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The decline of the West

Chapter 144: INDEX
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About This Book

The author develops a morphology of cultures that treats each as an organic whole moving through birth, creative flowering, and eventual decay. He distinguishes formative cultural periods—manifest in myths, artistic forms, religious feeling, and scientific outlooks—from later civilizational stages dominated by mechanization, bureaucratic organization, and money. Drawing comparisons among several historical cultural types, he identifies recurring rhythms and structural causes of cultural decline and argues that the modern West exhibits signs of a late civilizational phase.

INDEX

Prepared by David Μ. Matteson
  • Aachen Minster, and style, 200
  • Abaca, Evaristo F. dall’, sonatas, 283
  • Abel, Niels H., mathematic problem, 85
  • Absolutism, contemporary periods, table iii
  • Abydos, 58n.;
    • contemporaries, table ii
  • Abyssinia, cult-buildings, 209
  • Academy, contemporaries, table i
  • Acanthus motive, history, 215
  • Acheloüs, as god, 403
  • Achilles, archetype, 203, 402
  • Acre, battle, 150
  • Acropolis, contemporaries, table ii. See also Parthenon
  • Act, and portrait, 262, 266, 270
  • Action, in Western morale, 342
  • Actium, battle, 381
  • Activity, as Western trait, 315, 320;
  • Actuality, as test of philosophy, 41;
    • significance, 164
  • Adam de la Hale. See La Hale
  • Addison, Joseph, type, 254
  • Adolescence, initiation-rites as symbol, 174n.
  • Adrastos, cult, 33n.
  • Ægina temple, sculpture, 226, 244
  • Æschines, portrait statue, 270
  • Æschylus, tragic form and method, 129, 320, 321;
    • and architecture, 206;
    • and motherhood, 268;
    • and deity, 313;
    • morale, 355
  • Æsthetics, and genius in art, 128
  • Æther, contradictory theories, 418
  • Agamemnon, contemporaries, table iii
  • Aggregates, theory, 426
  • Aglaure, cult, 406
  • Ahmes, arithmetic, 58
  • Ahriman, Persian Devil, 312
  • Aim, and direction, 361;
    • nebulousness, 363
  • Aksakov, Sergei, and Europe, 16n.
  • Albani, Francesco, linear perspective, 240;
  • Albani villa, garden, 240
  • Albert of Saxony, Occamist, 381
  • Alberti, Leone B., gardening, 240
  • Alcamenes, contemporary mathematic, 78;
  • Alchemy, as symbol, 248;
    • as Arabian physics, 382, 383;
    • process of transmutation, 382n.;
    • and substance, 383;
    • and mechanical necessity, 393
  • Alcibiades, and Napoleon, 4;
    • and Classical morale, 351;
    • condemnation, 411
  • Alcman, music, 223
  • Alembert, Jean B. le R. d’, mathematic, 66, 78;
    • and time, 126;
    • mechanics and deism, 412
  • Alexander the Great, analogies, 4;
    • and Dionysus legend, 8;
    • romantic, 38;
    • and economic organization, 138;
    • expedition as episode, 147;
    • himself as epoch, 149;
    • as conqueror, 336;
    • morale, 349;
    • as paradox, 363;
    • deification, 405;
    • contemporaries, table iii
  • Alexander I of Russia, and Napoleon, 150
  • Alexandria, as a cultural left-over, 33, 73n., 79;
    • contemporaries, 112;
    • collections of University, 136n.;
    • as irreligious, 358
  • Alfarabi, and extension, 178;
    • and dualism, 306;
    • contemporaries, table i
  • Algebra, defined, significance of letter-notation, 71;
    • Diophantus and Arabian Culture, 71-73;
    • Western liberation, 86;
    • contemporaries, table i.
    • See also Mathematics
  • Algiers, origin of French war, 144n.
  • Alhambra, courtyard, 235
  • Alien, and “proper”, 53
  • Alkabi, and extension, 178
  • Alkarchi, contemporaries, table i
  • Al-Khwarizmi, mathematic, 72;
    • contemporaries, table i
  • Alkindi, and dualism, 307;
    • contemporaries, table i
  • Allegory, motive and word, 219n.
  • Almighty, philosophical attitude toward, 123. See also Religion
  • Alphabet, and historical consciousness, 12n. See also Language
  • Alsidzshi, mathematic, 72
  • Altar of the Unknown God, Paul’s error, 404
  • Amarna art, contemporaries, table ii
  • Ambrosian chants, and Jewish psalmody, 228
  • Amenemhet III, pyramid, 13;
  • Amida, and Arabian art, 209
  • Analogies, superficial and real historical, 4, 6, 27, 38, 39;
    • necessity of technique, 5
  • Analysis, and Classical mathematic, 69;
    • in Western mathematic, 74, 75;
    • inadequacy as term, 81;
    • and earlier mathematics, 84;
    • contemporaries, table i.
    • See also Mathematics
  • Anamnesis, and comprehension of depth, 174
  • Ananke, and Tyche, 146
  • Anarchism, basis, 367, 373
  • Anatomy, in Classical and Western art, 264;
    • Michelangelo and Leonardo, 277
  • Anaxagoras, and ego, 311;
    • on atoms, 386;
    • and mechanical necessity, 392, 394;
    • condemnation, 411
  • Anaximander, and chaos, 64;
    • popularity, 327
  • Ancestral worship, cultural basis, 134, 135n.
  • Ancient History, as term, 16
  • Anecdote, and Classical tragedy, 318;
  • Angelico, Fra, and the antique, 275
  • Anthesteria, 135n.
  • Antigone, and Kriemhild, 268
  • Antiphons, and Jewish psalmody, 228
  • Antisthenes, character of Nihilism, 357;
    • and diet, 361
  • Antonello da Messina, Dutch influence, 236
  • Apelles, contemporaries, table ii
  • Aphrodisias Temple in Caria, as pseudomorphic, 210
  • Aphrodite, as goddess, 268;
    • in Classical art, 268
  • Apocalypses, and world-history, 18n.;
    • contemporaries, table i
  • Apollinian soul, explained, 183. See also Classical Culture
  • Apollo Didymæus Temple, form-type, 204
  • Apollo of Tenea, contemporaries, table ii
  • Apollodorus of Athens, unpopularity, 35;
  • Apollodorus of Damascus, Roman architecture, 211
  • Apollonius Pergæus, and infinity, 69;
    • mathematic, 90
  • Appius Claudius, contemporaries, table iii
  • Arabesque, algebraic analogy, 72;
  • Arabian Culture, and polar idea of history, 18;
    • mathematic, significance of algebra, 63, 71-73;
    • expressions, 72;
    • and Late-Classical, 73, 209, 212, 214;
    • and Marycult, 137;
    • prime symbol, cavern, 174, 209, 215;
    • soul and dualism, 183, 305-307, 363;
    • “inside” architectural expression, 184, 199, 200, 224;
    • religious expression, 187, 188, 312, 401;
    • and Russian art, 201;
    • autumn of style, 207;
    • art as single phenomenon, 207-209;
    • art research, 209;
    • dome space-symbolism, 210-212;
    • ornamentation, 212;
    • fetters, 212;
    • emancipation, hurry, 213;
    • and mosaic, 214;
    • arch-column, 214;
    • Acanthus motive, 215;
    • and portraiture, 223, 262;
    • architecture in Italy, 235;
    • music, 228;
    • and Renaissance, 235;
    • gold as symbol, 247;
    • political concept, 335;
    • will-lessness, 309, 311;
    • art and spectator, 329;
    • and world-history, 363;
    • nature idea, chemistry, 382-384, 393;
    • religion in Late-Classical, 407;
    • spiritual epochs, table i;
    • art epochs, table ii
  • Arabian Nights, as symbol, 248
  • Arbela, battle, 151
  • Arcadians, provided history, 11
  • Arch, and column, 214, 236
  • Archæology, and historical repetition, 4;
  • Archery, Eastern and Western, 333n.
  • Archimedes, style, 59;
    • and infinity, 69;
    • mathematical limitation, 84, 90;
    • contemporaries, 112, 386;
    • and metaphysics, 366;
    • and motion, 377;
    • as creator, 425
  • Architecture, ahistoric symbolism of Classical, 9, 12n.;
  • Archytas, irrational numbers and fate, 65n.;
    • and higher powers, 66;
    • contemporaries, 78, 90, 112, table i;
    • and metaphysics, 366
  • Arezzo, school of art, 268
  • Aristarchus of Samos, and Eastern thought, 9;
    • and heliocentric system, 68, 69, 139
  • Aristogiton, statue, 269n.
  • Aristophanes, and burlesque, 30, 320n.
  • Aristotle, ahistoric consciousness, 9;
    • entelechy, 15;
    • contemporaries, 17, table i;
    • and philosophy of being, 49n.;
    • mechanistic world-conception, 99, 392;
    • and deity, 124, 313;
    • tabulation of categories, 125;
    • as collector, 136n.;
    • as Plato’s opposite, 159;
    • on tragedy, 203, 318, 320, 321, 351;
    • on body and soul, 259;
    • on Zeuxis, 284;
    • and inward life, 317;
    • and philanthropy, 351;
    • and Civilization, 352;
    • and diet, 361;
  • culmination of Classical philosophy, 365, 366;
    • and mathematics, 366;
    • on atoms, 386;
    • as atheist, 409;
    • condemnation, 411
  • Arithmetic, Kant’s error, 6n.;
  • Army, Roman notion, 335
  • Arnold of Villanova, and chemistry, 384n.
