Baader, Franz X. von, and dualism, 307

Baal, shrines as basilicas, 209_n._;

cults, 406, 407;

contemporaries, table i

Baalbek, basilica, 209_n._;

Sun Temple as pseudomorphic, 210

Babylon, and time, 9, 15;

geographical science, 10;

place in history, 17;

autumnal city, 79

Baccio della Porta. _See_ Bartolommeo

Bach, John Sebastian, contemporaries, 27, 112, 417, table ii;

as analysist, 62;

contemporary mathematic, 78;

fugue, 230;

and dominance of music, 231;

and popularity, 243;

pure music, 283;

ease, 292;

ethical passion, 355;

God-feeling, 394

Bachofen, Johann J., Classical ideology, 28;

on stone, 188

Backgrounds, in Renaissance art, 237;

in Western painting, 239;

in Western gardening, 240.

_See also_ Depth-experience

Bacon, Francis, Shakespeare controversy, 135_n._

Bacon, Roger, world-conception, 99;

and mechanical necessity, 392;

contemporaries, table i

Bähr, Georg, architecture, 285

Baghdad, autumnal city, 79;

contemporary cities, 112;

philosophy of school, 248, 306, 307;

contemporaries of school, table i

Ballade, origin, 229

Bamberg Cathedral, sculpture, 235

Barbarossa, symbolism, 403

Baroque, mathematic, 58, 77;

musical association, 87, 228_n._, 230;

as stage of style, 202;

sculpture as allegory, 219_n._;

origin, 236;

depth-experience in painting, 239;

in gardening, 240;

portraits, 265;

Michelangelo’s relation, 277;

philosophy, reason and will, 308;

soul, 313, 314;

contemporaries, table ii.

_See also_ Art

Bartolommeo, Fra (Baccio della Porta), and line, 280;

dynamic God-feeling, 394

Basilica, as pseudomorphic type, 209, 210;

and Western cathedral, 211, 224;

contemporaries, table ii

Basilica of Maxentius (Constantine), Arabian influences, 212

Basra School, philosophy, 248, 306;

contemporaries, table i

_Basso continuo._ _See_ Thoroughbass.

Baths of Caracalla, Syrian workmen, 211, 212

Battista of Urbino, portrait, 279

Baudelaire, Pierre Charles, sensuousness, 35;

autumnal accent, 241;

and the decadent, 292

Bayle, Pierre, and imperialism, 150

Bayreuth. _See_ Wagner

Beauty, transience, cultural basis, 194;

as Classical rôle, 317

Become, Civilization as, 31, 46;

philosophers, 49_n._;

explained, relationships, 53;

and learning, 56;

and extension, 56;

and mathematical number, 70, 95;

relation to nature and history, 94-98, 102, 103;

and symbolism, 101;

and causality and destiny, 119;

and problem of time, 122;

and mortality, 167;

in art, 194.

_See also_ Becoming; Causality; Nature; Space

Becoming, and history, 25, 94-98, 102, 103;

philosophers, 49_n._;

explained, relationships, 53;

intuition, 56;

and direction, 56;

and chronological number, 70;

relation to nature and destiny and causality, 119, 138, 139;

and mathematics, 125, 126;

in art, 194.

_See also_ Become; Destiny; History; Time

Beech, as symbol, 396

Beethoven, Ludwig van, contemporary mathematic, 78, 90;

and pure reason, 120;

and imagination, 220;

orchestration, 231;

inwardness, “brown” music, 251, 252, 252_n._;

music as confession, 264;

period, 284;

straining, 291;

contemporaries, table ii

Bell, as Western symbol, 134_n._

Bellini, Giovanni, and portrait, 272, 273

Benares, autumnal city, 99

Benedetto da Maiano, and ornament, 238;

and portrait, 272

Bentham, Jeremy, and imperialism, 150;

and economic ascendency, 367;

contemporaries, table i

Berengar of Tours, controversy, 185

Berkeley, George, on mathematics and faith, 78_n._

Berlin, megalopolitanism, 33;

as irreligious, 79, 358

Berlioz, Hector, contemporaries, table ii

Bernard of Clairvaux, Saint, contemporaries, 400, table i

Bernini, Giovanni Lorenzo, architecture, 87, 231, 244, 245;

contemporaries, table ii

Bernward, Saint, as architect, 107_n._, 206

Berry, Duke of, Books of Hours, 239

Beyle, Henri. _See_ Stendhal

Bible, and periodic history, 18;

as Arabian symbol, 248.

_See also_ Christianity

Biedermeyer, contemporaries, table ii

Binchois, Égide, music, 230

Binomial theorem, discovery, 75

Biography, and portraiture, 12;

Cultures and, 13, 14;

and character, 316;

and Western tragedy, 318.

_See also_ Portraiture

Biology, and preordained life-duration, 108;

in politics, 156;

as weakest science, 157;

and Civilization, 360

Bismarck, Fürst von, wars and cultural rhythm, 110_n._;

and destiny, 145;

morale, 349

Bizet, Georges, “brown” music, 252

Blood, Leonardo’s discovery of circulation, 278

Blue, symbolism, 245, 246

Boccaccio, Giovanni, and Homer, 268_n._

Body, as symbol of Classical Culture, 174;

and geometrical systems, 176_n._;

in Arabian philosophy, 248;

and soul, Classical expression, 259-261.

_See also_ Sculpture; Spirit

Böcklin, Arnold, act and portrait, 271_n._;

painting, 289, 290

Boehme, Jakob, contemporaries, table i

Bogomils, iconoclasts, 383

Bohr, Niels, and mass, 385, 419

Boltzmann, Ludwig, on probability, 380_n._

Boniface, Saint, as missionary, 360

Book, and cult-building, 197_n._

Books of Hours, Berry’s, 239

Books of Numa, burning, 411

Boomerang, and mathematical instinct, 58

Borgias, Hellenic sorriness, 273

Boscovich, Ruggiero Giuseppe, and physics, 314_n._, 415

Botticelli, Sandro, Dutch influence, 236;

goldsmith, 237;

and portrait, 271, 272

Boucher, François, and body, 271

Boulle, André C., Chippendale’s ascendency, 150_n._

Bourbons, analogy, 39

Boyle, Robert, and element, 384

Brahmanism, transvaluation, 352;

Buddhist interpretation of Karma, 357;

contemporaries of Brahmanas, table i.

_See also_ Indian Culture

Brain, and soul, 367

Bramante, Donato d’Angnolo, plan of St. Peter’s, 184

Brancacci Chapel, 237, 279

Brass musical instruments, colour expression, 252_n._

Bronze, and Classical expression, 253;

patina, 253;

Michelangelo and, 276

Brothers of Sincerity, on light, 381;

contemporaries, table i

Brown, symbolism of studio, 250, 288;

Leonardo and, 280

Bruckner, Anton, end-art, 223;

“brown” music, 252

Bruges, loss of prestige, 33;

as religious, 358

Brunelleschi, Filippo, linear perspective, 240;

and antique, 275_n._;

architecture, 313

Bruno, Giordano, world, 56;

martyrdom, 68;

and vision, 96;

esoteric, 326;

astronomy, 331;

contemporaries, table i

Brutus, M. Junius, character, 5

Buckle, Henry T., and evolution, 371

Buddhism, and Civilization, end-phenomenon, materialism, 32, 352, 356,

357, 359, 409;

and state, 138;

Nirvana, 178, 357, 361;

morale, 341, 347;

scientific basis of ideas, 353;

moral philosophy, 355;

as peasant religion, 356_n._;

and Christianity, 357;

and contemporaries, 357, 358, 361, table i;

and diet, 361.

_See also_ Religion

Burckhardt, Jacob, Classical ideology, 28;

on Renaissance, 234

Buridan, Jean, Occamist, 381

Burlesque, Classical, 30, 320

Busts, Classical, as portraits, 269, 272

Buxtehude, Dietrich, organ works, 220

Byron, George, Lord, and Civilization, 110

Byzantinism, as Civilization, 106;

and portraiture, 130_n._;

style, 206;

Acanthus motive, 215;

allegorical painting, 219_n._;

contemporaries, tables ii, iii.

_See also_ Arabian Culture

Byzantium, tenement houses, 34_n._

Cabeo, Nicolaus, theory of magnetism, 414

Caccias, character, 229

Cæsar, C. Julius, analogies, 4, 38;

and newspaper, 5;

and democracy, 5;

conquest of Gaul, 36_n._;

practicality, 38;

and calendar and duration, 133;

and economic organization, 138;

and destiny, 139;

bust, 272;

morale, 349;

Divus Julius, 407;

contemporaries, table iii

Cæsarism, and money, 36;

contemporary periods, table iii

Calchas, cult, 185

Calculus, and Classical astronomy, 69;

limit-idea, 86;

Newtonian and Leibnizian, 126_n._;

and religion, 170;

as Jesuit style, 412;

basis threatened, 419.

