellect, 291

-- -- principal to the ego, 243, _ff_

-- -- six times removed from the sensible world, 201

-- -- the source of the intuition, 26

-- and concepts, 244

-- -- his approach to the kosmic mind, 202, 223

-- -- -- larger life, 196

-- -- -- treatment of the ego, 246

-- -- -- of sense-impressions, 74-5

-- -- realism, 315

-- -- space, 193

-- -- a segment of reality, 171

-- the, and the amplitude of the degrees of realism, 198, 270

-- and the barriers of consciousness, 207

-- -- -- brotherhood of man, 301

-- -- -- degrees of realism, 175

-- -- -- manipulation of concepts, 255

-- -- -- nature of space, 268

-- -- -- neurograph, 190

-- -- -- new faculty, 335

-- -- -- perceptive faculty, 188

-- -- -- pituitary body, 351

-- defined as the spiritual man, 21

-- his consciousness and the ether, 280

-- -- dependence upon the ego, 245

-- -- method of contacting the external world, 189-191

-- -- outlook upon the universe of spatiality, 242

Thinker, his schematism of cognitive powers, 206

-- -- sphere of awareness, 283

-- 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

Vassal, life as the, of materiality, 329

Vehicle of life, form as, 330

-- -- -- mind as, 286

Vicissitudes of kosmic evolution, 215

Vision, the inner, 356

W

Wachter, 69

Wallis, John, 46, 83

Weissman, _note_, 260

Words, as symbols of ideas, 126-7, 204

World and the child mind, 121

-- as instrument of consciousness, 199, 298

-- fabric of, and geometrism, 261

-- impossibility of objectifying the fourth dimension in the
perceptual, 124

-- of phantasy, conditions of, identified with sensible realm, 146

-- phenomenal, and hyperspace entities, 128-130

-- sensible, as a carpet, 196

-- the domain of a perception, 19

-- -- genesis of, 167

World-plasm, kathekotic, 267

-- as elemental essence, 329

Y

Yoga, Rajah, 357

Youth of the earth, the nebulous, 335

Z

Zollner, and the claims of the spiritualists, 154

Zones of Affinity, 22, 124

Zoometer, the, 297

Transcriber's Notes

Variations in spelling, punctuation and hyphenation have been retained
except in obvious cases of typographical errors. Inconsistencies
between the text and index have been resolved in favour of the text.

Duplication of the sub title (The Mystery of Space) on consecutive
pages has been removed.

Italics are shown thus _italic_.

In the five cases where illustrations could be realistically rendered
using only text symbols this has been done.

End of Project Gutenberg's The Mystery of Space, by Robert T. Browne