  • Art and arts, irrational polar idea, 20;
    • as sport, 35;
    • and future of Western Culture, 40;
    • as mathematical expression, 57, 58, 61, 62, 70;
    • Arabian, relation to algebra, 72;
    • and vision, 96;
    • causal and destiny sides, 127, 128;
    • Western, and “memory,” 132n.;
    • mortality, 167;
    • religious character of early periods, 185;
    • lack of early Chinese survivals, 190n.;
    • as expression-language, 191;
    • and witnesses, 191;
    • imitation and ornament, 191-194;
    • their opposition, becoming and become, 194-196;
    • typism, 193;
    • so-called, of Civilization, copyists, 197, 293-295;
    • meaning of style, 200, 201;
    • forms and cultural spirituality, 214-216;
    • as symbolic expression of Culture, 219, 259;
    • expression-methods of wordless, 219n.;
    • sense-impression and classification, 220, 221;
    • historical boundaries, organism, 221;
    • species within a Culture, no rebirths, 222-224;
    • early period architecture as mother, 224;
    • Western philosophical association, 229;
    • secularization of Western, 230;
    • dominance of Western music, 231;
    • outward forms and cultural meaning, 238;
    • and popularity, 242;
    • space and philosophy, 243;
    • cultural basis of composition, 243;
    • symptom of decline, striving, 291, 292;
    • trained instinct and minor artists, 292, 293;
    • cultural association with morale, 344;
    • contemporary cultural epochs, table ii.
    • See also Imitation; Ornament; Science; Style; arts by name
  • Aryan hero-tales, contemporaries, table i
  • Asklepios, as Christian title, 408n.
  • Astrology, cultural attitude, 132, 147
  • Astronomy, Classical Culture and, 9;
    • heliocentric system, 68, 139;
    • dimensional figures, 83;
    • cultural significance, 330-332
  • Ataraxia, Stoic ideal, 343, 347, 352, 361
  • Atheism, and “God”, 312n.;
    • as definite phenomenon, position, 408, 409;
    • cultural basis of structure, 409;
    • and toleration, 410, 411
  • Athene, as goddess, 268
  • Athens, and Paris, 27;
    • culture city, 32;
    • as religious, 358
  • Athtar, temples, 210
  • Atlantis, and voyages of Northmen, 332n.
  • Atmosphere, in painting, 287
  • Atomic theories, Boscovich’s, 314n.;
  • Augustan Age, Atticism, 28n.
  • Augustine, Saint, and time, 124, 140;
    • and Jesus, 347;
    • contemporaries, table i
  • Augustus, as epoch, 140;
  • Aurelian, favourite god, 406;
    • contemporaries, table iii
  • Avalon, and Valhalla, 401
  • Avesta. See Zend Avesta
  • Aviation, Leonardo’s interest, 279
  • Avicenna, on light, 381;
    • contemporaries, table i
  • Axum, empire, and world-history, 16, 208, 209n., 223
  • Baader, Franz X. von, and dualism, 307
  • Baal, shrines as basilicas, 209n.;
    • cults, 406, 407;
    • contemporaries, table i
  • Baalbek, basilica, 209n.;
    • Sun Temple as pseudomorphic, 210
  • Babylon, and time, 9, 15;
    • geographical science, 10;
    • place in history, 17;
    • autumnal city, 79
  • Baccio della Porta. See BartolommeoBartolommeo
  • 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;
  • Bacon, Francis, Shakespeare controversy, 135n.
  • 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, 228n., 230;
    • as stage of style, 202;
    • sculpture as allegory, 219n.;
    • 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;
  • Becoming, and history, 25, 94-98, 102, 103;
  • 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, 252n.;
    • music as confession, 264;
    • period, 284;
    • straining, 291;
    • contemporaries, table ii
  • Bell, as Western symbol, 134n.
  • 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, 78n.
  • 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, 107n., 206
  • Berry, Duke of, Books of Hours, 239
  • Beyle, Henri. See Stendhal
  • Bible, and periodic history, 18;
  • Biedermeyer, contemporaries, table ii
  • Binchois, Égide, music, 230
  • Binomial theorem, discovery, 75
  • Biography, and portraiture, 12;
  • Biology, and preordained life-duration, 108;
    • in politics, 156;
    • as weakest science, 157;
    • and Civilization, 360
  • Bismarck, Fürst von, wars and cultural rhythm, 110n.;
    • 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, 268n.
  • Body, as symbol of Classical Culture, 174;
  • Böcklin, Arnold, act and portrait, 271n.;
  • Boehme, Jakob, contemporaries, table i
  • Bogomils, iconoclasts, 383
  • Bohr, Niels, and mass, 385, 419
  • Boltzmann, Ludwig, on probability, 380n.
  • Boniface, Saint, as missionary, 360
  • Book, and cult-building, 197n.
  • 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, 314n., 415
  • Botticelli, Sandro, Dutch influence, 236;
  • Boucher, François, and body, 271
  • Boulle, André C., Chippendale’s ascendency, 150n.
  • 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, 252n.
  • 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;
  • 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;
  • 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;
  • Byzantium, tenement houses, 34n.
  • Cabeo, Nicolaus, theory of magnetism, 414
  • Caccias, character, 229
  • Cæsar, C. Julius, analogies, 4, 38;
    • and newspaper, 5;
    • and democracy, 5;
    • conquest of Gaul, 36n.;
    • 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 astronomyastronomy, 69;
    • limit-idea, 86;
    • Newtonian and Leibnizian, 126n.;
    • 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, 140n., 141;
    • and Western morale, 348;
    • variety of religion, 394;
    • contemporaries, table i
  • Can Grande, statue, 272
  • Cannæ, as climax, 36
  • Canning, George, and imperialism, 149n.
  • Cantata, and orchestra, 230
  • Canzoni, character, 229
  • Caracalla, and citizenship and army, 335, 407
  • Carcassonne, restoration, 254n.
  • 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, 10n., 333
  • Castle, and cathedral, 195, 229
  • Catacombs, art, 137n., 224
  • Categories, tabulation, 125
  • Catharine of Siena, Saint, and Gothic, 235
  • Cathedral, as ornament, 195;
  • 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;
  • 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, 156n.;
  • Cheops, dynasty, 58n.
  • Chephren, dynasty, 58n.;
  • Chian, contemporaries, table iii
  • Children, Western portraiture, 266-268. See also Motherland.
  • Chinese Culture, historic feeling, 14;
  • Chippendale, Thomas, position, 150n.
  • Chivalry, southern type, 233n.
  • 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, 22n.;
    • and poor Stoics, 33n.;
    • 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”, 320n.;
    • Eastern, and home, 335;
    • Western transformation of morale, 344, 347, 348;
    • and Buddhism, 357;
    • of Fathers and Crusades, 357n.;
    • missionarism, 360;
    • God-man problem as alchemistic, 383;
    • and mechanical necessity, miracles, 392, 393;
    • elements of Western, 399-401;
    • foreign gods as titles, 408n.
    • See also Religion
  • Chronology, relation of Classical Culture, 9, 10;
  • 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, 249n.;
    • 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;
  • and composition, 243;
  • 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, 15n.;
    • cultural attitude, 131, 134
  • Clouds, in paintings, 239
  • Cluniac reform, and architecture, 185
  • Clytæmnestra, and Helen, 268
  • Cnidian Aphrodite, 108, 268
  • Cnossos art, 224n., 293;
    • contemporaries, table ii
  • Cobbett, William, population theory, 185n.
  • 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, 157n., 158n.;
    • 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, 260n., 345;
  • 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, 202n., 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, 252n.;
    • Catholicism, 268n.
  • 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.
  • Counterpoint, and Gothic, 229;
  • Counter-Reformation, Michelangelo and spirit, 275
  • Couperin, François, pastoral music, 240;
    • colour expression, 252n.
  • 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, 130n., 269
  • Crete, inscriptions, 12n.;
    • Minoan art, 198
  • Cromwell, Oliver, and imperialism, 149;
    • contemporaries, table iii
  • Crusades, symbolism, 15n., 198;
    • and Trojan War, 27;
    • Christianity, 357n.;
    • contemporaries, table iii
  • Ctesiphon, school, 63
  • Cult and dogma, cultural attitudes, 401, 410, 411;
    • in natural science, 412
  • Cultures, Spengler’s morphological theory, xi;
  • 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
  • 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.
  • 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, 333n.
  • Edward III of England, and archery, 333n.
  • 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, 248n., 266;
    • and portrait, 262;
    • Civilization, 294, 295;
    • view of soul, 305;
    • morale, 315;
    • and discovery, 332;
    • and Socialism, 347;
    • and man-deification, 405n.;
    • 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, 305n., 388, 390
  • Elements, cultural concepts of physical, 383, 384. See also Atomic theories; Natural science
  • Eleusinian mysteries, dramatic imitation, 320
  • Elis, treaty, 10n.