_See also_ Mathematics

Calderon de la Barca, Pedro, plays as confession, 264

Calendar, Cæsar’s, 133

Caliphate, Diocletian’s government, 72, 212;

deification of caliph, 405

Callicles, ethic, 351

Calvin, John, predestination and evolution, 140_n._, 141;

and Western morale, 348;

variety of religion, 394;

contemporaries, table i

Can Grande, statue, 272

Cannæ, as climax, 36

Canning, George, and imperialism, 149_n._

Cantata, and orchestra, 230

Canzoni, character, 229

Caracalla, and citizenship and army, 335, 407

Carcassonne, restoration, 254_n._

Cardano, Girolamo, and numbers, 75

Care, and distance, 12;

cultural attitude, relation to state, 136, 137;

and maternity, 267

Carissimi, Giacomo, music, pictorial character, 230, 283

Carneades, and mechanical necessity, 393

Carstens, Armus J., naturalism, 212

Carthage. _See_ Punic Wars

Carthaginians, and geography, 10_n._, 333

Castle, and cathedral, 195, 229

Catacombs, art, 137_n._, 224

Categories, tabulation, 125

Catharine of Siena, Saint, and Gothic, 235

Cathedral, as ornament, 195;

and castle, 229;

forest-character, 396;

contemporaries, table ii.

_See also_ Gothic; Romanesque

Cato, M. Porcius, Stoicism and income, 33

Cauchy, Augustin Louis, notation, 77;

mathematic problem, 85;

and infinitesimal calculus, 86;

mathematical position, 90;

goal of analysis, 418;

contemporaries, table i

Causality, history and Kantian, 7;

and historiography, 28;

and number, 56;

and pure phenomenon, 111_n._;

and destiny and history, limited domain, 117-121, 151, 156-159;

and space and time, 119, 120, 142;

and principle, 121;

and grace, 141;

and reason, 308;

and Civilization, 360;

and destiny in natural science, 379;

and mechanical necessity, 392-394.

_See also_ Become; Destiny; Nature; Space

Cavern, as symbol, 200, 209, 215, 224

Celtic art, as Arabian, 215

Centre of time, and history, 103

Ceres, materiality, 403

Cervantes, Miguel de, tragic method, 319

Ceylon, Mahavansa, 12

Cézanne, Paul, landscapes, 289;

striving, 292

Chæronea, issue at battle, 35

Chalcedon, Council of, and Godhead, 209, 249

Chaldeans, astronomy, Classical reaction, 147

Chamber-music, as summit of Western art, 231

Chan-Kwo period, contemporaries, table iii

Character, and person, 259;

and will, Western ego, 314, 335;

Cultures and study, 316;

gesture as Classical substitute, 316;

in Western tragedy, Classical contrast, 317-326.

_See also_ Morale; Soul

Chardin, Jean B. S., and French tradition, 289

Chares, Helios and gigantomachia, 291

Charity. _See_ Compassion

Charlemagne, analogies, 4, 38;

contemporaries, table iii

Charles XII of Sweden, analogy, 4

Chartres Cathedral, sculpture, 235, 261

Chemistry, thoughtless hypotheses, 156_n._;

no Classical, 383;

Western so-called, 384;

as Arabian system, 384, 393;

new essence, entropy, 426.

_See also_ Natural science

Cheops, dynasty, 58_n._

Chephren, dynasty, 58_n._;

tomb-pyramid, 196, 203

Chian, contemporaries, table iii

Children, Western portraiture, 266-268. _See also_ Motherland.

Chinese Culture, historic feeling, 14;

imperialism, 37;

philosophers, 42, 45;

time-measurement, 134_n._;

ancestral worship, 135_n._;

and care, 136;

attitude toward state, 137;

economic organization, 138;

destiny-idea, landscape as prime symbol, 190, 196, 203;

lack of early art survivals, 190_n._;

and tutelage, 213;

music, 228;

gardening, 240;

bronzes, patina, 253_n._;

portraiture, 260, 262;

Civilization, 295;

soul, perspective as expression, 310_n._;

passive morale, 315, 341, 347;

and discovery, 333, 336;

political epochs, table iii.

_See also_ Cultures

Chippendale, Thomas, position, 150_n._

Chivalry, southern type, 233_n._

Chorus, in art-history, 191;

in Classical tragedy, 324

Chosroes-Nushirvan, art of period, 203

Chóu Li, on Chóu dynasty, 137

Chóu Period, and care, 137;

contemporaries, table iii

Christianity, comparisons, 4;

Eastern, and historical-periods, 22_n._;

and poor Stoics, 33_n._;

as Arabian, 72, 402;

Mary-cult, Madonna in art, 136, 267, 268;

destiny in Western, 140;

architectural expression of early, 208-211;

colour and gold as symbols, 247-250;

in Western art, spiritual space, 279;

dualism in early, 306;

“passion”, 320_n._;

Eastern, and home, 335;

Western transformation of morale, 344, 347, 348;

and Buddhism, 357;

of Fathers and Crusades, 357_n._;

missionarism, 360;

God-man problem as alchemistic, 383;

and mechanical necessity, miracles, 392, 393;

elements of Western, 399-401;

foreign gods as titles, 408_n._

_See also_ Religion

Chronology, relation of Classical Culture, 9, 10;

as number, 97, 153_n._;

and the when, 126;

and archæology, 134.

_See also_ History

Chrysippus, and Stoicism, 33, 358;

and corporeality, 177

Chuang-tsü, practical philosophy, 45

Chun-Chiu Period, contemporaries, table iii

Cicero, M. Tullius, analogy, 4

Cimabue, Giovanni, and nature, 192;

and Byzantine art, 238;

and Francis of Assisi, 249_n._;

and portraiture, 273

Cimarosa, Domenico, ease, 292

Cistercians, soul, 360

Citizenship, Classical concept, 334. _See also_ Politics

Civilization, defined, as destiny of a Culture, 31-34, 106, 252, 353,

354;

and the “become”, 31, 46;

and megalopolitanism, 32, 35;

money as symbol, 34-36;

and economic motives, 35;

imperialism, 36;

destiny of Western, 37, 38;

and scepticism, 46, 409;

Alexander-idea, 150;

English basis of Western, 151, 371;

Western, effect on history, 151;

so-called art, 197, 293-295;

style histories, 207;

Western painting, _plein-air_, 251, 288, 289;

and gigantomachia, 291;

Manet and Wagner, 293;

transvaluation of values, striving, 351, 353;

Nihilism and inward finishedness, 352;

manifestations, 353, 354;

problematic and plebeian morale, 354, 355;

and irreligion, 358;

diatribe as phenomenon, 359;

and biological philosophies, philosophical essence, 361, 367;

natural science, 417;

contemporary spiritual epochs, table i;

contemporary art epochs, table ii;

contemporary political epochs, table iii.

_See also_ Cultures

Clarke, Samuel, and imperialism, 150

Classical Culture, philosophy, culmination, 3, 45;

ahistoric basis, 8-10, 12_n._, 97, 103, 131-135, 254, 255, 264, 363;

and chronology, 9, 10_n._;

and geography, 10_n._;

religious expression, bodied pantheon, later monotheistic tendencies,

10, 11, 13, 187, 312, 397, 398, 402-408;

and mortality, funeral customs, 13, 134;

portraiture, 13, 130, 264, 265, 269, 272;

and archæology, 14;

and measurement of time, 15;

mathematic, 15, 63-65, 69, 77, 83, 84, 90;

contemporary Western periods, 26;

Western views, ideology, 27-31, 76, 81, 237, 238, 243, 254, 270, 323;

“Classical” and “antike”, 28_n._;

civilization, Rome, Stoicism, 32-34, 36, 44, 294, 352;

cosmology, astronomy, 63, 68, 69, 147, 330;

cultural significance of mathematic, 65-67, 70;

and algebra, 71;

surviving forms under Arabian Culture, 72, 73, 208;

opposition to Western soul, 78;

and space, 81-84, 88, 175_n._;

“smallness”, 83;

relation to proportion and function, 84, 85;

popularity, 85, 254, 326-328;

and destiny-idea, dramatic illustration, 129, 130, 143, 146, 147,

317-326, 424;

care and sex attitude, family and home, 136, 266-268, 334-337;

attitude toward state, 137, 147;

and economic organization, 138;

actualization of the corporeal only, sculpture, 176-178, 225, 259-

261;

soul, attributes, 183, 304, 305;

architectural expression, 184, 198, 224;

weak style, 203;

art-work and sense-organ, 220;

and music, 223, 227;

and form and content, 242;

and composition, 243;

colour, 245-247;

nature idea, statics, 263, 382-384, 392;

and discovery, 278;

painting, 287;

will-less-ness, 309, 310;

lack of character, gesture as substitute, 316;

art and time of day, 325;

morale, ethic of attitude, 341, 342, 347, 351;

and “action”, 342_n._;

cult and dogma, 401, 410;

and strange gods, 404;

scientific periods, 424;

spiritual epochs, table i;

art epochs, table ii;

political epochs, table iii.

