A posteriori, 36, 38, 44, 290, 314

A priori, 11, 12, 32-40, 44, 52-56, 62, 74-78, 84-89, 96, 99, 101-02, 105-10, 137, 147, 199, 205, 215, 245-48, 261, 266, 268, 273-75, 286-97, 301, 307-09, 312-21, 326, 347, 353, 355, 365, 386-87

A priori, synthetic, 2, 11, 37, 44n.,

Abelian functions, 367

Abstract entities, 24, 222-23, 230, 326, 335

Abstract impressions, 335-39

Abstract objects, 88, 175, 335-39

Abstracta, 71, 138, 338

Abstraction process, 6, 7, 15, 46, 70, 77, 85, 95, 106-07, 132, 142, 186, 197-98, 271-72, 313, 348n., 350, 352-53, 361-65

Abstractions, 15, 183, 234, 259, 301

Abstrusities, 10, 311, 319

Absurdity, 19, 61-62, 69, 74, 96, 103, 118-19, 199, 207, 215, 219, 225, 229, 231, 237, 243, 248, 254, 314, 330-32

Acts, 23, 39, 53, 56, 65, 83-84, 86, 89, 94-95, 102, 107-08, 200, 203, 255, 268, 281-82, 287-88, 311, 316, 326, 328, 340, 343, 349, 351, 354, 362, 387

Addition, 78, 98, 116, 118, 199

Adjectives, 228, 246-48

Aggregates, 86, 181, 196, 212-13, 215n., 317

Agnosticism, 301

Alchemists, 302, 307

Algebra, 13, 17, 52, 62-64, 68, 71-72, 74, 78, 101, 115n., 131-32, 246, 313, 346-47, 356n., 357, 359n.

Algebraists, 66, 74, 77, 87, 347, 359n.

Algorithms, 63-67, 69-70, 78

Alienation, 38n., 46, 54, 65, 73-75, 278n., 287, 345n., 347n. 348, 350n. 354, 356n., 357, 360-62, 365

Althoff, Friedrich, 374, 376, 394

Ambiguity, 86, 104, 122, 133, 139, 179, 187, 190, 202, 204, 208, 213, 230, 234-35, 237, 245, 254, 260, 317, 319, 387-88

Analogy, 41, 43-44, 47, 51, 53, 66, 77-78, 105, 183, 190, 197, 199, 209, 221-22, 247-48, 253, 260, 278, 337, 347, 364, 388

Analysis, mathematical, 2-3, 7-9, 202, 252, 256, 265-66, 268, 271, 277-78, 280-83, 354

Analytic logic, 11-12, 24, 84, 96, 105, 108-09, 313

Analytic propositions, 11, 14, 38, 81-85, 99

Analytic philosophy, XI, 2, 12, 81, 93, 110, 153, 188-90, 195, 212n., 231, 233, 238-39, 262, 299-300, 320, 328, 331-32

Analytic-synthetic distinction, 11, 81, 83, 137

Analyticity, 3, 11-13, 24, 40, 43, 57, 81-90, 102-05, 108-11, 133, 141, 203-04, 208, 215, 248, 249n., 313

Angles, 10, 33, 41, 71n., 84, 235, 294, 311

Anti-metaphysical animus, 300-02, 317-18

Anti-semitism, 377

Antinomies, 16-17, 172, 177, 189, 219, 237, 275, 305. See also Contradictions; Paradoxes.

Apodicticity, 12, 75, 84, 100, 216, 307, 338

Apollonius, 33, 77

Apophantics, 73, 121, 125, 130, 286, 291n.

Apostles, 377

Appearances, 35, 174, 176, 230, 231, 331, 351n., 393

Apples, 98, 314

Applicability, 3, 22, 24, 65n., 68n., 70, 73-77, 97, 195, 206, 321, 348n., 350, 352, 353n., 360, 362-63, 365, 386-87

Applied geometry, 37-39, 50-52

Applied mathematics, XII, 65n., 358, 363

Arbitrariness, 7, 19, 24, 41, 45, 50, 57, 65, 68, 78, 85, 86, 98, 101, 104, 107, 118, 120, 122, 126, 202, 209, 220, 256, 273, 317

Archimedean axiom, 48n.

Archimedes, 33, 359

Arguments, of a function, 55, 220, 227, 230, 232; 237, 253-57

Aristotle, 6, 31, 102-03, 303-04, 318, 320, 331, 333

Arithmetica universalis, 19, 68,

Arithmetics, 104, 209

Arithmetization, 2, 3, 7, 268

Arithmoi noetoi, 6, 304

Astrology, 302, 307

Astronomy,35, 180

Atemporality, 97, 312

Atheism, 369, 371

Atoms, 38n., 41n., 347, 352

Attributes, 224-25, 228, 237, 248, 271, 273-74, 318, 320, 329

Ausdehnungslehre, 346n., 347n.

Austerity, 4, 89, 306, 316, 387, 393

Austin, J. L., 223n.