  • 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, 310n.
  • 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, 316n.;
    • and tolerance, 343;
    • and cult and dogma, 411
  • Entelechy, ahistoric aspect, 15
  • Entropy, theory, formulations, 420;
  • 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.
  • Etching, Leonardo’s relation, 281;
    • as Western art, 290
  • Ethics, relation to Culture, 354;
  • Etruscan, round-buildings, 211n.;
    • 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, 176n.
    • See also Geometry
  • Eudoxus, and higher powers, 66;
  • 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, 16n.
  • 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;
  • 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.
  • Family, Western portraits, 266;
  • Faraday, Michael, and theory, 100, 378, 416
  • Farnese Bull, theatrical note, 291
  • Fate, cultural attitude, 129.
  • Faunus, materiality, 403
  • Faustian soul, explained, 183. See also Western Culture
  • Fauxbourdon, music, 229
  • Fayum, 58n.
  • 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, 271n.
  • 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;
  • Fluxions, significance of Newton’s designation, 15n.
  • Fontainebleau, park, 240
  • Force, as undefinable Western concept, numen, 390, 391, 398, 402, 412-417;
  • Forest, and Western cathedrals, 396
  • Form, and law, 97;
  • 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, 249n.;
    • 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”, 404n.
  • Frederick the Great, and analogy, 4;
    • on chance, 142n.;
    • 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;
  • 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, 86n.;
    • 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
  • Habit, applied to a Culture, 108
  • Hadrian, analogy, 4;
    • Pantheon as Arabian, 211
  • Hadrian’s Villa, type, 211n.
  • Haeckel, Ernst H., and Civilization, 252;
  • Hageladas, contemporaries, table ii
  • Hagia Sophia, period, 108;
    • miracle, 130n.;
    • character, 184, 200;
    • mosque as resumption, 211;
    • acanthus motive, 215
  • Halo, history, 130n.
  • Hals, Frans, musical expression, 250;
  • Hamadryads, materiality, 403
  • Han Dynasty, importance, 94;
    • contemporaries, table iii
  • Handel, George F., and dominance of music, 231;
  • Hannibal, contemporaries, 112, table iii;
    • historical position, 144;
    • ethical exception, 349
  • Happiness, and Classical ethic, 351
  • Harakiri, and Greek suicide, 204n.
  • Hardenberg, Karl A. von, reorganization of Prussia, 150n.
  • Harmodius, statue, 269n.
  • Haroun-al-Raschid, analogies, 38;
    • contemporaries, table ii
  • Hauran, basilica type, 210, 210n.
  • Haydn, Joseph, contemporary mathematic, 78, 90;
    • orchestration, 231;
    • colour expression, 252n.;
    • 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, 408n.
  • Hegel, Georg W. F., and history, 19, 22;
    • and mystic philosophy, 365n.;
    • 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, 147n., 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, 385n.;
    • Archimedes as contemporary, 386
  • Henry the Fowler, and Cyaxares, 4
  • Henry the Lion, morale, 349
  • Hera, Samian temple, 225n.
  • Heracles, Vatican torso, 255
  • Heracles legends, contemporaries, table i
  • Heraclitus, morale, 268n., 315, 343;
  • Heræa, treaty, 10n.
  • 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, 275n.
  • Hertz, Heinrich, and theory, 378;
  • Hesiod, contemporaries, table i
  • Hilda, Saint, passing-bell, 134n.
  • Hildesheim Cathedral, simplicity, 196;
  • Hipparchus, as scientist, 9, 330
  • Hippasus, irrational numbers and fate, 65n.
  • 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, 97n.;
    • 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, 12n.
  • Hobbema, Meyndert, colour, 246
  • Hobbes, Thomas, and actuality, 42
  • Hölderlin, Johann C. F., narrow Classicalism, 28n.;
    • autumnal accent, 241;
    • and confession, 264;
    • lyrics, 286;
    • and fatherland, 335
  • Hoffmann, Ernst T. A., “Johannes Kreisler”, 276n., 285
  • Hogarth, William, position, 150n., 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, 254n.
  • Home, significance of term, 33n.;
  • Homer, contemporaries, 27, table i;
  • Homology, historical application, 111, 112
  • Horace, and duration, 65n., 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
  • Kabbala, dualism, 248, 307
  • Kalaam, determinism, 307
  • Kant, Emmanuel, and space and time, 6n., 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, 49n.;
    • 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.
  • 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, 201n.
  • Kismet, 129, 307.
  • 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, 136n.
  • 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 270n., 287;
    • plein-air, 288, 289;
    • and dramatic scene, 326
  • Lanfranc, controversy, 185
  • Langton, Stephen, as warrior, 349n.
  • Language, of Culture, 55;
  • 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;
  • 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, 365n.;
    • 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, 240n., 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, 242n., 283, 325n.
  • Light theories, electro-magnetic, 156n.;
    • Newton’s, and Goethe’s theory of colour, 157n., 158n.;
    • cultural basis, 381;
    • contradictory, 418
  • Limit, as a relation, 86
  • Linden, as symbol, 396
  • Lingam. See Phallus
  • Lingayats, sect, 136n.
  • Ling-yan-si, Saints, 260
  • Linois, Comte de, and India, 150n.
  • Lippi, Filippino, Dutch influence, 236
  • Liszt, Franz, Catholicism, 268n.;
    • 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, 404n.
  • Lucullus, L., army, 36
  • Ludovisi Villa, garden, 240
  • Lully, Raymond, music, 283
  • Luther, Martin, and “know”, 123;
  • Luxor, contemporaries, table ii
  • Lycurgus, myth, 11
  • Lysander, deification, 405
  • Lysias, portrait, 270
  • Lysicrates, Monument of, acanthus motive, 215
  • Lysippus, contemporary mathematic, 90;
  • Lysistratus, and portraiture, 269
  • Machault, Guillaume de, and counterpoint, 229n.
  • Machiavellism, and mimicry, 371
  • Macpherson, James, autumnal accent, 241
  • Macrocosm, idea, 163-165;
  • Maderna, Stefano, sculpture, 244;
    • God-feeling, 395
  • Madonna, in Western art, 136, 267, 280.
  • Madrid, culture city, 32, 109
  • Madrigals, character, 229
  • Mæcenas, park, 34
  • Magdeburg Cathedral, Viking Gothic, 213
  • Magian soul, explained, 183. See also Arabian Culture
  • Magnetism, Cabeo’s theory, 414
  • Magnitude, emancipation of Western mathematic, 74-78;
    • and relations, 84, 86
  • Mahavansa, as historical work, 12
  • Mainz Cathedral, and styles, 205
  • Makart, Hans, copyist, 295
  • Malatestas, Hellenic sorriness, 273
  • Malthus, Thomas R., and Darwinism, 350, 369, 371
  • Manchester system, and Western Civilization, 151, 371;
    • and Darwinism, 369
  • Mandæans, as Arabian, 72;
    • music, 228;
    • contemporaries, table i
  • Manet, Édouard, unpopularity, 35;
    • and body, 271;
    • landscapes, 288;
    • plein-air painting, 288-290;
    • weak style, 291;
    • striving, 292;
    • and Wagner, 292;
    • irreligion, 358
  • Mani, and mystic benefits, 344n.;
    • and Jesus, 347;
    • contemporaries, table i
  • Manichæanism, as Arabian, 72;
    • architectural expression, 209, 211;
    • music, 228;
    • dualism, 306;
    • and home, 335
  • Mankind, as abstraction, 21, 46
  • Mantegna, Andrea, technique, 221, 239;
    • and colour, 242;
    • and portrait, 271;
    • and statics, 414
  • Marble, and later Western sculpture, 232, 276n.;
  • Marcellus II, pope, and Church music, 268n.
  • Marcion, and Jesus, 347;
    • contemporaries, table i
  • Marcus Aurelius, and monotheistic tendency, 407
  • Marées, Hans, significance of colour, 252;
  • Marenzio, Luca, music, 251
  • Marius, C., and economic motive, 36;
    • contemporaries, table iii
  • Mars Ultor, temple, ornament, 215
  • Marseillaise, morale, 355
  • Marsyas, Myron’s, lack of depth, 226
  • Marwitz, Friedrich A. L. von der, and Hardenberg, 150n.