_See also_ Art; Cultures; Renaissance; Science

Classicism, and dying Culture, 108;

defined, 197;

period in style, 207

Claude Lorrain, landscape as space, 184;

“singing” picture, 219;

and ruins, 254;

colour, 246, 288;

period, 283;

landscape as portrait, 287

Cleanliness, cultural attitude, 260

Cleisthenes, contemporaries, table iii

Cleomenes III, contemporaries, table iii

Cleon, and economic organization, 138

Clepsydra, Plato’s, 15

Clock, and historic consciousness, 14;

religious aspect, 15_n._;

cultural attitude, 131, 134

Clouds, in paintings, 239

Cluniac reform, and architecture, 185

Clytæmnestra, and Helen, 268

Cnidian Aphrodite, 108, 268

Cnossos art, 224_n._, 293;

contemporaries, table ii

Cobbett, William, population theory, 185_n._

Cognition, and nature, 94, 102, 103

Colleoni, Bartolommeo, statue, 238, 272

Colosseum, and real Rome, 44;

form type, 204;

contemporaries, table ii

Colossus of Rhodes, and gigantomachia, 291

Colour, Goethe’s theory, 157_n._, 158_n._;

and depth-experience, 242;

Classical and Western use, symbolism, 245-247;

Western blue and green, 245;

Arabian Culture and gold, 247-249;

brushwork and motion-quality, 249;

studio-brown, as symbol, 250, 288;

Leonardo’s sense, 280;

_plein-air_, 288.

_See also_ Painting

Columbus, Christopher, and Spanish ascendency, 148;

and Leonardo, 278;

and space and will, 310, 337;

spiritual result, 334

Column, as symbol, 166, 184, 214, 260_n._, 345;

Classical orders, 204;

and arch, 214, 236

Compass, symbolism, 333

Compassion, times and meaning, 347-351;

and Socialism, 362

Composition in art, cultural basis, 243

Comprehension, qualities, 99

Comte, Auguste, provincialism, 24;

and economic ascendency, 367, 373;

contemporaries, table i

Confession, as Western symbol, 131, 140, 261, 264;

absence in Renaissance art, 273

Confucius, and actuality, 42;

and analogies, 357

Conic sections, contemporaries, table i

Conquest, as Western concept, 336

Consciousness, phases, 154

Consecutives in church music, 188

Conservation of energy, and causality, 393;

and first law of thermodynamics, 413;

and concept of infinity, 418;

and entropy, 420-424

Constable, John, significance of colour, 251;

and impressionism, 288

Constantine the Great, and artistic impotence, 294;

as caliph, 405;

religion, 407

Constantinople. _See_ Byzantium; Haggia Sophia

Consus, materiality, 403

Contemplation, defined, 95

Contemporaneity, intercultural, 26, 112, 177, 202_n._, 220;

number paradigm, 90;

Classical sculpture and Western music, 226, 283, 284, 291;

in physical theories, 386;

spiritual epochs, table i;

culture epochs, table ii;

political epochs, table iii

Contending States, period in China, homology, 111

Content, and form, 242, 270

Contrition, sacrament as Western symbol, 261, 263

Conversion, impossibility, 345

Copernicus, Classical anticipation of system, 68, 139;

and destiny, 94;

discovery and Western soul, 310, 330, 331

Corelli, Arcangelo, sonatas, 226, 283;

and dominance of music, 231;

colour expression, 252_n._;

Catholicism, 268_n._

Corinth, and unknown gods, 404

Corinthian column, contemporaries, table ii. _See also_ Column

Corneille, Pierre, and unities, 323

Corot, Jean B. C., colour, 246, 289;

and nude, 271;

impressionism, 286;

landscape as portrait, 287;

ease, 292

Cosmogonies, contemporaries, table i

Cosmology, cultural attitude, 63, 68, 69, 147, 330-332.

_See also_ Astronomy

Counterpoint, and Gothic, 229;

and fugue, 230.

_See also_ Music

Counter-Reformation, Michelangelo and spirit, 275

Couperin, François, pastoral music, 240;

colour expression, 252_n._

Courbet, Gustave, landscapes, 288-290

Courtyards, Renaissance, 235

Cousin, Victor, and economic ascendency, 367

Coysevox, Antoine, sculpture, 232;

decoration, 245

Cranach, Lucas, and portraiture, 270

Crassus Dives, M. Licinius, and city of Rome, 34

Cremation, as cultural symbol, 134

Cresilas, and portraiture, 130_n._, 269

Crete, inscriptions, 12_n._;

Minoan art, 198

Cromwell, Oliver, and imperialism, 149;

contemporaries, table iii

Crusades, symbolism, 15_n._, 198;

and Trojan War, 27;

Christianity, 357_n._;

contemporaries, table iii

Ctesiphon, school, 63

Cult and dogma, cultural attitudes, 401, 410, 411;

in natural science, 412

Cultures, Spengler’s morphological theory, xi;

obligatory stages, symbols, 3, 4, 6, 38, 39;

superficial and real analogies, 4, 6, 27, 38;

theory of distinct cycles, 21, 22, 31, 78;

divergent viewpoints, 23, 46, 131;

as organisms, mortality, 26, 104, 109, 167;

contemporary periods, 26, 112, 177, 202_n._, 220;

Civilization as destiny, 31-34, 106, 252, 353, 354;

symmetry, 47;

and notion of the world, language, 55;

physiognomic meaning as essence of history, 55, 101, 104, 105;

mathematical aspects, separation, 57-63, 67, 70;

and universal validity, 60, 146, 178-180, 202, 287;

number-thought and world-idea, 70;

stages, 106, 107;

application of term “habit” or “style”, 108, 205;

recapitulation in life of individuals, 110;

homologous forms, 111;

separate destiny-ideas, 129, 145;

comparative study, 145_n._;

as interpretation of soul, 159, 180, 302-304, 307, 313, 314;

cultural and intercultural macrocosm, 165;

particular, and nature, 169;

kind of extension as symbol, 173-175;

actualization of depth-experience, 175;

plurality of prime symbols, 179, 180;

tutelage, 213;

art forms and spiritualities, 214-216;

arts of form as symbolic expression, 219;

significance of species of art, 222-224;

as bases of morale, 315, 345-347;

and times of day, 325;

and nature-law, 377-380, 382, 387;

scientific period, 381;

religious springtimes, 399-402;

renunciation, second religiousness, 424;

characteristics of seasons, table i;

contemporary art epochs, table ii;

contemporary political epochs, table iii.

_See also_ Arabian; Art; Chinese; Classical; Egyptian; History;

Indian; Macrocosm; Morphology; Nature; Spirit; Western

Cupid, as art motive, 266

Cupola. _See_ Dome

Curtius Rufus, Quintus, biography of Alexander, 4

Cusanus, Nikolaus. _See_ Nicholas of Cusa

Cuyp, Albert, landscape as portrait, 287

Cyaxares, and Henry the Fowler, 4

Cybele, cult, 406

Cynics, practicality, 45;

morale, 203, 342;

and digestion, 361;

contemporaries, table i

Cypress, as symbol, 396

Cyrenaics, practicality, 45;

contemporaries, table i

Dante Alighieri, historical consciousness, 14, 56, 142, 159;

influence of Joachim of Floris, 20;

and vision, 96;

homology, 111;

and popularity, 243;

and confession, 273;

and psychology, 319;

and time of day, 325_n._;

esoteric, 328;

morale, 355;

variety of religion, 394;

contemporaries, table i

Danton, Georges, adventurer, 149

Darwinism and evolution, and Socialism, 35, 370-372;

and practical philosophy, 45;

morphology and vision, 104_n._, 105;

Goethe and, 111_n._;

and teleology, 120;

and destiny, 140;

and cultural art-theory, 141_n._;

and usefulness, 155;

and biological politics, 156;

nature and God, 312;

anticipation, Darwin’s political-economic application, 369-373;

contemporaries, table i

Daumier, Honoré, act and portrait, 271_n._;

and grand style, 290

David, Pierre Jean, naturalism, 212

Dea Cælestis, 406

Death, and historical consciousness, 13;

and become, 54, 167;

Cultures and funeral customs, 134, 135, 185;

and space, 166;

and world-fear and symbolism, 166;

stone as emblem, 188;

and ornament, 195

Decoration, architectural, 196;

Gothic, and bodilessness, 199;

Arabian, 208, 212;

mosaic, 214;

Acanthus motive, 215.