Autograph collection, 154-55, 157-58, 161-62, 166

Avenarius, Richard, 371, 375, 386

Awkwardness, 221, 255, 308

Axiom of completeness, 48n., 109, 116-17, 130-31, 134, 138, 141-42, 145-46, 149

Axiom of reducibility, 184-185, 190, 236, 280

Axiomatic systems, 18, 21, 51, 52, 58, 67, 81, 88, 103-04, 109, 115-20, 123-25, 128-31, 133, 137-38, 141-42, 146, 162, 208-09, 216, 317, 356, 361

Axiomatization, 18, 23, 31, 33, 48, 50-52, 57, 85, 89, 93-94, 106-110, 140-42, 162, 167, 216, 316, 335, 346n.

Bachelard, Suzanne, 131n.

Bachmann, Friedrich, 160

Basic Law V, 158-64, 168, 172, 179, 185, 190, 210, 226-27, 231, 235-36, 256-57, 261

Barcan, Ruth. See Marcus, Ruth Barcan.

Bauch, Bruno, 166-67

Baudin, Abbé, 331n.

Baumann, Julius, 381-85

Beauty, 64, 269, 346n., 371, 389

Being, 9-10, 83-85, 97, 106, 265, 274-79, 290n., 293, 296, 306-11, 319-21, 327, 330-31, 340-43, 351n., 360n., 362

Benacerraf, Paul, 83

Bergson, Henri, 54n.

Berkeley, California, 45

Berkeley, George, 45, 72, 331,

Berlin, 2-5, 151, 166, 221, 255, 367, 369, 371-72, 379, 385, 388, 391, 394

Bernays, Paul, 165

Betweenness, 48, 51, 56, 58

Biemel, Walter, 348n.

Binocularity, 39n, 40

Biophysics, 350n.

Bivalence, 285-97. See also Law of Excluded Middle. Tertium non datur;

Blindness, 17, 62, 64, 191, 200, 211, 238, 312, 317, 354

Bodies, 32-46, 50, 53, 56-57, 291, 294, 326, 334, 350n., 351, 360-62

Bodies, rigid, 32, 34, 38n., 41-42, 45, 56-57

Bolyai, Janos, 34

Bolzano, Bernhard, 3, 9, 10, 81, 82, 84, 96, 244n., 300, 311, 387

Bombs, 155-56, 158, 160, 164, 166, 168, 243, 320

Boole, George, XIII, 63n.-64n., 68

Born, Max, 347

Boston Colloquium 1962, 187, 188n., 189n.

Bourbaki, Nicolas, 87-88, 117

Boyce Gibson, W. R., 326

Bracketing. See Epoché.

Bradley, F. H., 299

Braig, Carl, 371

Breeding, 222-23

Brentano, Franz, 3-9, 12, 13, 19, 63n., 81, 83, 84, 89, 93, 152, 197, 198, 200, 300, 306, 307, 310, 367, 369, 387

Brouwer, L. E. J., XII, 93-95, 97, 100, 106-08, 110, 281-83, 295, 272

Brunelleschi, Filippo, 77

Burge Tyler, 164,

Burgess, John, 189n.

Burke, Dr. Ruth Ellen, XIII, 368, 379

Busse, Ludwig, 375

Cabbalists, 302

Calculi, XIII, 63-64, 67-68, 70, 137, 185, 354

Calculi, extensional, 68, 187-88, 200, 318-19

Calculus, logical, XIII, 24, 63, 68-69, 100

Calculus of classes, XIII, 17, 63n., 68, 69, 115, 200, 212, 306

Calculus of variations, 4, 367

Cantor, Georg, XI, XII, 1, 3, 5-7, 9, 13, 15, 16, 81, 82, 86, 110, 151-52, 160-61, 196, 200-02, 209n., 210n., 213n., 299-300, 302-05, 310, 316-17, 321, 334, 336, 346, 367-78

Cantorian set theory, 18, 85, 160, 196, 281, 313

Caratheodory, Constantin, 392

Cardinality, 305

Carnap, Rudolf, XII, 165, 299

Carrots, 289

Carton, Sydney, 176-77

Cassirer, Ernst, 385, 391

Categorematic expressions, 219, 221, 222

Categorematic meanings, 222, 225

Categoricity, 70n., 358n.

Categories, 229, 245-46, 276, 296, 312, 320, 329

Catholicism, 368, 369, 373, 374, 377, 382

Cats, 15-16

Cauchy sequences, 73

Causality, 12, 84, 85, 307, 309, 312, 347, 350n., 361

Cephalomotor system, 39n.

Certainty, 3, 23, 82, 99, 293n., 314, 332, 353, 393

Chaos, 88, 245, 300

Chess, 20, 102, 165, 203, 205

Christ, Jesus, 300

Christianity, 302, 374

Church, Alonzo, 168, 295

Circles, 33, 49, 351, 359n.

Circles, square, 69n., 71n., 329

City, 88, 221, 255

Clarity, X, 13, 32, 83, 89, 95, 187, 191, 197, 206, 211, 306, 308, 313, 319, 360, 365, 387, 393

Class of all classes, 220, 235, 256, 261. See also Set of all sets.