  • Marx, Karl, and practical philosophy, 45;
    • and earlier and final Socialism, 138;
    • and superficially incidental, 144;
    • character of Nihilism, 352, 357;
    • and Hegelianism, 367;
    • socio-economic ethics, 372, 373;
    • contemporaries, table i
  • Mary-cult, as symbol, 136;
    • Madonna in Western art, 267, 280
  • Masaccio, and artistic change, 237, 279, 287
  • Mashetta, castle, façade, 215
  • Mask, and Classical drama, 316, 317n., 318, 323
  • ass, Western functional concept, 415;
    • effect of quantum theory, 419
  • Materialism, and Goethe’s living nature, 111n.;
    • Buddhism as, 356;
    • in Western ethics, 368;
    • and Socialism, 370
  • Mathematics, spatial concept, 6n., 7;
    • plurality, cultural basis, 15, 59-63, 67, 70, 101, 314;
    • position, 56;
    • and extension, 56;
    • and nature, 57;
    • wider-culture vision and analogy, 57, 58;
    • beginning of number-sense, 59;
    • as art, 61, 62, 70;
    • vision, 61;
    • of Classical Culture, positive, measurable numbers, 63-65, 69, 77;
    • and time and becoming, 64, 125, 126;
    • symbolism in Classical, 65-67, 70;
    • religious analogy, 66, 70, 394;
    • and empirical observation, 67;
    • character of Arabian, 71-73;
    • primitive levels, 73;
    • Western, and infinite functions, 74-76;
    • Western need of new notation, 76;
    • as expression of world-fear, 79-81;
    • and Western meaning of space, 81-84, 88;
    • and proportion and function, 84;
    • construction versus function, 85;
    • virtuosity, 85;
    • and physiognomic morphology, 85;
    • Western, and limit as a relation, 86;
    • Western abstraction, 86, 87;
    • Western conflict with perception limitations, 87, 170, 171;
    • culmination of Western, groups, 89, 90, 426;
    • paradigm of Classical and Western, 90;
    • and the how, what, and when, 126;
    • cultural relation to art, 129, 130;
    • Classical sculpture and Western music as, 284;
    • impressionism, 286;
    • vector and Baroque art, 311;
    • esoteric Western, 328;
    • and philosophy, 366;
    • replacement by economics, 367;
    • theory of aggregates, and logic, 426;
    • cultural contemporary epochs, table i.
    • See also Nature; Number; branches by name
  • Matter. See Body; Natural science
  • Matthew Passion. See Schütz, Heinrich
  • Maxwell-Hertz equations, 418
  • Maya Culture. See Mexican
  • Mayer, Julius Robert, and theory, 378;
  • Mazarin, Jules, Cardinal, morale, 349
  • Mazdaism, as Arabian, 209;
    • architectural expression, 211;
    • and pneuma, 216;
    • music, 228;
    • contemporaries, table i
  • Mazdak, contemporaries, table i
  • Meander, motive, 316, 345
  • Mechanics, and fourth dimension, 124.
  • Mediæval History, as term, 16, 22
  • Medicis, Hellenic sorriness, 273
  • Megalopolitanism, and Civilization of a Culture, 32-35, 38;
  • Melody, Classical and Western, 227
  • Memlinc, Hans, in Italy, 236;
    • and Renaissance, 274
  • Memory, conception, 103;
    • as organ of history, 132;
    • as term, 132
  • Mencius, practical philosophy, 45
  • Mendicant Orders, as exception, 348
  • Menes, contemporaries, table iii
  • Menzel, Adolf F. E., and body, 271;
    • impressionism, 286;
    • and grand style, 290, 291
  • Merovingian-Carolingian Era, contemporary art epochs, table ii
  • Mesopotamia, synagogues, 210
  • Messenians, provided history, 11
  • Metaphysics, and scientific research, 154;
  • Mexican (Maya) Culture, and historical scheme, 16, 18;
    • and time measurement, 134n.;
    • ornament, 196;
    • and tutelage, 213
  • Meyer, Eduard, on Spengler, x;
    • on Classical Culture and geography, 10n.
  • Meyerbeer, Giacomo, Rossini on Huguenots, 293
  • Michelangelo, liberation of architecture, beginning of Baroque, 87, 206, 225n., 313;
    • materiality, obsession by the architectural, 128;
    • St. Peter’s, 206, 238;
    • and passing of sculpture, 223, 244;
    • anticipations, 263;
    • and physiognomy of muscles, 264;
    • nude, and portrait, 272;
    • sonnets, 273;
    • as dissatisfied thinker, 274;
    • unsuccessful quest of the Classical, 275-277, 281;
    • and marble, 276;
    • architecture as final expression, 277;
    • and popularity, 327;
    • God-feeling, 395;
    • contemporaries, table ii
  • Michelozzo, Bartolommeo di, and Classical, 415
  • Michelson, Albert A., experiments, 419
  • Middle Kingdom, contemporaries, tables i-iii
  • Milesians, physical theory, 386
  • Miletus, form-type of Didymæum, 204;
    • and Egypt, 225
  • Milinda, King, and Nagasena, 356
  • Military art, Western, 333n.
  • Mill, John Stuart, and economic ascendency, 367, 373
  • Millennianism, as Western phenomenon, 363, 423
  • Mineralogy, and geology, 96
  • Minerva Medica, Syrian workmen, 211
  • Ming-Chu, contemporaries, table iii
  • Ming-ti, contemporaries, table iii
  • Minkowski, Hermann, imaginary time, 124n.;
    • and Relativity, 419
  • Minnesänger, rules, 193;
    • imitative music, 229
  • Mino da Fiesole, and portrait, 272
  • Minoan art, character, 198;
    • contemporaries, 241
  • Minstrels, imitative music, 229
  • Mirabeau, Comte de, and imperialism, 149;
    • contemporaries, table iii
  • Miracles, cultural attitude toward, 392, 393
  • Missionarism, Stoic, 344n.;
    • and diatribe, 360
  • Mithraists, and pneuma, 216;
    • form-language of mithræa, 224;
    • music, 228;
    • cult in Rome, 406, 406n.
  • Mitylene, episode and Classical time-sense, 133n.
  • Moab, Castle of Mashetta, 215
  • Modern History, as irrational term, 16-18
  • Mörike, Eduard, poetry, 289
  • Mohammed. See Islam
  • Moissac, church ornamentation, 199
  • Molière, tragic method, 318
  • Mommsen, Theodor, on Classical historians, 11;
    • narrow Classicalism, 28
  • Monasticism, and Western morale, 316n.;
    • order-movement, 343;
    • mendicant orders, 348
  • Money, Roman conception, 33;
    • as hall-mark of Civilization, 34-36
  • Monophysites, Islam as heir, 211;
    • as alchemistic problem, 383;
    • contemporaries, table i
  • Monteverde, Claudio, music, 226, 230, 249, 283
  • Morale, plurality, cultural basis, no conversions, 315, 345-347;
    • Western, and activity, 315;
    • and analysis, 341;
    • Western moral imperative, 341, 342;
    • intellectual and unconscious concepts, 341n.;
    • Western purposeful motion, ethic of deed, 342-344, 347;
    • Western Christian, 344, 348;
    • and art, 344;
    • morphology, 346;
    • compassion, cultural types of manly virtue, 347-351;
    • real and presumed, phrases and meanings, 348;
    • Classical, and happiness, 351;
    • instinctive and problematic, tragic and plebeian, 354, 355;
    • end phenomena, cultural basis, 356-359;
    • Civilization and diatribe, 359, 360;
    • and diet, 361;
    • qualities and aim of Socialism, 361-364;
    • and cultural atomic theories, 386.
    • See also Ethics; Spirit
  • Moravians, as exception, 348
  • Morphology, Spengler and historical, xi;
    • concept of historical, 5-8, 26, 39;
    • historical, and symbolism, 46;
    • historical, ignored, 47;
    • symmetry, 47;
    • historical and natural, 48;
    • historical, Western study of comparative, 50, 159;
    • comparative, knowledge forms, 60;
    • of mathematical operations, 85;
    • systematic and physiognomic, 100, 101, 121;
    • of world-history explained, 101;
    • of Cultures, 104;
    • historical homology, 111, 112;
    • element of causal and destiny, 121;
    • of morales, 346;
    • of history of philosophy, 364-374;
    • of exact sciences, 425
  • Mortality. See Death
  • Mosaic, as cultural expression, 214;
    • and Arabian gold background, 247;
    • eyes, 329;
    • contemporaries, table ii
  • Mosque, architectural characteristics, 200, 210;
    • contemporaries, table ii
  • Motherhood, cultural attitude, meaning, 136, 137;
    • and destiny, portraiture, 267
  • Mo-ti, practical philosophy, 45
  • Motion, and fourth dimension, 124;
  • Motion pictures, and Western character, 322
  • Mozart, Wolfgang Amadeus, contemporary mathematic, 78, 90;
    • period, 108, 284;
    • orchestration, 231;
    • colour expression, 252n.;
    • ease, 292;
    • contemporaries, table ii
  • Mummies, as symbol, 12, 13, 135
  • Murillo, Bartolomé, period, 283
  • Murtada, and will, 311
  • Museums, as historical symbols, 135;
    • change in meaning of word, 136
  • Music, thoroughbass and geometry, 61;
    • mathematical relation, 62, 63;
    • of Baroque period, 78;
    • and proportion and function, 84;
    • bodilessness of Western, development, 97, 177, 230, 231, 283;
    • history of instruments, 195;
    • Western church, as architectural ornament, 196, 199;
    • as art of form, 219, 221n.;
    • and allegory, 219n.;
    • as channel for imagination, 220;
    • Classical, 223, 227, 252n.;
    • form-ideal of Western, 225;
    • technical contrast of Classical and Western, 227n.;
    • word and organism, cultural basis, 227, 228;
    • Arabian, 228;
    • Chinese, 228;
    • imitation and ornament, 228;
    • ornamental and imitative Western, 229;
    • secularization, thoroughbass, 230;
    • of Renaissance, 234;
    • Flemish influence in Italy, 236;
    • and horizon in painting, 239;
    • pastoral, and gardening, 240;
    • esoteric Western, 243;
    • as Western prime phenomenon, 244, 281-284;
    • and Western painting, 250, 251;
    • instruments and colour expression, 252;
    • instrumental as historical expression, 255;
    • and uncleanliness, 260n.;
    • and portrait, 262, 266;
    • Catholic, 268n.;
    • Michelangelo’s tendency, 277;
    • Western, and Classical free sculpture, 283, 284;
    • climacteric instruments, 284;
    • and Rococo architecture, 285;
    • impressionism, 285, 286;
    • and later German school of painting, 289;
    • Wagner and death of Western, 291, 293;
    • his impressionism, 292;
    • and Western soul, 305;
    • and Western concept of God, 312;
    • and character, 314;
    • place of organ, 396;
    • Western contemporary natural science, 417;
    • contemporary cultural epochs, table ii.