_See also_ #Ornament#

Dedekind, Richard, notation, 77, 95

Definitions, and destiny, xiv;

fundamental, 53-56

Deism, cause, 187, 412;

concept, 312_n._;

Baroque, and mechanics, 412.

_See also_ Religion

Deities, cultural basis, 312. _See also_ Religion

Delacroix, Ferdinand V. E., and impressionism, 288;

contemporaries, table ii

Delphi, Polygnotus’s frescos, 243

Demeter cult, 83;

spring festivals, 320;

contemporaries, table i

Demeter of Knidos, statue, 136

Demetrius of Alopeke, and portraiture, 130, 269

Democracy, decay by formalism, 35;

contemporary periods, table iii.

_See also_ Politics

Democritus, and corporeality, 177;

and ego, 311;

cosmology, 331;

atoms, 385;

Leibniz as contemporary, 386;

and motion, 389;

and mechanical necessity, 392-394;

contemporaries, table i

Demosthenes, statue, 270

Depth-experience, significance, 168, 169, 172-174;

and number, 171;

and time, 172, 173;

realization as cultural symbol, 173-175;

in Western painting, 239, 246;

in Western gardening, 240;

and destiny, 241;

and philosophy in art, 243;

in portrait, 263, 266;

and impressionism, 285-287;

and will, 311;

in Socialism, 361;

and natural science, 380, 386, 394;

Western God-feeling, 395;

cathedral and organ, 396.

_See also_ Destiny; Space

Desargues, Girard, mathematic, 75

Descartes, René, civic world-outlook, 33;

and actuality, 42;

style, 61;

mathematics and religion, 66;

relation to Classical mathematic, 69;

and new number-idea, 74, 75, 81, 88, 90, 126, 188;

contemporaries, 112, table i;

and Jansenists, 314_n._;

as thinker, 366;

thinking and being, 387;

on force, 413

Des Près, Josquin, music, 230

Destiny, and pessimism, xiv;

historical, 3, 4, 6, 38-41;

as logic of time, 7;

acceptance, 40, 44;

in World War, 47;

fulfilment of Western mathematic, 90;

of a Culture, 106, 145;

and causality, 117-121;

soul and predestination, 117;

organic logic, 117;

and time and space, 119, 120;

and idea, 121;

in art, revolts, 127, 128, 233;

separate cultural ideas, illustrations, 129-131, 145-149, 189, 190,

424;

in Western Christianity, 140, 141;

and incident, 138-141, 144;

and nature, 142;

Classical “fate”, body and personality, 143, 147;

youth, 152;

and Western depth-experience, 241;

patina as symbol, 253;

and motherhood, 267;

Western, and painting, 276_n._;

ethic and soul’s view, 302, 346, 355;

and will, 308;

and Civilization, 360;

and causality in natural science, 379;

and decay of exact science, 422-424.

_See also_ Becoming; Causality; Civilization; History; Time

Devil, disappearance, 187;

and Arabian dualism, 312, 363

Diadochi, period as episode, 149, 151

Diagoras, character of atheism, 408_n._;

condemnation, 411

Diatribe, as phenomenon of Civilization, 359

Dido, cult, 406_n._

Diet, and Civilization, 361

Diez, Feodor, significance of colour, 252

Differential calculus, as symbol, 15. _See also_ Calculus

Dimension, abstract notion, 89;

significance of depth, 168;

singularity, 169_n._

Dinzenhofer, Kilian I., architecture, 285

Diocletian, as caliph, 72, 212, 405;

as epoch, 149;

and Mithras 406

Diogenes, morale, 203;

and deity, 313;

Indian kinship, 347, 357

Dionysiac movement, Alexander and legend, 8;

contemporaries, homology, 27, 110, table i;

as revolt, 233, 356;

spring festival, 320, 321, 324

Dionysius I, contemporaries, table iii

Diophantus, algebra, and Arabian Culture, 63, 71-73, 383

Dipylon vases, 73, 107, 196

Direction, and time and becoming, 54, 56;

and extension, 99, 172;

and dimension, 169_n._;

and will, 308;

and aim, 361.

_See also_ Time

Discant, music, 229

Discobolus, Myron’s, 263, 265

Discovery, as Western trait, 278, 279, 332;

and space and will, 310, 337;

spiritual results, 334

Divinities. _See_ Religion

Dogma and cult, cultural attitude, 401, 410, 411;

in natural science, 412

Doliche, Baal, 407

Dome, as Arabian art expression, 210

Dome of the Rock, characteristics, 200

Dominicans, influence of Joachim of Floris, 20

Domitian, contemporaries, table iii

Donatello, and Gothic, 225_n._;

“David”, 265;

and portrait, 272

Doric, column as symbol, 9, 195;

and Gothic, 27;

timber style, 132;

and Ionic, 205;

and Egyptian, 213;

Western exclusion, 345;

contemporaries, table ii, iii.

_See also_ Architecture; Column

Dostoyevski, Feodor M., and Europe, 16_n._;

Raskolnikov’s philosophy, 309;

and compassion, 350

Drama, cultural basis, Classical and Western, 128-131, 141_n._, 143,

147, 148, 203, 255, 317-322, 347;

German, 290;

development of Classical, 320, 321;

cultural basis of form, unities, 322, 323;

undeveloped Western, 323;

Classical elimination of individuality, 323;

chorus, 324;

and time of day, 324;

attitude toward scene, 325;

and cultural basis of morale, 347;

and philosophy of Western activism, 368, 372;

Classical, and atomic theory, 386

Dresden, architecture, 207, 285;

chamber music, 232

Droem, autumnal accent, 241

Dryads, passivity, 336;

materiality, 403

Dschang Yi, and imperialism, 37

Dualism, in Arabian Culture, 305-307, 363;

and will and reason, 309;

in religion, 312

Dühring, Eugen Karl, position in Western ethics, 373

Dürer, Albrecht, historical heads, 103;

colour, 245, 250;

and act and portrait, 270

Dufay, Guillaume, music, in Italy, 230, 236

Duns Scotus, historical place, 72;

contemporaries, table i

Dunstaple, John, music, 230

Duration. _See_ Life

Durham, palatinate, 349_n._

Dyck, Anthony van. _See_ Van Dyck

Dynamics, as Western system, 384, 393. _See also_ Natural science

Eckhardt, Meister, on imitation, 191;

mysticism, 213;

egoism, 335;

wisdom and intellect, 409;

contemporaries, table i

Economic motives. _See_ Money

Economic organization, cultural attitude toward care, 138

Economics, and Western practical ethics, 367-369.

_See also_ Politics; Socialism

Eddas, space-expression, 185, 187;

and Western religion, 400, 423;

contemporaries, table i

Edessa, school, 63, 381;

and Arabian art, 209;

Baal, 407

Edfu, temple, 294

Edward I of England, and archery, 333_n._

Edward III of England, and archery, 333_n._

Egoism, in Western Culture, 262, 302, 309, 335

Egyptian Culture, historic aspect, 12;

and immortality, 13;

and pure number, 69;

historical basis, funeral custom, 135;

and care, 136;

and Mary-cult, 137;

attitude toward state, 137;

economic organization, 138;

stone as symbol, 188;

destiny-idea, path as prime symbol, 188, 189;

architectural expression, 189, 202;

brave style, 201-203;

and tutelage, 213;

streets, 224;

art composition, 243;

sculpture, 248_n._, 266;

and portrait, 262;

Civilization, 294, 295;

view of soul, 305;

morale, 315;

and discovery, 332;

and Socialism, 347;

and man-deification, 405_n._;

art epochs, table ii;

political epochs, table iii.