Cohen, Hermann, 376

Cogitata, 201, 334, 341-42

Cohen, Paul J., 282

Collective combination, 95, 197, 198, 200

Color, 15, 43, 53, 85, 175, 224, 225, 231, 248, 272, 294

Columbus, Christopher, 174

Completeness, 18-22, 48n., 71-78, 103-04, 108-09, 115-34, 137-49, 208, 216, 275, 290n., 356-65. See also Definiteness.

Completeness, axiom of. See Axiom of completeness.

Completeness, ontological, 293-96

Completeness, semantic, 128, 131, 138, 141, 145n., 147

Completeness, syntactic, 115, 128, 131, 138-49, 358n.

Concatenation, 22, 86, 202, 317

Concept horse, 221, 248, 255

Concept words, 153, 164, 172, 205, 220, 223, 229-33, 235, 252-53, 255, 258

Conciergerie, 176-77, 180

Concreteness, 12, 22, 24, 85, 86, 95, 102, 175, 186, 197-98, 222, 225, 291, 294, 307, 316, 325, 331, 350n., 353, 361

Conflicts, 12, 69-70, 96, 127, 268, 285, 287-88, 295, 314, 361

Confusion, 12, 25, 96, 131, 138, 149, 153, 187, 189, 202, 211, 219, 229-30, 232-33, 235, 237, 243, 258, 266, 296, 300-01, 317, 339, 341, 358n.

Congruence, 41-44, 48-58, 69n., 274, 294

Conics, 77, 359n.

Consciousness, XII, 11, 12, 23, 38, 47, 52, 56, 97, 105-08, 139, 268-72, 279-82, 289, 297, 313, 327-31, 334-43, 348, 361n., 362, 363n.

Conservativeness, 71, 73

Consistency, 5, 19, 21, 31, 70-78, 87-88, 102, 108, 118-34, 138, 145, 186, 189, 201n., 204, 213-16, 237, 248, 312, 347n., 356, 363, 392-93

Constants, 122-25, 145n., 147, 148, 184

Constitution, XI, 25, 32, 38-45, 52-58, 63-64, 76, 105, 144, 148, 182, 266-72, 275-76, 279-81, 286-96, 329-30, 332, 335, 338-39, 341-42, 349, 361-65

Constructivism, 266, 272, 279, 281-83, 332

Contingency, 56, 83, 188, 375

Continuity, 8, 41, 48n., 83, 89, 304, 306, 319, 359n., 362

Continuum, 38, 41n., 47, 107, 198, 265-83, 334, 336

Continuum hypothesis, 336

Contradiction Burali-Forti's, 160

Contradictions, 14, 16-18, 20, 21, 69, 85, 87, 96, 99, 101-02, 104, 106, 108, 119, 126, 129, 131, 133, 140, 157-63, 166, 171-72, 179-84, 188-89, 196, 200-11, 213-16, 220, 227-28, 231-38, 243, 249-50, 258-61, 266, 273-74, 293, 301, 303, 305-06, 314-16, 321

Contradictions, thicket of, 15, 180, 210, 233, 258, 321

Contradictions-in-terms, 85, 96, 198, 208, 214-16, 314-16

Convenience, 34, 36, 53-54, 66, 88, 146, 153, 175, 183-84, 236, 260, 287, 318, 334, 358n., 359, 363-64

Conventionalism, 35, 45, 53, 270-71, 281, 333

Copernican Revolution, 329, 343

Copula, 224, 338

Corporeality, 282, 327

Correlates, 37, 39, 46, 48, 143-44, 148, 271, 276, 286, 327, 329-30, 334, 338, 340, 342, 346n., 358n.

Cosmos, 302

Counterfactuals, 319

Courses of values, 225-26,

Courtine, Jean-François, 201n., 242n.

Couturat, Louis, 152

Creation, 34, 70, 73-74, 230, 267, 287, 310, 329, 337-38, 346-47, 349, 359n., 387-88

Creativity, 5, 21, 69, 70, 87, 102, 109, 204, 353n., 385

Crisis, 74, 200, 301, 305, 318, 345-46

Crisis of meaning, 345-46

Critique of knowledge, 308

Critique of reason, 12, 105, 388

Crowe, Michael, 374n.

Crows, 369

Cults, 303

Curvature, 34-35, 38, 41-42, 44, 56

Damnation, 238

Danger, 81, 183, 281, 278n., 318, 354, 375, 380, 391

Darkness, creatures of, 89, 239, 318

Darmstaedter, Ludwig, 154

Darnay, Charles, 176-77, 181, 183

Darwinism, 369, 371

Dauben, Joseph, 304, 305

de Broglie, Louis, 347

de dicto, 337

de la Hire, Philippe, 359n.

de Muralt, André, 65n.

de re, 337

de St. Evrémonde, Marquis, 176-78, 181, 183

Death blow, 233, 258

Debye, Peter, 392

Decidability, 71n., 125-32, 141, 143, 216, 275, 287n., 289, 290n. 295, 359-60

Dedekind, Richard, 17, 22, 64n.