    • See also Art
  • Muspilli, and Northern myths, 400, 423
  • Mutazilites, contemporaries, table i
  • Mycenæ, funeral customs, 135;
    • contemporaries, tables, ii, iii
  • Mycerinus, dynasty, 58n.
  • Myron, sculpture as planar art, 225, 226, 283;
  • Mysteries, Classical, 320. See also Religion
  • Mysticism, art association, 229;
    • and dualism, 307;
    • cultural culmination, 365n.;
    • and concept of force, 391;
    • contemporaries, table i
  • Myth, natural science as, 378, 387
  • Mythology, significance in Classical Culture, 10, 11, 13;
  • Nagasena, materialism, 356
  • Names, as overcoming fear, 123;
    • concretion of numina, 397
  • Napoleon I, analogies, 4, 5;
  • Napoleonic Wars, and cultural rhythm, 110n.
  • Nardini, Pietro, orchestration, 231
  • Natural science, mechanics and motion, cultural basis of postulate, 377, 378;
    • fact and theory, cultural images, 378-380;
    • Western, and depth-experience, tension, 380, 386, 387;
    • and religion, cultural basis, 380-382, 391, 411, 412, 416;
    • scientific period of a Culture, 381;
    • cultural relativity, 382;
    • cultural nature ideas and elements, 382-384;
    • statics, chemistry, dynamics, cultural systems, 384;
    • cultural atomic theories, 384-387;
    • thinking-motion problem, system and life, 387-389;
    • mechanical and organic necessity, 391;
    • cultural attitude on mechanical necessity, 392-394;
    • things and relations, 393;
    • conservation of energy and Western concept of experience, 393;
    • theory and religion, Western God-feeling, 395;
    • naming of notions, 397;
    • and atheism, 409;
    • Western dogma of undefinable force, provenance, stages, 412-417;
    • as to Western statics, 414, 415;
    • mass concept of Civilization, work-idea, 416, 417;
    • disintegration of exact, contradictions, 417-420;
    • physiognomic effect of irreversibility theory, 420-424;
    • effect of radioactivity, 423;
    • decay, 424;
    • morphology, convergence of separate sciences, 425-427;
    • anthropomorphic return, 427.
    • See also Nature
  • Natural selection, and Western ethics, Superman, 371. See also Darwinism
  • Naturalism, antiquity, 33, 207, 288;
  • Nature, contrast of historical morphology, 5, 7, 8;
  • Naucratis, and Miletus, 225n.
  • Naumann, Johann C., architecture, 285
  • Nazzâm, on body, 248;
    • contemporaries, table i
  • Necessity, mechanical and organic, 391
  • Nemesis, character of Classical, 129, 320. See also Destiny
  • Neo-Platonists, as Arabian, 72;
    • and pneuma, 216;
    • and body, 248;
    • dualism, 306;
    • unimposed mystic benefits, 344n.
  • Neo-Pythagoreans, and body, 248;
    • and mechanical necessity, 393
  • Nerva, forum, 198, 215
  • Nestorianism, and art, 209, 211;
    • music, 228;
    • and home, 334;
    • as alchemistic problem, 383;
    • contemporaries, table i
  • Neumann, Karl J., on Roman myths, 11
  • New York City, and megalopolitanism, 33
  • Newton, Sir Isaac, and “fluxions”, 15n.;
    • artist-nature, 61;
    • mathematic and religion, 70, 396, 412;
    • mathematical discoveries, 75, 78, 90;
    • and time and space, 124, 126;
    • light theory, and Goethe’s theory, 157n., 158n., 422;
    • dynamic world-picture, 311;
    • deeds of science, 355;
    • and motion-problem, 390, 391;
    • and metaphysics, 366;
    • and force and mass, 415, 417;
    • contemporaries, table i
  • Nibelungenlied, and Homer, 27;
    • esoteric, 328;
    • and Western Christianity, 400-402
  • Nicæa, Council of, and Godhead, 249
  • Nicephorus Phocas, and Philopatris dialogue, 404n.
  • Nicholas of Cusa, astronomical theory, 69;
    • religion and mathematic, 70;
    • musical association, 236;
    • contemporaries, table i
  • Nicholas of Oresme, and beginning of Western mathematic, 73, 74, 279;
    • art association, 229;
    • Occamist, 381
  • Niese, Benedictus, on Roman myths, 11
  • Nietzsche, Friedrich Wilhelm, influence on Spengler, xiv, 49n.;
    • provincialism, 24;
    • Classical ideology, 28, 28n.;
    • on city life, 30;
    • unpopularity, 35;
    • practical philosophy, 45;
    • and historical unity, 48;
    • and detachment, 93;
    • and Wagner, 111, 291, 370;
    • on history and definition, 158;
    • on art witnesses, 191;
    • autumnal accent, 241;
    • on Greeks and colour, 245;
    • on “brown” music, 252;
    • on Greeks and body, 260;
    • will and reason, 308;
    • and morale, 315, 342, 346;
    • and home, 335;
    • actuality of “Mann”, 347, 350;
    • and Civilization, 352;
    • character of Nihilism, 357;
    • and diet, 361;
    • nebulous aim, 363, 364;
    • and mystic philosophy, 365n.;
    • and mathematics, 366;
    • ethics and metaphysics, 367;
  • materialism, 368;
    • and evolution and Socialism, 370-372;
    • position in Western ethics, 373, 374;
    • on pathos of distance, 386;
    • dynamic atheism, 409;
    • contemporaries, table i
  • Niflheim, lack of materiality, 403
  • Nihilism, and finale of a Culture, 352;
    • cultural manifestations, 357
  • Nirvana, ahistoric expression, 11, 133;
  • Nisibis, and Arabian art, 209
  • Northmen, discoveries, 330
  • Norwich Cathedral, simplicity, 196
  • Notre-Dame, Madonna of the St. Anne, 263
  • Nude, in Classical art, necessity, 130, 260-262, 317;
    • cultural basis of feeling, 216, 270, 272;
    • as element of Classical Culture only, 225
  • Nürnberg, loss of prestige, 33;
    • church statuary, 103;
    • church and styles, 205;
    • as religious, 358
  • Numa, cult, 185;
    • contemporaries, table i
  • Number, chronological and mathematical, 6, 7, 70, 97;
    • defined, 67;
    • numbers and mortality, 70;
    • Arabian indeterminate, 72;
    • Western Culture and functional, 74, 75, 90;
    • Western attitude and notation, 76, 332n.;
    • symbolism, 82, 165;
    • astronomical, 83, 332n.;
    • cultural attitudes, 88;
    • and the become, 95;
    • and numbering, 125;
    • Indian conception, 178;
    • functional, and causality, 393.
    • See also Mathematics
  • Numina, naming, 397. See also Religion
  • Nyaya, contemporaries, table i
  • Oak, as symbol, 396
  • Occamists, physical theory, 381, 389
  • Odo, Bishop, as warrior, 349n.
  • Odysseus, as enduring, 203
  • Okeghem, Joannes, music, 130;
    • and popularity, 243
  • Oken, Lorenz, and dualism, 307
  • Old Kingdom, and care, 137;
    • contemporaries, tables ii, iii
  • Old Nordic art, as Arabian, 215
  • Oldach, Julius, act and portrait, 271n.
  • Omar, Mosque of, characteristics, 200n.
  • Ommayad period, homology, 111
  • Opera, and orchestra, 230
  • Oracle, Classical, 147
  • Oratorio, and orchestra, 230
  • Orchomenos, funeral customs, 135
  • Oreads, passivity, 336
  • Oresme. See Nicholas of Oresme
  • Organ, and Western devotions, 396
  • Origen, and dualism, 306;
    • morale, 348;
    • contemporaries, table i
  • Ormuzd, Persian God, 312
  • Ornament, qualities and aim, 191-194;
  • Orpheus, cult, 185;
    • as Christian title, 408n.;
    • contemporaries of discipline and movement, table i
  • Otto the Great, egoism, 336
  • Owen, Sir Richard, and morphology, 111
  • Pachelbel, Johann, organ works, 220
  • Pacher, Michael, colour, 250
  • Paderborn Cathedral, simplicity, 196
  • Pæonius, Nike, 263;
  • Pæstum, temple, 224, 235
  • Paewati worshippers, sect, 136n.