_See also_ Cultures; arts by name, especially Architecture

Egyptianism, contemporary periods, table iii

Eichendorff, Joseph von, poetry, 289

Eleatic philosophy, and motion, 305_n._, 388, 390

Elements, cultural concepts of physical, 383, 384. _See also_ Atomic

theories; Natural science

Eleusinian mysteries, dramatic imitation, 320

Elis, treaty, 10_n._

Emigration, cultural attitude, 336

Empedocles, elements, 327, 383, 384;

on atoms, 386

Emperor-worship, 405, 407, 411

Empire style, as Classicism, 207;

contemporaries, table ii

Encyclopedists, contemporaries, table i

Energy, and _voluntas_, 310_n._

Engels, Friedrich, and Hegelianism, 367;

position in Western ethics, 373

England, Manchester system and Western Civilization, 29, 151, 371;

imperialism and Napoleonic epoch, 149-151

Enlightenment, Age of, and movement, 155;

effect on monasticism, 316_n._;

and tolerance, 343;

and cult and dogma, 411

Entelechy, ahistoric aspect, 15

Entropy, theory, formulations, 420;

effect, 421-424

Epaminondas, and invented history, 11

Ephesus, Council of, and Godhead, 209

Epic, and religion, 399-402

Epictetus, and Jesus, 347

Epicureanism, practicality, 45;

morale, 315;

and will, 341, 342;

contemporaries, table i

Epicurus, Indian kinship, 347;

character of Nihilism, 357;

and Socialism, 358;

and mathematics, 366;

and ethics, 367;

contemporaries, table i

Epigoni, and Socialism, 374

Epistemology, and history, 119, 355

Epochs, personal and impersonal, 148. _See also_ Incident; Destiny

Epos, contemporaries of popular, table i

Erastosthenes, as creator, 425

Erechtheum, in style history, 108, 207

Eroticism. _See_ Sex

Esoterics, in Western Culture, 326-329.

_See also_ Popularity

Etching, Leonardo’s relation, 281;

as Western art, 290

Ethics, relation to Culture, 354;

period in philosophy, 365-367;

socio-economic character of Western, 367-369;

dramatical presentation of Western, 368, 372;

evolution theory, aspects, 369-372;

landmarks of Western, 373, 374;

exhaustion of period, 374.

_See also_ Metaphysics; Morale; Philosophy

Etruscan, round-buildings, 211_n._;

contemporaries of discipline, table i

Eucharist, cultural significance, 185, 186;

as centre of Western Christianity, 247

Euclid, mathematical style, 59, 64, 65;

limitation of geometry, 67, 88;

mathematical position, 90;

parallel axiom, 176_n._

_See also_ Geometry

Eudoxus, and higher powers, 66;

and infinity, 69, 69_n._;

and mathematic, 78, 90

Euler, Leonhard, mathematic, 78, 90;

and differentials, 86;

and time, 126;

contemporaries, 231, table i

Euripides, unpopularity, 35;

foreshadowing by, 111;

end-art, 223;

tragic method, 319

Europe, as historical term, 16_n._

Evolution. _See_ Darwinism

Exhaustion-method of Archimedes, 69

Experience, and historical sense, 10;

lived and learned, 55;

in Western concept of nature, 393;

and faith, 394;

and theory, 395

Experiment, and experience, 393

Exploration. _See_ Discovery

Expressionism, farce, 294

Extension, and direction, 99, 172;

and reason, 308.

_See also_ Space

Eyck, Jan van, portraits, 272, 309;

contemporaries, table ii

Eye, in sculpture, 329

Façades, cultural significance, 224;

Renaissance, 235

Fact, and theory, 378

Fairies, cultural attitude, 336, 403

Faith, and Western mathematic, 78.

_See also_ Religion

Family, Western portraits, 266;

Civilization and race-suicide, 359.

_See also_ Motherhood

Faraday, Michael, and theory, 100, 378, 416

Farnese Bull, theatrical note, 291

Fate, cultural attitude, 129.

_See also_ Destiny

Faunus, materiality, 403

Faustian soul, explained, 183. _See also_ Western Culture

Fauxbourdon, music, 229

Fayum, 58_n._

Fear, and Classical and Western tragedy, 321

Federigo of Urbino, portrait, 279

Feeling, and “proper,” 53

Fermat, Pierre de, relation to Classical mathematic, 69;

mathematic style, 74, 75, 90;

problem, 76, 77;

contemporaries, table i

Feudalism, contemporary periods, table iii

Feuerbach, Anselm von, act and portrait, 271_n._

Feuerbach, Ludwig A., provincialism, 24;

position in Western ethics, 373;

contemporaries, table i

Fichte, Johann G., basis of Socialism, 362, 374;

esoteric, 369;

and mathematics, 374;

contemporaries, table i

Fifty-year period, cultural rhythm, 110

Fischer von Erlach, Johann B., architecture, 285

Flaminius, C., and economic motive, 36;

and imperialism, 37

Fleury, Andre, Cardinal de, policy, 4, 349

Florence, culture city, loss of prestige 29, 33;

cathedral, 184, 238;

and Arabian Culture, 211;

and Renaissance, 233-238;

and Northern art, 236;

character as state, 273.

_See also_ Renaissance; Savonarola

Fluxions, significance of Newton’s designation, 15_n._

Fontainebleau, park, 240

Force, as undefinable Western concept, numen, 390, 391, 398, 402, 412-

417;

stages of concept, 417;

contradictions, 418.

_See also_ Natural science

Forest, and Western cathedrals, 396

Form, and law, 97;

and music, 219;

and content, 242, 270

Forum of Nerva, craft-art, 198, 215

Forum of Trajan, ornament, 215

Fouquet, Nicolas, and gardening, 241

Four-part movement, 231

Fourteen Helpers, 400

Fourth dimension, and Classical mathematic, 66;

and time and space, 124

Fox, Charles James, contemporaries, table iii

Fragonard, Jean H., and music, 232

France, and maturity of Western Culture, 148, 150;

_plein-air_ painting, 288, 289

Francesca, Piero della, and static space, 237;

perspective, 240;

and artistic change, 279, 287

Francis of Assisi, art influence, 249_n._;

morale, 348;

God-feeling, 395;

contemporaries, table i

Francis I of France, and imperial crown, 148

Franciscans, influence of Joachim of Floris, 20

François Vase, composition, 244

Frau Holle, and Mary-cult, 267

Frau Venus, symbolism, 403

Frazer, Sir J. G., error on “Unknown God”, 404_n._

Frederick the Great, and analogy, 4;

on chance, 142_n._;

contemporaries, table iii

Frederick William I of Prussia, and Socialism, 138;

Egyptian kinship, 347

Frederick William IV of Prussia, and German unity, 145

Free will, and destiny, 140, 141. _See also_ Will

Freedom, and historical destiny, 39

Freiburg Minster, Viking Gothic, 213

French Revolution, incident and destiny in, 148, 149

Frescobaldi, Girolamo, music, 230

Frescos, Classical, and time of day, 225, 283, 325;

Renaissance, 237, 275;

displacement by oil, 279.

_See also_ Painting

Fresnel, Augustin J., light theory, 418

Friedrich, Kaspar D., and grand style, 289

Frigga, and Mary-cult, 267

Fronde, contemporaries, table iii

Front, cultural basis of architectural, 224

Fugue, style and theme, 230, 231

Function, as symbol of Western Culture, 74-78;

and proportion, 84;

contrast with Classical construction, 85;

basis of Western number, thought, 86, 87;

Goethe’s definition, 86_n._;

expansion in groups, aggregates, 89, 90, 426.

_See also_ Mathematics

Funeral customs, as cultural symbol, 134, 135, 158

Future, youth as, 152;

cultural relation, 363

Gabrieli, Andrea, music, 252

Gabrieli, Giovanni, music, 226

Galen, as copyist, 425

Galileo, and natural philosophy, 7;

on nature and mathematics, 57;

and static idea, 236, 412;

dynamic world-picture, 311;

deeds of science, 355;

concept of force, 386, 415, 417;

and motion-problem, 390;

God-feeling, 396;

contemporaries, table i

Gama, Vasco da, spiritual result, 334

Gardening, as Chinese religious art, 190;

Western, perspective, 240, 241;

Renaissance, 241;

English, and ruins, 254

Gaugamela, battle, 151

Gaul, Cæsar’s conquest, 36_n._

Gauss, Karl F., style, 59;

artist-nature, 61;

mathematical position, 78, 85, 90, 176_n._;

and nonperceptual geometry, 88;

contemporaries, 112, table i;

and dimension, 170, 172;

and popularity, 327;

and metaphysics, 366;

goal of analysis, 418

Gaza, temple, 211

Gedon, Frau, Leibl’s portrait, 252_n._, 266_n._

Generations, spiritual relation, 110_n._

Geography, Classical Culture and, 10_n._;

influence on historical terms, 16_n._

_See also_ Discovery

Geology, and mineralogy, 96

Geometry, Kant’s error, 6_n._, 170, 171;

art expression, 61;

limitation of Classical, 67, 83, 88;

Descartes and infinite, 74;

Western mathematic and term, 81;

Western liberation, 86, 170_n._;

and arithmetic, 125, 126;

systems and corporeality, 176_n._;

and popularity, cultural basis, 327.