Dedekind cuts, 73

Deduction, 7, 21; 36, 67-69, 72n., 78, 86-87, 99-105, 115, 118, 148, 202-04, 207, 209, 232, 261, 314, 316, 360, 361n., 393

Deductive systems, 72, 86, 100, 102, 105, 202, 207, 316

Deep nature of things, 219-22, 227, 235-36, 245-46, 251, 255-57, 262

Defects, 11, 14, 83, 159, 167, 210, 236, 238

Definability, 95, 132-33, 139, 184, 267, 279, 281-82

Definite article, 173, 180, 182, 224, 226, 233

Definiteness, 71, 115-34, 137-49. See also Completeness.

Definiteness, absolute, 115, 129-34, 144

Definiteness, relative, 115-16, 125-34, 144

Degeneracy, 65, 347n., 350, 354, 391

Dehumanization, 55

Delgado, Monica, XIII

Demopoulos, William, 190, 238

Denotation, 20, 48, 61, 64-69, 122-26, 143, 145n., 148, 173, 180-82, 273-74, 291, 358

Denumerability, 282

Dependency, 40, 54, 102, 139, 219-39, 241-62, 268, 271-72, 281-82, 296, 329, 337-38, 342, 386

Dependent meanings, 219-39, 241-62

Derivability, 14, 115n., 124, 133, 140, 148, 207n., 210, 213, 216, 228, 231, 234, 250, 252, 259, 261-62

Derrida, Jacques, 290n.

Desargues, Girard, 77, 359n.

Descartes, René, 4, 331

Description, phenomenological, 267-69, 340

Description theory of names, 172, 181, 189

Descriptions, 122-23, 129, 132, 134, 175-76, 180-90, 226, 237, 248, 260-61, 278, 339

Descriptions, theory of definite, 181-83, 188, 190-91, 260

Descriptions, eliminative theory of, 172, 181, 189

Diagnosis, 345, 348

Diagonalization, 305

Dialogue, 328, 356

Dickens, Charles, 176

Dilthey, Wilhelm, XI

Dimensionality, 37-44, 50, 53, 57, 72, 75-76, 363

Dingler, Hugo, 156n.

Dirac, Paul, 347

Direct insight, 382, 392

Directions, 49-50, 55, 98, 175, 212

Dirichlet, Peter, 282, 390

Disaster, 82, 155, 319, 385, 392

Discontinuity, 41-42

Disgust, 6, 89, 301

Distances, 48-50, 57, 351, 362

Distortions, 45, 266

Divine Intellect, 6, 303

Dogmatism, 301, 387

Domain, apophantic, 25, 130, 286

Domain, natural, 119n., 356, 361

Domain, ontological, 122, 125-27, 130, 132, 291

Domains, 3, 11, 21, 24, 34, 38-39, 64-78, 84, 86, 101-04, 115-34, 137-49, 203-09, 249, 267, 269, 272, 274-81, 286, 288, 290-96, 327, 341, 346-49, 355-65

Domains, formal, 77n., 115-25, 128, 137-39, 142-49, 346, 356-58n.

Domains, objective, 70n., 131, 139, 147-48

Doubt, 6, 8, 13, 15, 31, 42n., 57, 83, 95, 106, 159, 163, 174, 182, 197, 199-200, 211-12, 225, 256, 261, 267, 286, 301, 306, 309, 319, 331-32, 361n., 368, 370, 379-81, 384

Drugs, 45, 176

Dualism, 301

Dummett, Michael, 18, 151-52, 157, 163, 168, 238, 285, 295, 331

Duty, 210n., 304, 319

Dynamics, 46, 62, 63n., 78, 117, 277, 289

Eden, 171, 318. See also Paradise.

Ego, XII, 40, 50, 57, 266, 268, 277-78, 286, 290, 295, 327, 329-32, 334-35, 360

Egyptians, 33

Eidetic, 11, 76, 324, 326, 349

Eidetikoi, 6, 82, 304

Eidos, 6, 267, 304

Einstein, Albert, 42n., 45, 54n., 363n.

Electromagnetism, 46, 364n.,

Electrons, 347

Elegance, 77, 296, 318-19, 346n., 359n.

Emery, Fr. Jacques-André, 373

Emotions, 89, 302

Empirical facts, 34, 35, 38, 88

Empirical persons, 84, 86, 89, 102, 108, 203, 316

Empirical psychology. See Psychology, empirical.

Empirical sciences, X, 12, 32, 84, 307, 309-10, 318, 360

Empiricism, 7, 12, 53, 81-84, 96, 296, 302, 306-07, 311, 314, 387

Emptiness, 12, 39, 48, 58, 69, 78, 85, 88, 102, 105, 107, 123, 142, 204, 220, 222, 230, 252-53, 260, 277-78, 301, 362

Encyclicals, 373, 377

Enemies, XII, 82, 176, 348n.