  • Painting, perspective and geometry, 61;
    • allegorical, 219n.;
    • and form-ideal of Classical sculpture and Western music, 226, 232;
    • word and organism, 227;
    • Flemish influence in Italy, 236;
    • Renaissance fresco to Venetian oil, line to space, 237, 279-281;
    • development of background in Western, 239;
    • form and content, outline and colour, 242;
    • cultural expression and popularity, 243;
    • oil, as Western prime phenomenon, period, 244, 281-283;
    • Classical and Western colours, 245-247;
    • outdoor and indoor, 247;
    • symbolism in brushwork, 249;
    • of Western Civilization, 251;
    • Baroque portraits, 265;
    • and destiny of Western art, 276n.;
    • Leonardo and discovery, spiritual space, 277-280;
    • Western studio-brown, pictorial chromatics, 250, 288;
    • Classical limitation, 283, 287;
    • full meaning of Impressionism, 285-287;
    • 19th Century episode, plein-air, 288;
    • German school and grand style, 289;
    • Baroque and concept of vector, 311;
    • and time of day, 325;
    • Western, and spectator, 329;
    • Western, and contemporary natural science, 417;
    • contemporary cultural epochs, table ii.
    • See also Art; Portraiture
  • Palazzo Farnese, style, 205;
    • Michelangelo’s cornice, 275
  • Palazzo Strozzi, style, 234;
    • and artistic sentiment, 272
  • Palermo, and Arabian Culture, 211, 216
  • Palestrina, Giovanni da, style, 220, 230, 323;
    • and popularity, 243;
    • Michelangelo’s heir, 274, 277;
    • God-feeling, 395
  • Palladio, Andrea, style, 30, 414
  • Palma, Jacopo, colour, 252
  • Palmyra, basilica, 209n.;
  • Pan, idea, 403
  • Panama Canal, Goethe’s prophecy, 42
  • “Panem et circenses”, as symbol, 362
  • Pantheon, as mosque, 72, 211
  • Paolo Veronese, clouds, 240;
  • Papacy, contemporaries, table iii
  • Paracelsus, Philippus, and chemistry, 384
  • Parallel axiom, 83, 88, 176n.
  • Paris, and Athens, 27;
    • culture city, 33;
    • autumnal city, 79;
    • Flemish influence, 236n.;
    • as irreligious, 358
  • Paris, Peace of (1763), and imperialism, 150
  • Park. See Gardening
  • Parmenides, civic world-outlook, 33;
    • thinking and being, 387
  • Parthenon, Three Fates as type, 268;
    • horse’s head, Rubens contrast, 271;
    • popularity, 327
  • Pascal, Blaise, and actuality, 42;
    • faith and experience, 66, 394;
    • mathematic, and Archimedes, 69, 75, 90, 126;
    • and predestination, 141;
    • and Jansenists, 314n.;
    • and Western morale, 348;
    • contemporaries, table i
  • Passion, in Christian cult, 320n.
  • Passivity, as Classical trait, 315, 320;
  • Past, and passing, 166
  • Pastels, and music, 232
  • Paterculus, C. Velleius, view of art, 205
  • Path. See Way
  • Pathos, and passion, 320n.
  • Patina, symbolism, 253
  • Patriotism, cultural concept, 334-337
  • Patristic literature, contemporaries, table i
  • Paul, Saint, and world-history, 18n.;
    • and dualism, 306;
    • and will, 344;
    • and diatribe, 360;
    • error on “Unknown God”, 404
  • Paulicians, and art, 209, 211;
    • iconoclasm, 262;
    • contemporaries, table i
  • Paulinzella Monastery, simplicity, 196;
  • Pausanias, culture, 254n.;
    • on altars to unknown gods, 404n.
  • Pazzi, chapel, 313
  • Peace, Classical and Western conception, 275n.
  • Peasant, as Culture relic, 354
  • Peloponnesian War, as epoch, 149
  • Pepi. See Phiops
  • Perception, and “alien”, 53;
  • Percival, archetype, 402
  • Pergamene art, modernity, 111;
    • composition, 244, 260;
    • gigantomachia, 291, 352;
    • actuality, 364;
    • contemporaries, table ii
  • Pericles, homology, 111;
  • Peripatos, contemporaries, table i
  • Persians, architectural expression, 209;
  • Perspective, Classical attitude, 109;
    • Western painting and gardening, 240-242;
    • as soul-expression, 310n.;
    • Western, and astronomy, 330
  • Perugino, technique, 249;
    • and portraiture, 272;
    • and artistic change, 279;
    • simplicity, 280
  • Pessimism, and Spengler’s theories, xiv, 40
  • Peter the Great, and Europe, 16n.
  • Peterborough Cathedral, simplicity, 196
  • Petra, Baal, 407
  • Petrarch, Francesco, analogy, 4;
    • historic consciousness, 14;
    • narrow Classicalism, 29, 275
  • Petrinism, Tolstoi’s connection, 309
  • Phallus, as symbol, cult, 136, 267, 320
  • Phidias, contemporary mathematic, 78, 90;
    • and portraiture, 130n.;
    • and soulless body, 225, 267;
    • popularity, 243;
    • and self-criticism, 264;
    • and marble, 276;
    • and Handel, 284;
    • period, 284;
    • as religious, 358;
    • contemporaries, table ii
  • Philanthropy, Aristotle’s, 351
  • Philippe de Vitry, and counterpoint, 229n.
  • Philo, and body, 248;
    • and Jesus, 347
  • Philopatris dialogue, source, 404n.
  • Philosopher’s Stone, as symbol, 248, 307
  • Philosophy, truth and individual attitude, xv;
    • natural and historical, 7, 8;
    • anonymous Indian, 12;
    • provincialism, 22, 23;
    • epochal limitations, cultural boundaries, 41, 46, 364, 367;
    • test of value, actuality, 41-43;
    • present-day Western, and cultural destiny, 43-45;
    • development of Western practical, 45;
    • scepticism as final Western, 45, 374;
    • of becoming and become, 49n.;
    • and mathematics, 56, 64, 366;
    • Kant’s postulates, 59;
    • comparative forms of knowledge, 60;
    • and names, 123;
    • scientific, of time, 124;
    • tabulation of categories, 125;
    • and death, 166;
    • Western art association, 229;
    • of Culture and Civilization, 354, 355;
    • cultural questions, early posing, 364;
    • course within each Culture, 364;
    • metaphysical and ethical periods, 365-367.
    • See also Ethics; Metaphysics; Spirit
  • Phiops, Western contemporary, 202n.;
  • Phlogiston theory, Stahl’s, 384
  • Phœnicians, and discovery, 65, 333
  • Phrynichus, fine, 321
  • Physics, cautious hypotheses, 156;
  • Physiognomy. See Destiny; Portraiture
  • Picturesqueness, and historical expression, 255
  • Piero della Francesca. See Francesca
  • Pigalle, Jean B., sculpture, 244
  • Pindar, as religious, 358
  • Pine, as symbol, 396
  • Piombo, Sebastiano del. See Sebastiano
  • Piræus, and unknown gods, 404
  • Pisano, Giovanni. See Giovanni
  • Pisistratidæ, as period of fulfilment, 107
  • Planck, Max, atomic theory, 385, 419
  • Plane, significance in Egyptian architecture, 189
  • Plastic. See Sculpture
  • Plato, ahistoric consciousness, 9, 14;
    • and clepsydra, 15;
    • provincialism, 22;
    • and actuality, 42;
    • philosopher of the becoming, 49n.;
    • metaphysics and mathematics, 56, 67, 69, 71, 84, 90, 366;
    • and the irrational, 66;
    • and Goethe’s “mothers”, 70;
    • and mechanistic world-conception, 99;
    • foreshadowing by, 111;
    • and the Almighty, 124;
    • Kant on, 125;
    • as Aristotle’s opposite, 159;
    • anamnesis, 174;
    • and idolatry 268n.;
    • on soul, 304, 305;
    • and ego, 311;
    • and ethics, 354;
    • and mystic philosophy, 365n.;
    • and science and religion, 394;
    • contemporaries, table i
  • Plein-air, as Civilization painting, 252;
    • characterized, 288
  • Pliny, on Mesopotamian temples, 210n.;
    • on Lysistratus, 269;
    • on Lysippus, 287;
    • as collector, 425
  • Plotinus, world, 56;
    • and philosophical transition, 72;
    • and vision, 96;
    • homology, 111;
    • and body, 248;
    • and dualism, 306;
    • and Jesus, 347;
    • and Arabian Culture, 383;
    • and mechanical necessity, 393;
    • contemporaries, table i
  • Plutarch, as biographer, 14, 316;
    • and dualism, 306
  • Pneuma, as Arabian principle, 216, 329;
  • Pöppelmann, Daniel, architecture, 285
  • Poetry, infinite space in Western, 185;
  • Poincaré, Henri, on mathematical vision, 61n.
  • Point, and Western geometry, 74, 82, 89
  • Point de vue, in Rococo parks, 240
  • Polar discovery, as symbol, 335
  • Polis, as Classical symbol, 83, 147, 334
  • Polish, as symbol in art, 248n.