_See also_ Mathematics

George, Henry, autumnal accent, 241

Gerbert. _See_ Sylvester II

Géricault, Jean L. A. T., and grand style, 290

Germany, union as destiny, 144;

and music and architecture, 285;

diversion from music to painting, 289

Germigny des Près, church as mosque, 201

Gernrode Cathedral, simplicity, 196;

and antique, 275_n._

Gesture, as Classical symbol, 316;

in Classical tragedy, 317

Gesu, Il, church at Rome, façade, 313;

God-feeling, 395

Ghassanid Kingdom, 215

Ghiberti, Lorenzo, and Gothic, 225_n._, 235, 238

Ghirlandaio, Il, Dutch influence, 236

Giacomo della Porta, architecture, 314;

God-feeling, 395

Gigantomachia, and decline of art, 291

Giorgione, Il, and impressionism, 239;

clouds, 240;

colour, 251, 252;

and body, 271

Giotto, childlike feeling, 212;

technique, 221;

and fresco-art, 237;

and Francis of Assisi, 249_n._;

Gothic, 235, 274;

God-feeling, 395;

contemporaries, table ii

Giovanni Pisano, sculpture, 212, 235, 238, 263

Glass painting, Gothic and Venetian, 252;

contemporaries, table ii

Gluck, Christopher W., contemporary mathematics, 78, 90;

character of arias, 219_n._;

music, 260;

period, 284

Gnostics, music, 228;

dualism, 248, 306;

contemporaries, table i

Gobelins, and music, 232

God, Western, and will, 312. _See also_ Religion

Görres, Jakob J. von, and dualism, 307

Goes, Hugo van der, in Italy, 236

Goethe, Johann Wolfgang von, and living nature and vision, vii, 95, 96,

105, 111_n._, 113, 140, 154, 389;

influence on Spengler, xiv;

historic consciousness, 14, 142, 159;

on life, 20;

on mankind, 21;

and world-as-history, 25, 99, 104;

as Classicist, 30;

and Darwinism, 35, 111_n._, 370;

and actuality, 42, 43;

as philosopher, 49_n._, 365_n._;

on becoming and become, 49_n._, 53;

and intuition, 56;

on vision and observation, 61;

and mathematics, 61, 65, 75;

and Plato’s Ideas, 70;

on function, 86_n._;

on form and law, 97;

on symbols, 102_n._;

on historiography, 103;

and morphology, 104_n._, 111;

on blossoming of art, 107;

display of individuality, 110;

foreshadowing by, 111;

and causal effort, nature-studies, 118, 155-157, 422;

on reasonable order, 123;

and the Almighty, 124;

dramatic form, 129, 318;

destiny in life, 139, 145, 146, 281;

and imperialism, 149;

theory of colour, 157_n._, 158_n._, 246;

as Kant’s opposite, 159;

and style as organism, 205;

and imagination, 220;

Northern pantheism, 250, 251_n._;

on soul and body, 259;

lyrics, 286;

and confession, 300;

as biographer, 316;

and time of day, 324;

Faust as symbol of Civilization, 354;

ethical passion, 355;

variety of religion, 394;

and cult and dogma, 411;

on application of reason, 412;

and world-force, 413, 417;

contemporaries, table i

Götterdämmerung, Christian form, 400

Gold, and Arabian Culture, 247;

contrasting Classical use, 253_n._

Golden Age, cultural basis of concept, 363

Golden Legend, contemporaries, 400

Gorgias, autumnal accent, 207

Gospels, contemporaries, table i

Gothic, and Doric, 27;

architecture, and depth-experience, 177, 184, 185, 187, 198-200;

cathedrals as ornament, 195;

sculpture, nude, cathedral groups, 196, 197, 227, 231, 261, 266, 272;

as stage of style, 202;

and Arabian, borrowings, 211, 213;

musical association, 229, 230;

aliveness, 233;

in Italy, and Renaissance, 234-238;

esoteric, 243;

Italian, and Francis of Assisi, 249_n._;

and later Western expression, 252;

and nature, 264;

philosophy, will and reason, 308;

God-feeling, 395;

forest, cathedral, and organ, 396;

contemporaries, tables ii, iii.

_See also_ Art; Western Culture

Goujon, Jean, sculpture, 244

Government. _See_ Politics

Goya y Lucientes, Francisco, technique, 221;

act and portrait, 271_n._, 264;

ease, 292;

contemporaries, table ii

Goyen, Jan van, landscape as portrait, 287

Gracchi, and economic organization, 138;

as incident, 139

Grace, and destiny, 140, 141

Granada, and Arabian Culture, 216

Grassmann, Hermann G., religion and mathematic, 70

Gravitation, shaky hypothesis, 418

Great Mother of Pessinus, Rome and cult, 405

Greco, El, clouds, 240

Greece, and Europe, 16_n._ _See also_ Classical Culture

Green, symbolism, 245, 246

Gregory VII, pope, morale, 349

Grote, George, narrow Classicalism, 29

Groups, as culmination of Western mathematic, 89, 90, 427

Grünewald, Matthias, clouds, 240;

colour, 246, 250, 288;

and Renaissance, 274

Guardi, Francesco, painting, 207, 220

Guercino, Giovanni F. B., colour, 246;

and musical expression, 250

Guido d’ Arezzo, music, 228

Guido da Siena, and Madonna, 267

Guilhem of Poitiers, professionalism, 229_n._

Gundisapora, school, 63

Gunpowder, relation to Baroque, 278_n._, 333

Gymnastics, and sport, 35

Habit, applied to a Culture, 108

Hadrian, analogy, 4;

Pantheon as Arabian, 211

Hadrian’s Villa, type, 211_n._

Haeckel, Ernst H., and Civilization, 252;

faith in names, 397_n._

Hageladas, contemporaries, table ii

Hagia Sophia, period, 108;

miracle, 130_n._;

character, 184, 200;

mosque as resumption, 211;

acanthus motive, 215

Halo, history, 130_n._

Hals, Frans, musical expression, 250;

period, 283

Hamadryads, materiality, 403

Han Dynasty, importance, 94;

contemporaries, table iii

Handel, George F., and dominance of music, 231;

colour expression, 252_n._;

Catholicism, 268_n._;

oratorios, 283

Hannibal, contemporaries, 112, table iii;

historical position, 144;

ethical exception, 349

Happiness, and Classical ethic, 351

Harakiri, and Greek suicide, 204_n._

Hardenberg, Karl A. von, reorganization of Prussia, 150_n._

Harmodius, statue, 269_n._

Haroun-al-Raschid, analogies, 38;

contemporaries, table ii

Hauran, basilica type, 210, 210_n._

Haydn, Joseph, contemporary mathematic, 78, 90;

orchestration, 231;

colour expression, 252_n._;

and Praxiteles, 284;

period, 284;

ease, 291;

as religious, 358

Hebbel, Friedrich, provincialism, 24;

and practical philosophy, 45;

on research and vision, 102;

and cultural contrasts, 128;

as dramatist, 143, 290;

causal effort, 156;

and Civilization, 352;

nebulous aim, 363;

and Hegelianism, 367;

and economic ethics, 370, 371, 373;

character of atheism, 408_n._

Hegel, Georg W. F., and history, 19, 22;

and mystic philosophy, 365_n._;

and mathematics, 366;

and critique of society, 367, 374;

esoteric, 369;

contemporaries, table i

Heimarmene, in Classical tragedy, 320

Hei, and Valhalla, 400

Helen, and Kriemhild, 268

Helios, as god, 147_n._, 402

Hellenism, contemporaries, tables i, ii

Hellenistic art period, contemporaries, table ii

Helmholtz, Hermann L. F. von, time and mathematic, 64;

on natural science and mechanics, 377;

on electrolysis, 385_n._;