Energy, 206, 304, 347

Enigmas, 1, 296

Entailment, 214-15, 275, 312, 315, 319, 349

Epiphany, 294

Epistemology, XI, XII, 9, 12, 22, 23, 35-37, 47, 52, 62, 70, 74, 76, 78, 85, 89, 106, 115-17, 126-27, 133, 137, 147, 149, 172, 190, 265-66, 268, 270-72, 277-79, 282, 285, 287n., 289, 296, 309, 336, 340, 343, 348, 356-57, 359

Epoché, XII, 267, 260, 271, 326-31, 340-43

Equality, 33, 41, 46-50, 53, 63n., 69, 71n., 98, 130, 158-59, 164-65, 172, 174-80, 182, 185, 187, 191, 205, 212, 225-26, 232, 246, 256, 281, 294, 301, 303, 320, 330, 351n., 358, 385

Equations, 19, 20, 52, 71n., 72, 76, 103, 116, 119, 131, 205, 207, 220, 252, 285, 293, 295, 351, 353, 359, 364

Equivalence, 11, 34, 41, 68, 72, 104, 115n., 124, 129, 131, 138-45, 148, 175, 182-84, 187, 191, 208, 212, 279, 291, 335, 356, 358n.

Erdmann, Benno, 368, 370, 371

Error, 14-17, 82, 159-60, 185, 191, 200, 210, 229, 259, 262, 300, 359

Essence, laws of, 12, 56, 84, 96, 214, 245-46, 307, 309, 315

Essencelessness, 72

Essences, analyses of, 11, 83, 84, 96, 108, 215, 309, 313-17

Essences, 83, 84, 96, 105-06, 197, 213-16, 251, 267, 309, 314-18, 320, 326, 329, 343, 349, 361n., 392

Essentialism, 89, 187-89, 318, 320, 343

Esthetics, 287, 318, 346n., 376. See also Beauty.

Ethics, 105, 273, 318-19

Eucken, Rudolf, 376, 386

Euclid, 6, 31, 33, 48, 124, 304, 333 See also Geometry Euclidean; Geometry non-Euclidean.

Euclid's postulates, 31, 34, 41, 49

Evasion, 180, 234

Evening star, 162, 186

Evidence, 7, 11, 14, 24, 45, 75n., 82-83, 88, 96-99, 108, 116, 131, 146, 189, 210, 225, 256, 261, 282, 288-93, 314, 327-330, 336, 343, 348n., 361

Exact sciences, 25, 216, 348n., 387-88, 393

Exactness, 16-19, 25, 48, 63, 67, 83, 100-01, 108, 138, 154, 160, 171, 190, 197, 216, 227, 243, 257, 269, 301, 306-10, 348n., 349, 351-53, 362, 371, 386-93

Excluded middle, law of. See Law of excluded middle; Tertium non datur. Bivalence.

Exoticism, 37

Experience, 10, 22, 24-25, 35-58, 65, 81-84, 89, 94-99, 107, 110, 197, 206, 265-80, 285-96, 311, 314, 325-29, 332-40, 347-64, 387

Extensibility, 44, 130-31, 142, 145-46, 149

Extensional calculi. See Calculi, extensional.

Extensionality, 106, 110, 158, 162, 164, 180, 186-90, 228, 231, 235-38, 279-81. See also Principles of extensionality.

Extensions of concepts, 13-15, 68-69, 106, 159-64, 172, 178-85, 190, 195, 198, 205-06, 210-13, 216, 225, 227, 232, 236-38, 256, 258, 273, 346, 356, 360

Extraterrestrials, 44

Eyes, 16, 32, 40, 77, 167, 224, 305, 328, 340, 369

Fallacies, 185, 219, 228, 235, 237

Families, 156, 176, 222, 243, 281, 358n., 372, 390

Fantasy, 74

Fatal tendency, 153, 233, 255

Featherless biped, 182, 223

Fermat's conjecture, 335

Fichte, Johann Gottlieb, 55, 266, 268, 386-87, 393

Fiction, 36, 74, 182-83, 229, 234

Fig leaves, 318

Findlay, J.N., 243, 244n.

Finiteness, 5, 33, 39n., 41, 44, 50, 77, 104, 107, 124, 133-34, 139-43, 161, 199, 208, 210n., 275, 282, 361n.

First philosophy, 320, 349, 350

Fitch, Frederic, 186, 190

Flatness, 38, 39n., 41-44, 46, 53, 228, 230, 236,

Fluidity, 44

Føllesdal, Dagfinn, 93, 188, 189n., 319, 332, 337n.

Form, logical, 140, 147, 171, 188, 222, 312, 319, 354, 361

Formal systems, 19, 22, 24, 63, 70n., 73, 104, 115-19, 121-25, 128, 133, 137-38, 145-46, 190, 209, 216, 352n.

Formalism, XII, 18-20, 38n., 65, 73-75, 109, 115n., 117, 118n., 128, 133, 154, 165, 278n., 348, 350, 357, 362, 365

Formalization, 12, 20, 23, 24, 62, 68n., 100, 102-03, 105, 141-42, 147, 204, 206, 246, 280, 313, 346

Forms, theory of, 21, 72n., 73, 76, 86, 102-03, 142, 204, 208, 316

Forms, Platonic theory of. See Ideas, Platonic theory of.