  • Politics, inadequate basis for historical deductions, 46;
  • Pollaiuolo, Antonio, Dutch influence, 236;
    • goldsmith, 237
  • Polybius, ahistoric consciousness, 10
  • Polycletus, contemporary Western music, 27,112, 177, 284;
  • Polycrates, contemporaries, table iii
  • Polygnotus, contemporaries, 112, table ii;
  • Pombaditha, academy, 381
  • Pompeii, wall-paintings, 287
  • Pompey the Great, army, 36
  • Pope, Alexander, type, 254
  • Popularity, cultural basis, 85, 243, 326-328, 362;
    • in colour, 246
  • Porcelain, and Western music, 231
  • Porphyry, and “antique”, 20n.;
  • Port Royal, contemporaries, table i.
  • Porta, Baccio della. See Bartolommeo
  • Porta, Giacomo della. See Giacomo
  • Portinari altar, 236
  • Portraiture, and biography, 12;
  • Portuguese, and discovery, 333
  • Poseidon, temple of, as model, 224
  • Posidonius, and dualism, 306;
    • as collector, 425
  • Potsdam, architecture, 207
  • Poussin, Nicolas, musical analogy, 220;
  • Prag, loss of prestige, 33
  • Praxiteles, contemporary mathematic, 90;
  • Predestination. See Destiny
  • Present, and becoming, 54;
    • significance in Classical Culture, 63, 65-67
  • Pre-Socratics, philosophy, 41, 175, 305;
    • and mathematics, 366;
    • contemporaries, table i
  • Prime phenomena, Goethe’s living nature, vii, 95, 96, 105, 111n., 113, 140, 154, 389;
  • Principle, and causality, 121
  • Proclus, and Jesus, 347
  • Procopius, courtier, 207
  • Progress, as phenomenon of Civilization, 352, 361
  • Prohibition, and Civilization, 361
  • Proper, and alien, 53
  • Proportion, and function, 84
  • Propylæa, popularity, 327
  • Protagoras, conception of man, 311, 392;
    • popularity, 327;
    • and Classical morale, 351;
    • and Stoicism, 356;
    • problem, 365;
    • condemnation, 411
  • Protestantism, colour symbolism, 250;
  • Proud’hon, Pierre Joseph, position in Western ethics, 373
  • Providence, and destiny, 141
  • Provinces, defined, 33
  • Provincialism, philosophical and historical, 22-25
  • Prussia, great periods, 36;
    • English basis of reorganization, 150n.
  • Psalmody, Jewish, 228
  • Pseudomorphosis, Late-Classical style, 209-212, 214;
  • Psychologists, period, contemporaries, table i
  • Psychology, “scientific”, and soul, 299-303, 313;
    • as counter-physics, 301;
    • and will and soma, 319
  • Ptolemy II Philadelphus, and ruler-cult, 405
  • Ptolemy, L. Claudius, relation of Copernicus, 139n.;
    • as copyist, 425
  • Puget, Pierre, sculpture, 244
  • Punic Wars, as classic, 36;
    • and cultural rhythm, 110n.;
    • homology, 111;
    • intensity, 333
  • Purcell, Henry, pictorial music, 283
  • Pure reason, and destiny, 120
  • Puritanism, as common cultural feature, 112;
    • and destiny, 141;
    • and imperialism, 148;
    • cultural contemporary epochs, table i
  • Putto, as art motive, 266
  • Puvis de Chavannes, Pierre, and religious painting, 288n.
  • Pygmalion and Galatea, and marble, 276
  • Pyramids, period, 58n., 203
  • Pyrrho, contemporaries, table i
  • Pyrrhus, Roman war, 36
  • Pythagoras and Pythagoreans, analogy, 39;
    • and actuality, 42;
    • mathematical vision, 57, 58;
    • and Classical mathematic, 61, 62, 64;
    • new number, and fate, 65n., 82, 90;
    • mathematic and religion, 70, 394;
    • contemporaries, 112, table i;
    • and Copernicus, 330;
    • and mystic philosophy, 365n.;
    • and metaphysics, 366
  • Quadratures, and Archimedes’ method, 69
  • Quantum theory, effect, 419
  • Quattrocento, and Gothic, 221.
  • Quercia, Jacopo della. See Jacopo
  • Quesnay, François, economic theory, 417
  • Race-suicide, as phenomenon of Civilization, 359
  • Radioactivity, effect on natural science, 423
  • Ragnarök, Muspilli as contemporary, 400;
    • and world’s end, 400
  • Rameses II, analogy, 39;
    • and artistic impotence, 44, 294;
    • contemporaries, table iii
  • Ranke, Leopold von, and analogy, 4, 5;
    • and historical tact, 22;
    • on historical vision, 96
  • Raphael Sanzio, Madonnas, 136, 268, 280;
    • technique, 221, 278;
    • and Titian, 227;
    • and background, 237;
    • popularity, 243;
    • colour, 245;
    • and confession, 264;
    • and portrait, 272;
    • as dissatisfied thinker, 274;
    • and fresco and oil, line and space, 279, 280
  • Raskolnikov. See Dostoevsky
  • Rationalism, and chance, 142n.;
    • contemporaries of English, table i
  • Ravenna, and Arabian Culture, 206, 211, 216, 235;
  • Rayski, Louis F. von, art and portrait, 271n.
  • Reason, and will, 308
  • Red, symbolism, 246
  • Reformation, conflicts in Germany, 33;
    • and Dionysiac movement, 111;
    • as common cultural epoch, 112;
    • class-opposition to Renaissance, 229;
    • contemporaries, table i
  • Reims Cathedral, 224;
    • statuary, 267
  • Relations, and magnitudes, 84, 86
  • Relativity theory, and time, 124n.;
    • effect on natural science, 419;
    • domain, 426
  • Relief, Egyptian, 189, 202;
  • Religion, reality of Classical, 10, 11, 13;
    • relation of clock and bell, 15n., 134n.;
    • and number, 56;
    • mathematical cultural analogy, 66, 70;
    • stage in a Culture, 108, 399-402;
    • second period, sequel to Civilization, 108, 424-428;
    • Western, and “memory”, 132n.;
    • and death, 166;
    • birth of Western soul, 167;
    • and early art periods, 185;
    • cultural expression, 185-188, 399, 401;
    • Egyptian, 188;
    • Chinese, 190;
    • and imitation, 191;
    • architecture as ornament, 195;
    • Russian, 201n.;
    • Arabian architecture, 208;
    • Classical, and art, 268;
    • and plein-air painting, 288n.;
    • revelation and dualism, 307;
    • cultural soul-elements, and deities, 312;
    • and Classical drama, 320;
    • and astronomy, 330;
    • relation to Civilization, 358;
  • and hygiene, 361;
    • and philosophy, 365;
    • and natural science, 380-382, 391, 411, 416;
    • Western experience and faith, 394;
    • varieties, 394;
    • and theory, 395;
    • God-feelings, 395;
    • depth-experience in Western, cathedral, organ, 395-397;
    • naming of numina, 397;
    • Classical bodied pantheon, 398, 402;
    • Western deity as force, unitary-space symbol, 398, 403, 413;
    • of primitive folk, 399;
    • elements of Western, 399-401;
    • Classical, and strange gods, 404;
    • late Classical, dislocation and monotheism, Arabian ascendency, 406-408;
    • cult of deified men, 405, 407, 411;
    • atheism as phenomenon, 408-411;
    • cult and dogma, cultural attitude, 410, 411;
    • contemporary cultural epochs, table i.
    • See also Death; Soul; Spirit; creeds and sects by name
  • Rembrandt, portraiture, and confession, 101, 103, 130, 140, 264, 266, 269, 281, 300;
  • Renaissance, contemporaries, 27, table ii;
  • Renoir, Pierre A., striving, 292
  • Resaïna, academy, 381
  • Research, and vision, 95, 96, 102, 105, 142;
    • historical and scientific data, 154;
    • metaphysical, 163
  • Restorations, Western attitude toward, 254
  • Resurrection, change in meaning, 135n.
  • Rhine River, as historic, 254n.
  • Rhodes, Cecil, analogy, 4;
  • Rhodes, as “Venice of Antiquity”, 49;
    • and Helios, 402
  • Richelieu, Cardinal, morale, 349;
    • contemporaries, table iii
  • Riegl, Alois, on Arabian art, 208, 215
  • Riemann, Georg F. B., artist-nature, 61;
    • relation to Archimedes, 69;
    • religion and mathematic, 70;
    • notation, 77;
    • and boundlessness, 88;
    • mathematical position, 90;
    • goal of analysis, 418;
    • contemporaries, table i
  • Riemenschneider, Tilmann, and portraiture, 270
  • Robespierre, Maximilien, adventurer, 149;
    • contemporaries, table iii
  • Rococo, as stage of style, 202;
  • Rodin, Auguste, sculpture as painting, 244, 245
  • Rogier van der Weyden, in Italy, 236
  • Roman Catholicism, colour symbolism, 247-249;
  • Roman law, and cultural-language, 310n.