Archimedes as contemporary, 386

Henry the Fowler, and Cyaxares, 4

Henry the Lion, morale, 349

Hera, Samian temple, 225_n._

Heracles, Vatican torso, 255

Heracles legends, contemporaries, table i

Heraclitus, morale, 268_n._, 315, 343;

popularity, 327;

and Stoicism, 356;

wisdom and intellect, 409

Heræa, treaty, 10_n._

Heræum of Olympia, timber construction, 132

Herbart, Johann F., ethics, 367

Herder, Johann G. von, and history, 19

Hermes, cults, 406

Hermes Trismegistus, and chemistry, 383

Herodotus, ahistoric consciousness, 9, 146

Hersfeld, and antique, 275_n._

Hertz, Heinrich, and theory, 378;

and motion-problem, 391, 414, 416

Hesiod, contemporaries, table i

Hilda, Saint, passing-bell, 134_n._

Hildesheim Cathedral, simplicity, 196;

and antique, 275_n._

Hipparchus, as scientist, 9, 330

Hippasus, irrational numbers and fate, 65_n._

History, Spengler and morphology, xi;

and destiny and causality, experiencing and thinking, 3, 118, 121,

151;

repetitions of expression-forms, 4, 27;

needed technique of analogies, 5;

consciousness, 8;

historic and ahistoric Cultures, 8-12, 97, 103, 132-136, 254, 255,

264, 363;

consciousness and attitude toward mortality, 13;

concept of morphology, 5-8, 26, 39, 100, 101;

form and form feeling, 15, 16;

irrational culminative division scheme, 16-18, 22;

origin of the scheme, 18;

Western development of it, 19, 20, 94;

theory of distinct Cultures, 21, 22;

provincialism of Western thinkers, 22-25;

world-as-history, thing-becoming, 25, 95;

single riddle, 48;

time essence, 49;

and intuition, 56;

definite sense and nature, 55, 57, 94;

and Culture, 55;

detached view, 93;

research and vision, 96, 102, 105, 142;

anti-historical and ahistorical, 97_n._;

chronology, 97;

as original world-form, 98;

“scientific, possibility, 98, 153, 154;

and mechanistic world-conception, 99;

and direction and extension, 99, 100;

portraiture of Cultures, 101, 104, 105;

memory-picture, 103;

elements of form-world, 103, 104;

phenomena, 105, 106;

future task, organic culture-history, 105, 159;

stages of a Culture, 106-108;

preordained durations, 109;

homology, 111;

cultural contemporaneousness, 112;

enlarged possibilities, restoration and prediction, 112, 113;

teleology and materialistic conception, 121;

cultural basis of viewpoint, 131;

cultural symbols, clock;

bell, funeral customs, museums, 131, 134-136;

cultural feeling of care, 136-138;

judgment and life, 139;

incident and destiny, Western examples, 143, 148;

grandiose demand of Western, 145;

incidental character of Classical, 146, 147;

as actualizing of a soul, 147;

impersonal and personal epochs, 148;

effect of Civilization-period, 152;

and happening, 153;

causal harmonies, 153, 154, 158;

confusion in causal method, 155-157;

physiognomic investigation, 157;

symbolism, 163;

of styles, 205;

and cultural art expression, 249, 253;

and portrait, 264;

and will, 308;

and action, 343;

cultural opposition, 386;

in natural science, 389.

_See also_ Becoming; Destiny; Nature; Politics; Spirit; Time

Hittites, inscriptions, 12_n._

Hobbema, Meyndert, colour, 246

Hobbes, Thomas, and actuality, 42

Hölderlin, Johann C. F., narrow Classicalism, 28_n._;

autumnal accent, 241;

and confession, 264;

lyrics, 286;

and fatherland, 335

Hoffmann, Ernst T. A., “Johannes Kreisler”, 276_n._, 285

Hogarth, William, position, 150_n._, 283

Holbein, Hans, colour, 250;

contemporaries, table ii

Holy Grail legend, cultural significance, 186, 198;

elements, 213

Holy Roman Empire, contemporaries, table iii

Home, Henry, on ruins, 254_n._

Home, significance of term, 33_n._;

cultural basis of conception, 83, 334-337.

_See also_ Politics

Homer, contemporaries, 27, table i;

soul, 203, 305;

religion, 268_n._;

gods, 312, 313;

popularity, 328;

and Classical ethics, 349

Homology, historical application, 111, 112

Horace, and duration, 65_n._, 132

Horizon, and mathematics, 171;

in Western landscape painting, 239, 242

Horn, Georg, and term Middle Age, 22

Horoscopes, cultural attitude, 147

Houdon, Jean A., sculpture as painting, 245

Hucbald, music, 228

Hugo van der Goes. _See_ Goes

Huguenot wars, character, 33

Humboldt, Alexander von, Ethical Socialism, 374

Hus, John, contemporaries, table i

Hwang-Ti, contemporaries, table iii

Hygiene, as phenomenon of Civilization, 361

Hyksos Period, contemporaries, 111, tables ii, iii;

feebleness, 149

Hyksos Sphinx, 108, 262

Hypsicles, as Arabian thinker, 63

Iamblichus, on statues of gods, 216;

contemporaries, table i

Ibn-al-Haitan, on light, 381

Ibn Kurra, contemporaries, table i

Ibsen, Henrik, world-conception, 20;

provincialism, 24, 33_n._;

sex problem, 35;

unpopularity, 35;

and practical philosophy, 45;

causal effort, 156;

tragic method, 318;

and morale, 346;

and Civilization, 352;

character of Nihilism, 357;

journalism, 360;

nebulous aim, 363, 364;

and socio-economic ethics, 372-374

Iconoclasts, Arabian principle, 262;

contemporaries, table i

Idea, and destiny, 121

Idolatry, Arabian iconoclasm, 262;

Classical attitude, 403

Iliad, spatial aspect, 198

Ilya Murometz, Russian saga, 201_n._

Image, cultural basis of idea, 216

Imagination, music as channel, 220

Imitation, qualities and aim, 191-194;

opposition to ornament, 194-196;

period in architecture, 197;

in music, 228.

_See also_ Ornament

Imperialism, negative character of Roman, 36;

and Civilization, 36;

Western destiny, 37, 38;

origin of Western, Napoleon’s relation, 148;

cultural attitude, 336;

cultural contemporaries, table iii

Impressionism, as space, 184;

beginning, 239;

Leonardo’s relation, 277;

full meaning, 285-287;

later _plein-air_, 288;

in Wagner’s music, 292

Improvisation, as manifestation, 195

Incident, world, 142;

and destiny, 138-144;

and cause, 142;

and style of existence, 142-147;

as basis of Western tragedy, 143;

historical use, 143.

_See also_ Destiny

India, Napoleon and, 150

Indian Culture, ahistorical basis, 11, 12, 133;

anonymous philosophy, 12;

mathematic, 84, 178;

sex attitude, 136;

attitude toward state, 137;

morale, passive, 315, 341, 347;

Buddhism and Civilization, 352;

spiritual epochs, table i.

_See also_ Buddhism; Cultures

Indo-Iranian art period, contemporaries, table ii

Infinity, and Classical mathematic, 69;

in Western Culture, 74-76, 81-84;

and new notation, 76-78;

limit as a relation, 86;

and Western science, 418, 427.

_See also_ Depth-experience; Space

Innocent III, pope, and Western morale, 348

Inquisition, and Western faith, 410

Integral calculus. _See_ Calculus

Intellect, and nature, 157. _See also_ Will

Intelligence, and atheism, 409

Interregnum, Germanic, period as episode, 149

Intuition, and learning, 55, 56

Ionic, and Doric, 205;

contemporaries, tables ii, iii.

_See also_ Architecture; Column

Irak, synagogue music, 228

Irrationalism, cultural attitude, 64-66, 68, 83

Isis, motherhood, 137;

cult, 406, 407

Islam, analogy to Mohammed, 39;

Mohammed as epoch, 149;

architectural expression, 208, 209, 211;

iconoclasm, 262;

and home, 335;

Mohammed’s unimposed mystic benefits, 344_n._;

Puritanism, 356;

Mohammed’s contemporaries, table i;

fatalism period, table i.

_See also_ Arabian Culture; Religion

Issus, battle, mosaic, 214

Italy, liberation as episode, 151;

and music, 230

I-Wang, contemporaries, table iii

Jacobins, and reason and will, 308

Jacopo della Quercia, and ornament, 238

Jahn, Friedrich L., and gymnastics, 35_n._

James, Henry, on ruins, 254_n._

Jansenism, and theoretical science, 66, 314_n._;

Puritanism, 356;

contemporaries, table i

Janus, materiality, 403

Japan, harakiri, 204_n._;

art and the nude, 262_n._

Jason of Pheræ, contemporaries, table iii

Jesuitism, and Baroque architecture, 313;

style in science, 412.