Fractions, 8, 19, 104, 206, 209

Franzelin, Cardinal J-B., 373

Free mobility, principle of, 34

Freedom, X, 7, 10, 12, 17, 21, 23-24, 34, 35, 37, 39, 42, 45, 50, 53, 57-58, 70, 74, 82, 84, 87, 96, 101-05, 109, 122, 127-28, 131-32, 149, 167, 186, 203-09, 235, 246, 275, 279, 307, 329, 331, 337, 339, 343, 346-48, 353n., 354, 361, 389

Frege, Alfred, 154-56, 163

Frege, Gottlob, Basic Laws, 14, 15, 157-65, 171-72, 179, 189-90, 195, 210, 213, 225, 227, 250, 258, 261

Begriffsschrift, 153, 157, 162, 168, 171

Foundations of Arithmetic, 13-15, 18, 20, 159, 161-65, 172-73, 195, 210, 213n., 221, 223-25, 238

"Function and Concept", 164, 219, 222, 225-26, 229, 236, 241-42, 251-56, 261

"On Concept and Object", 161, 164, 219, 221-22, 225-26, 229, 236, 241, 247, 251-57, 261

"On Sense and Meaning", 164

"Review of Husserl", 14-16, 117, 195n., 211

Freiburg, 368-77, 394

Fries, Jakob Friedrich, 390

Friesian school, 392

FRQL, 89, 219, 222-23, 231, 235-39, 262

Fulfillment, 72, 244, 254, 272-78

Functions, 2, 9, 55, 122, 167, 179, 182-87, 219-22, 226-32, 236-37, 243, 250-61, 268, 279, 281-82, 319, 321, 351, 368

Furniture, ultimate, 317

Galileo Galilei, 349, 362n.

Games, XII, 74, 76, 102, 203. See also Chess.

Gaul, 173, 220, 252, 253

Gauss, Carl Friedrich, 33, 34, 305, 390

Genesis, XII, 1, 32, 57, 95, 117, 267, 295, 350, 353, 357, 361

Genetic analyses, 36, 117, 137, 361

Genetic phenomenology, 43, 361

Genetic progression, 38-39, 58

Genetic psychology, 36, 332

Geometrization, 2, 362

Geometry, 2, 3, 6-7, 12, 13, 19, 31-58, 63n., 64, 69n., 71n., 74, 76-77, 87, 98, 105, 138, 142, 153, 196, 201-02, 249, 267n., 268, 287, 294, 304, 312, 317, 331, 346, 347n., 351, 355, 357, 359n., 361-63, 390

Geometry, applied, 37,

Geometry, elliptic, 34

Geometry, Euclidean, 19, 31, 34-36, 39-44, 48, 50, 52, 55, 57-58, 64, 134, 287, 304, 355, 359n., 363

Geometry, foundations of, 153, 389

Geometry, hyperbolic, 34

Geometry, metric, 35

Geometry, non-Euclidean, 34-35, 43-44, 268, 287, 363

Geometry, physical, 32, 46-47, 51-53, 76, 347, 355, 357

Geometry of physical space, 32, 34, 39, 53

Ghosts, 72, 128

Gloves, 78

God, 6, 255, 304, 330, 369, 372, 377

Gödel, Kurt, XI, XII, XIII, 1, 22, 23, 110, 132, 172, 228, 325-43, 358n., 361

Gödel's Gibbs Lecture, 333

Gödel's incompleteness theorem, 22, 132, 228, 290n.

Goodness, 319

Goodrick-Clarke, Nicholas, 302

Goosens, Bernard, 201n., 242n.

Göttingen, 17, 18, 20, 48n., 61, 62n., 68, 70-73, 75, 108-09, 115, 117, 118n., 133, 138, 142-47, 151, 155, 162, 191, 201, 206, 209, 216, 265, 315, 356, 367, 372, 379, 381-83, 385, 388-94

Göttingen Mathematical Society, 20, 68, 191, 206

Göttingen talks, 70-73, 115n., 117, 133, 138, 143-47, 209, 356

Grammar, 21, 104, 208, 220-21, 230, 237, 242-47, 255, 258, 294-95, 321

Grammar, logical, 67n., 78, 148

Granel, Gérard, 345n.

Grass, blades of, 295

Grassmann, Hermann, 148, 346-47

Grattan-Guinness, Ivor, 157

Gravity, 96, 312, 314, 350

Greeks, 3, 31, 33, 71n., 74, 77, 384

Group theory, 358n.

Guillotine, 176-77, 180

Habilitation, 5, 13, 61, 201n., 305, 321, 367, 376, 380, 394

Hall, Harrison, 332

Halle, 1, 5, 6, 10, 16, 109, 151, 200, 305, 316, 367-78, 381

Hallucination, 45

Hamilton, William Rowan, 63, 346

Hardy, G. H., 160,

Harmony, 287n., 288, 295, 325

Harvard Yard, 295

Hasse, Helmut, 155n.

Heart and kidneys, 223

Heck, Richard, 173, 206, 223

Hegel, Georg F. W., 299-300, 386-87

Heidegger, Martin, XI, 299, 348n.

Heiner, Fr. F. X., 369, 371, 374-76

Helmholtz, Hermann von, 34-37, 42n., 43, 44n., 53-57, 386

Helmholtz-Lie theorem, 42

Henkin, Leon, 122n., 123

Hermite, Charles, 5, 6, 303

Heisenberg, Werner, 347

Hessenberg, Gerhard, 389

Heuristic, 52, 354, 364n.