  • Romanesque, simplicity, 196;
  • Romanticism, defined, 197;
    • and mysticism, 365n.;
    • and mathematics, 366
  • Rome, city, megalopolitanism, 32, 34
  • Rome, empire, and Classical Culture, 8;
  • Rondanini Madonna, as music, 277
  • Rondeau, origin, 229
  • Roof, as Arabian expression, 210
  • Rore, Cyprian de, in Italy, 236;
  • Rossellino, Antonio, and portrait, 272
  • Rossini, Gioachino, Catholicism, 268n.;
    • on Meyerbeer, 293
  • Rottmann, Karl, and grand style, 289
  • Rousseau, Jean Jacques, and naturalism, 33, 207, 288;
    • and superficially incidental, 144;
    • and imperialism, 149, 150;
    • autumnal accent, 207;
    • and Civilization, 352;
    • contemporaries, 353n., table i;
    • and compassion, 362;
    • and Darwinism, 369;
    • intellect and wisdomwisdom, 409
  • Rubens, Peter Paul, colour, 253;
  • Ruins, as Western expression, 254
  • Ruler-cult, 405, 411
  • Runge, Otto P., and grand style, 289
  • Russia, and the West, 16n.;
    • stage of art, 201;
    • architecture, 211;
    • ignored art, 223;
    • will-less soul, 309;
    • culture and charity, 350
  • Rutherford, Sir Ernest, atoms as quanta of action, 385, 419
  • Ruysdael, Jakob, colour, 246;
  • Taboo, idea, 80;
  • Tacitus, Cornelius, ahistoric consciousness, 10, 11;
    • limited background, 132, 133
  • Talleyrand-Périgord, Charles de, on life before 1789, 207
  • Talmud, dualism, 306;
    • determinism, 307;
    • and nature, 393;
    • contemporaries, table i
  • Tanis, Hyksos Sphinx, 108, 262
  • Tanit, as deity, 406
  • Tao, principle, 14, 190, 203, 228;
  • Tarquins, myth, 11;
    • contemporaries, table iii
  • Tartessus, realm, 332n.
  • Tartini, GiuseppeGiuseppe, orchestration, 231;
  • Tasso, Torquato, and fixed scene, 325
  • Taygetus, Mount, Lycurgus as local god, 11
  • Technics, and future of Western Culture, 41, 44
  • Technique, and theory, 395
  • Teleology, as caricature, 120
  • Telephus Frieze. See Pergamene
  • Telescope, as Western symbol, 331
  • Tell-el-Amarna, art, 193n., 293
  • Tellez, Gabriel. See Tirso de Molina
  • Tellus Mater, materiality, 403
  • Temperature, and dynamics, 414
  • Templum, as cult-plan, 185
  • Tension, as Western principle, 386
  • Ten Thousand, expedition, as episode, 147, 336n.
  • Terpander, music, 223
  • Thales, and problem of knowing, 365, 381
  • Thalestas, music, 223
  • Thebes, autumnal city, 99
  • Themistocles, ahistoric consciousness, 9;
  • Theocritus, irreligion, 358
  • Theory, and fact, 378;
    • and religion, 395
  • Theosophy, conversion, 346
  • Theotokos, and Mary-cult, 137n., 267, 268
  • Theresa, Saint, and Western morale, 348
  • Thermodynamics, first law and energy, 413;
    • second law, entropy, 420
  • Theseus legends, contemporaries, table i
  • Thing-become. See Become
  • Thing-becoming. See Becoming
  • Thinite Period, contemporaries, tables ii, iii
  • Thinker, defined, xiii
  • Third Kingdom, as Western conception, 363;
    • and lie of life, 364
  • Thirty Years’ War, as epoch, 149
  • Thoma, Hans, painting, 289
  • Thomas Aquinas, influence of Joachim of Floris, 20;
    • and destiny, 141;
    • ethic, 309;
    • religion, 394;
    • contemporaries, table i
  • Thoroughbass, and geometry, 61;
  • Thorwaldsen, Albert, sculpture, 245
  • Thothmes, workshop, 193n.
  • Thucydides, ahistoric consciousness, 9;
  • Thunder-pattern, 196
  • Thuthmosis III, maturity of culture, 94;
    • contemporaries, table iii
  • Tiberius, as episode, 140;
    • contemporaries, table iii
  • Tiepolo, Giovanni Battista, painting, 283;
  • Time, and historical morphology, 6;
  • Time of day, cultural attitude, 324, 325
  • Tintoretto, background, 239
  • Tiresias, cult, 185
  • Tirso de Molina, and unities, 323
  • Tiryns, funeral customs, 135
  • Titian, period, 108;
    • technique, brushwork, 221, 249;
    • and Raphael, 227;
    • and colour, 242, 252;
    • and popularity, 243;
    • portraits as biography, 264;
    • and body, 271;
    • Baroque, 274;
    • impressionism, 286;
    • contemporaries, table ii
  • Title, symbolic importance, 408n.
  • Toleration, cultural attitude, 343, 404, 410, 411
  • Tolstoi, Leo, and Europe, 16n.;
    • provincialism, 24;
    • on notion of death, 166;
    • philosophy, 309
  • Totem, side of art, 128. See also Religion; Taboo
  • Tragedy. See Drama
  • Trajan, analogy, 39;
    • and Arabian art, 211;
    • forum, 215;
    • contemporaries, table iii
  • Transcendentalism, Western, 311
  • Transience, notion, 166
  • Trecento, so-called Renaissance, 233n.
  • Trent, Council of, Jesuit domination, 148;
    • and Western Christianity, 247;
    • and church music, 268n.;
    • and Western morale, 348
  • Trigonometry, contemporaries, table i. See also Mathematics
  • Trinity, as physical problem, 383
  • Trojan War, and Crusades, 10n., 27
  • Troubadours, imitative music, 229
  • Truth, relativity, cultural basis, xiii, 41, 46, 60, 146, 178-180, 304, 313, 345
  • Tscharvaka, contemporaries, table i
  • Tsin, contemporaries, 37, table iii
  • Turfan, Indian dramas, 295
  • Turgot, Anne R. J., economic theory, 417
  • Tuscany. See Florence; Renaissance
  • Tusculum, battle, 349n.
  • Twelfth Night, 325
  • Twilight of the Gods, Christian form, 400
  • Tyche, as deity, 146
  • Tzigane music, improvisation, 195
  • Uhde, Fritz K. H. von, and religious painting, 288n.
  • Ulm Minster, as model, 224
  • Unities, dramatic, Classical and Western attitude, 323
  • Universe, cultural attitude, 330-332
  • Upanishads, contemporaries, table i
  • Usefulness, cult, 155, 156
  • Uzzano bust, Donatello’s, 272
  • Vaishnavism, 136n.
  • Valcashika, contemporaries, table i
  • Valhalla, conception, 186, 187;
    • history, 400;
    • and unitary space, 403
  • Valkyries, and unitary space, 403
  • Valmy, battle, Goethe and significance, 149
  • Van Dyck, Anthony, musical expression, 250
  • Varangians, movement-stream, 333n.
  • Varro, M. Terentius, classification of gods, 11;
    • on religions, 394
  • Varyags, movement-stream, 333n.
  • Vasari, Giorgio, on imitation, 192
  • Vase-painting, Classical, and time of day, 226, 325;
    • Renaissance, 237
  • Vatican, Raphael’s frescoes, 237, 279;
  • Vaux-le-Vicomte, park, 241
  • Vector, concept and Baroque art, 311;
    • and motion, 314
  • Vedanta doctrine, 352, 355;
    • contemporaries, table i
  • Vedas, homology, 111;
    • contemporaries, table i
  • Vegetarianism, and Civilization, 361
  • Velasquez, Diego, musical expression, 250;
    • and body, 271;
    • period, 283;
    • as religious, 358
  • Venice, and Arabian Culture, 211, 216, 235;
  • Venus and Rome, temple, 211
  • Verlaine, Paul, autumnal accent, 241
  • Vermeer, Jan, technique, 221;
  • Veronese, Paolo. See Paolo
  • Verrocchio, Andrea, sculpture, Colleone statue, 235, 238, 272;
    • goldsmith, 237;
    • and portrait, 271;
    • anti-Gothic, 275n.
  • Versailles, park, 241
  • Vesta, materiality, 403
  • Viadana, Lodovico, music, 230
  • Vienna, master-builders, 207;
    • chamber music, 232
  • Vieta, François, significance of algebraic notation, 71
  • Vignola, Giacomo, architecture, liberation, 87, 313, 412
  • Village Sheikh, statue, 265
  • Violin, as Western symbol, 231, 252n.
  • Viollet-le-Duc, Eugene E., and restorations, 254n.
  • Virtue, cultural concepts of manly, 348. See also Truth
  • Vishnu, and Krishna, 136n.
  • Vision, and history and art, 95, 96, 102, 142
  • Vitruvius, and arch and column, 204
  • Völuspá, unitary space, 185. See also Eddas
  • Voltaire, contemporary mathematics, 66;
    • and imperialism, 150;
    • contemporaries, table i
  • Voluntas, meaning, 310n.
  • Vulturnus, materiality, 403
  • Yahweh, dualism, 312, 402
  • Yang-chu, practical philosophy, 45
  • Yellow, symbolism, 246
  • Yggdrasil, as symbol, 396
  • Yoga doctrine, 355;
    • contemporaries, table i
  • Youth, and future, 152