_See also_ Loyola

Jesus, as Son of Man, 309;

and Arabian morale, 344, 347;

unimposed glad tidings, 344_n._

_See also_ Christianity

Joachim of Floris, world-conception, 19, 229, 261;

and “passion”, 320_n._;

contemporaries, table i

John, Saint, and world-history, 18_n._;

dualism in Gospel, 306

Journalism, as phenomenon of Civilization, 360

Judaism, architectural expression, 209, 211_n._;

psalmody, 228;

Kabbala, dualism, 248, 307, 312;

and home 335.

_See also_ Arabian Culture

Judgment, and necessity, 393

Julius II, pope, Raphael’s portrait, 272

Juppiter Dolichenus, cult, 406_n._

Juppiter Feretrius, temple and oath, 406

Juppiter Optimus Maximus, cult, 406

Jurisprudence, esoteric Western, 328

Justinian, period of fulfilment, 107;

and Hagia Sophia, 130_n._

Justus van Gent, in Italy, 236

Kabbala, dualism, 248, 307

Kalaam, determinism, 307

Kant, Emmanuel, and space and time, 6_n._, 7, 64, 122, 124-126, 143,

169, 170, 173-175;

and history, 19;

provincialism, 23;

contemporaries, 27, table i;

final Western systematic philosophy, 45, 365-367;

as philosopher of Being, 49_n._;

and nature and mathematics, 57, 64, 68, 78, 366, 379;

_a priori_ error, 59;

mechanistic world-conception, 99;

and causality and destiny, 118-120, 151;

and the Almighty, 124;

and incident, 143;

as Goethe’s opposite, 159;

on knowledge of thought, 299;

egoism, 310, 335;

esoteric, 327;

and compassion, 350, 362;

and ethics, 354, 355;

and materialism, 368;

on judgment, 393;

on force, 413

Karlstadt, Andreas R., contemporaries, table i

Karma, Buddhist interpretation, 357

Karnak, contemporaries, table ii

Katharsis, Classical, 322, 347.

_See also_ Drama

Kelvin, Lord, and æther, 418

Kepler, Johan, mathematic and religion, 71, 330;

horoscope for Wallenstein, 147;

deeds of science, 355;

and mass, 415

Kirchhoff, Gustav R., on physics and motions, 388

Kishi, church architecture, 201_n._

Kismet, 129, 307.

_See also_ Destiny

Klein, Felix, and groups, 90

Kleist, Heinrich B. W. von, as dramatist, 290

Kleisthenes of Sikyon, tyranny, 33

Knowledge, comparative forms, 59, 60;

virtue and power, 362;

and feeling, 365;

as naming of numina, 397

Kriemhild, and Helen, 268

Krishna worship, and sex, 136_n._

Kwan-tsi, and actuality, 42

Lagrange, Comte, mathematic, 66, 78, 90;

on mechanics, 124;

and force, 417;

contemporaries, table i

La Hale, Adam de, operetta, 229

Landscape, as Chinese prime symbol, 174, 190, 196, 203;

horizon in painting, 239;

Western gardening, 240;

Baroque, as portrait 270_n._, 287;

_plein-air_, 288, 289;

and dramatic scene, 326

Lanfranc, controversy, 185

Langton, Stephen, as warrior, 349_n._

Language, of Culture, 55;

word and number, 57;

beginning of word-sense, 57;

paired root-words, 127;

personality-idea in Western, 262, 302, 309, 310, 413_n._;

as cultural function, 302_n._

_See also_ Names; Writing

Laocoön group, theatrical note, 291;

and Pre-Socratic philosophy, 305

Lao-tse, and imperialism, 37;

and actuality, 42.

Laplace, Marquis Pierre de, mathematic, 78, 90;

contemporaries, 112, table i;

and force, 413, 417

Lasso, Orlando, style, 230

Lateran Council, and Western Christianity, 247

Latin, as Stoic creation, 361

Lavoisier, Antoine L., chemistry, 384, 426

Law, and form, 97

League of Nations, Chinese ideas, 37

Learning, and intuition, 55, 56

Legends, contemporary, table i

Legnano, battle, a symbol, 349

Leibl, Wilhelm, significance of colour, 252;

portraiture, 266;

and body, 271;

and grand style, 289-291;

etching, 290;

striving, 292

Leibniz, Baron von, and actuality, 42;

mathematics, metaphysics, and religion, 56, 66, 70, 126, 366, 394;

relation to Classical mathematic, 69;

calculus, 75, 78, 82, 84, 90;

and vision, 105;

and Nicholas of Cusa, 236;

esoteric, 327;

and mystic philosophy, 365_n._;

monads as quanta of action, 385;

Democritus as contemporary, 386;

and force, 413, 415-417;

contemporaries, table i

Leipzig, battle, issue, 35

Lenbach, Franz von, copyist, 295

Le Nôtre, André, gardening, 240_n._, 241

Leo III, pope, and iconoclasm, 262

Leochares, contemporary mathematic, 90

Leonardo da Vinci, astronomical theory, 69;

spirituality, 128;

Dutch influence, 236;

and background, 237;

and impressionism, 239, 287;

and sculpture, 244;

colour, 246;

and body, 271;

and portrait, 272;

as dissatisfied thinker, 274;

discovery as basis of art, 277-279;

and circulation of the blood, 278;

and aviation, 279;

Western soul and technical limitation, 279-281;

and dynamics, 414

Lessing, Gotthold E., world-conception, 20;

and cultural contrasts, 128;

and Aristotle’s philanthropy, 351;

and cult and dogma, 411

Lessing, Karl F., colour, 252

Leucippus, atoms, 135, 385, 386

Li, contemporaries, table iii

Licinian Laws, myth, 11

Life, and soul and world, 54;

duration, specific time-value, 108;

duration applied to Culture, 109;

Classical Culture and duration, 132;

and willing, 315.

_See also_ Death

Light and shadow, cultural art attitude, 242_n._, 283, 325_n._

Light theories, electro-magnetic, 156_n._;

Newton’s, and Goethe’s theory of colour, 157_n._, 158_n._;

cultural basis, 381;

contradictory, 418

Limit, as a relation, 86

Linden, as symbol, 396

Lingam. _See_ Phallus

Lingayats, sect, 136_n._

Ling-yan-si, Saints, 260

Linois, Comte de, and India, 150_n._

Lippi, Filippino, Dutch influence, 236

Liszt, Franz, Catholicism, 268_n._;

contemporaries, table ii

Literature. _See_ Art; Drama; History; Poetry; writers by name,

especially Dante; Goethe; Ibsen

Livy, on strange gods, 405

Lochner, Stephen, God-feeling, 395

Locke, John, and imperialism, 150;

contemporaries, table i

Loggia dei Lanzi, artistic sentiment, 272

Logarithms, liberation, 88

Logic, organic and inorganic, 3, 117;

of time and space, 7;

and mathematics, convergence, 57, 427;

and morale, 354.

_See also_ Causality

Logicians, contemporaries, table i

Lokoyata, contemporaries, table i

London, culture city, 33

Loredano, doge, portrait, 272

Lorentz, Hendrik A., and Relativity, 419

Lorenzo de’ Medici, and music, 230

Lotze, Rudolf H., ethics, 367

Louis XIV, uncleanliness, 260;

contemporaries, table iii

Louisiana, Napoleon’s project, 150

Loyola, Ignatius, and style of the Church, 148;

architectural parallel, 314;

and Western morale, 348;

God-feeling, 394, 395;

and method, 412

Lucca, and Arabian Culture, 216

Lucian, and Philopatris dialogue, 404_n._

Lucullus, L., army, 36

Ludovisi Villa, garden, 240

Lully, Raymond, music, 283

Luther, Martin, and “know”, 123;

and destiny, 141;

as epoch, 149;

and works, 316_n._;

and Western morale, 348, 349, 355;

God-feeling, 394, 395;

contemporaries, table i

Luxor, contemporaries, table ii

Lycurgus, myth, 11

Lysander, deification, 405

Lysias, portrait, 270

Lysicrates, Monument of, acanthus motive, 215

Lysippus, contemporary mathematic, 90;

sculpture, 226, 260_n._;

period, 284;

canon, 287;

straining, 291;

irreligion, 358;

contemporaries, table ii

Lysistratus, and portraiture, 269

The decline of the West, Volume 1 · 第 21 / 22 章