Hierarchy, 222-23, 227, 229, 232, 235-36, 280, 338

Hilbert, David, XI, XII, XIII, 1, 3, 16-22, 48-52, 76, 87-88, 94, 108-10, 115-134, 138-49, 151-57, 162-68, 201n., 216, 231, 237, 277, 289, 304, 305, 315, 347n., 384-92, 394

Hilbert's circle, 18, 109, 118n., 162, 201n., 315

Hintikka, Jaakko, 188, 189n., 319

Hobgoblins, 307

Hodgepodge, 312

Hönigswald, Richard, 167

Hoffmann, Arthur, 166

Holism, 303

Homeomorphism, 43n.

Homo sapiens, 222-23

Homogeneity, 39n., 42n., 43, 55, 56

Horizons, 41, 61, 287, 290n., 361

How many?, 68, 75, 98-99, 106, 111, 116, 119

Human beings, 35, 100, 106, 132, 222-23, 226, 308, 320

Human spirit, 224, 225

Hume, David, 11, 83, 174, 176

Hume's principle, 174

Huntington, Edward, 154n., 161

Husserl, Edmund, Cartesian Meditations, X, 266n.

Experience and Judgment, X, 25, 276, 285-86, 296

Formal and Transcendental Logic, X, 11, 21, 23, 25, 96, 106, 108, 134, 197, 203, 211, 237, 274, 278, 286, 293-94, 305

Ideas I, X, 56, 103, 108, 115n., 116n., 130, 133, 138, 139-42, 144, 149, 203, 208, 265-66, 269, 276, 283, 326, 328, 330, 342n.

Logical Investigations, X, XII, 5, 10-11, 21, 32, 50, 61-62, 72-73, 78, 93, 103, 110, 118, 137, 143-49, 199, 201, 206, 208, 212, 244n., 259n., 265-66, 276, 286, 306, 385

"On the Concept of Number", 5, 7, 13, 62, 84, 95-96, 100, 107, 109, 116, 196, 197-99, 207n., 305

"The Origin of Geometry", 32, 296, 361n.

Philosophy of Arithmetic, 5-7, 8, 13-16, 20, 33, 61-66, 69-70, 78, 84, 86, 93-96, 100, 106-10, 115-17, 132, 149, 162, 195-99, 202, 206-07, 211-12, 305-06, 356-57, 375, 380-81

Prolegomena, XI, XII, 61, 71-73, 109, 118n., 202, 286, 382

"Review of Schröder", 17, 62-64, 68, 70-71, 115n., 200-01, 306

Thing and Space 1907, 32, 38n.

Husserl, Malvine, 305

Husserl Archives, X, XII, 94, 201n., 242n., 260n., 315

Hyletic data, 38n., 40, 331, 332, 338-39

Hypnotism, 107, 302

I. See Ego.

Ideal constructions, 33, 51

Ideal elements, 277, 281

Ideal entities, 84, 96, 100, 268, 286, 311, 335, 351

Ideal meanings, 97, 312

Ideal objects, 25, 268, 277, 280-82, 314

Idealism, 6, 9-11, 219, 300-03, 307, 310, 317, 320-21, 326-27, 330-32, 339, 341

Ideality, 25, 33, 37, 58, 83, 97, 311-12

Idealization, 36-39, 46-54, 58, 198, 274, 280, 286-89, 293, 347-53, 355-56, 359-65

Ideas, 6, 9-10, 12, 84, 214, 251, 303, 307, 310-11, 315, 318, 336-37, 351n., 352

Ideas, Platonic theory of, 10, 310

Ideas-in-themselves, 9, 10, 82

Identity, 14, 58, 67, 69, 70, 89, 101, 106, 110, 131, 153, 158, 162-65, 172-91, 205, 210-11, 223-26, 232, 261-62, 364n., 386

Identity of indiscernibles, 185, 189

Illusion, 9, 18, 45, 82, 151, 173, 221, 308, 313, 331

Imaginaries, 19-21, 51, 61-78, 103, 105, 109, 115-33, 137-38, 146-49, 195, 199, 206-09, 347, 354-60

Imagination, 3, 19, 39, 44n. 47-48, 65, 103, 141, 173, 207, 233, 252, 259, 330, 346, 364n.

Immanence, 11, 268, 279, 283, 313

Incompatibility, 273,

Incomplete meanings, 219

Incomplete symbols, 183-84, 230, 234, 241-62

Independence, 54, 76, 87, 102, 128-29, 139, 219-39, 241-62, 268, 271-72, 274-83, 286, 288, 292, 296, 303, 310, 319, 327-28, 332-39, 342, 346, 347n., 349, 353n., 361, 372, 385, 387, 393

Independence-friendly logic, 319

Indeterminate objects, 148,

Individuals, 21, 85, 185-86, 198, 222, 229, 234, 302

Induction, 36, 74, 75n., 97, 268, 272, 280-81, 314, 333

Infections, 181

Inference, modes of, 17, 231-33, 237

Inference, 17, 22, 67, 84, 100-01, 161, 171, 173, 176, 179, 187, 191, 201, 216, 225, 227, 231-33, 235, 237

Infinite, actual, 6, 34, 303, 373

Infinite regress, 271, 276

Infinitely distant points, 161

Infinitesimals, 74, 302, 359n.

Infinity, 9, 12, 19, 33-34, 41, 43- 44, 50-51, 53, 74-77, 87, 98, 105, 107, 124, 140, 142, 198-99, 205, 209, 268, 274-75, 280, 282, 290n., 293, 301, 303, 306, 359n., 362, 373

Inkfish, 107

Innateness, 40, 349

Inner architecture, 108

Inner voice, 304, 305

Integers, 76-78, 119, 131n., 267

Intellect, 303, 333

Intensional logics, 172, 185, 187, 189, 191, 262, 318

Intensionality, 106, 172, 185-89, 191, 236, 238, 262, 318

Intensions, 89, 106, 187, 191, 212, 237, 238, 262, 315, 318, 320

Intentional genesis, XII, 32, 361

Intentionality, XI-XII, 32-33, 38n., 53, 65, 78, 117, 139, 267-69, 272-79, 286-96, 327-40, 348-50, 354, 358n. 361-62, 365

Interconnections, 21, 86, 204, 316, 371

Intersubjectivity, 22, 266n., 334, 340-41, 363n.

Intuition, XII, 2, 4, 7, 13, 31, 36-40, 47-58, 67, 75-78, 82, 95, 97, 106-07, 132, 189, 198, 266-82, 291n., 326, 333-43, 346, 349, 355-58, 361, 364, 388

Intuition, conceptual, XII, 47, 75-77, 326, 342

Intuition, eidetic, 326, 349

Intuition, geometrical, 31, 38-39, 47, 50-53, 58

Intuition, mathematical, 333-40, 342, 346n., 356

Intuition, perceptual, 31, 39, 47, 51, 53, 55, 58, 361

Intuition, primordial, 94, 106, 107, 280

Intuition of essences, 267, 326, 343

Intuitionism, XI, XII, 59, 93-94, 97, 107-08, 270, 272, 276, 278, 283, 287, 289-90, 294

Intuitions of space, 2, 7, 13, 39- 40, 47, 52, 55-56, 58, 82

Intuitions of time, 2, 3, 7, 107

Intuitive experience, 270, 272, 274, 276, 279-80, 340

Invention, 34, 50, 75, 77, 82, 88, 139, 156n., 157, 165, 167, 235, 237, 311, 312, 346n., 354

Inversions, 78

Inviolability, 219, 221-22, 225, 235-36, 261-62

Irrationality, 270, 321, 386

Irreferentiality, 233

Islamic empire, 347

Isotropism, 43, 55, 56

Jeans, James, 364n.

Jewishness, 369n., 376-77

Jena, 151, 375

Joël, Karl, 386

Jones, E. E. Constance, 154n.

Jones, Henry, 300-01

Jordain, Pascual, 347

Jourdain, Philip, 154n., 156n., 159, 160, 166

Judaism, 377

Judgments, 11, 13, 37, 48, 67, 69, 82-83, 96, 121, 203, 268, 271-78, 285-95

Julius Caesar problem, 173, 190

Jungles, 89, 318-20

Jupiter, 174, 212, 224

Kahle, R., 201n.

Kanger, Stig, 188, 189n.

Kant, Immanuel, XII, 7, 11, 36-38, 44, 53-54, 78, 81-83, 107, 110, 268, 281, 299-301, 308, 336, 341, 390

Kantianism, 2, 7, 34, 54, 64, 81-83, 302, 308, 320, 330, 340-41, 375-76, 386

Kennedy, John F., 210-11

Kepler, Johannes, 74, 77, 359n.

Keys, 10, 21, 72, 103, 115, 118n., 126, 208, 234, 236, 238, 262, 299, 311

Killing, Wilhelm, 369

Kinesthetics, 38, 40, 287, 362

King of France, 183

Kinship, XII, 5, 18, 21, 88, 94, 108-09, 216

Klein, Felix, 20

Königsberger, Leo, 367

Kohn, Archbishop Theodor, 377

Korselt, Alwin, 161-66

Kreiser, Lothar, 152

Kripke, Saul, 181, 188, 189n., 191

Kronecker, Leopold, 3, 4, 74, 372

Külpe, Oswald, 369, 386

Kym, Andreas Ludwig, 376

Labyrinths, 88, 390

Lauer, Quentin, 342

Laundry lists, 152, 154

Law, Leibniz', 14, 175, 185, 189, 225

Law, unprovable, 256, 261. See also Basic Law V.

Law of Excluded Middle, 97, 101, 125, 134, 215, 251. See also Tertium non datur; Bivalence.

Laws, 11, 12, 14-15, 20-21, 36, 44n., 51, 56, 58, 63n.,70-71, 75, 83-87, 96-101, 106-07, 133-34, 149, 159, 161, 163, 175, 177, 181, 185-86, 189-90, 202, 204, 206, 214-16, 226-27; 245-51, 256, 261-62, 277, 290, 293-94, 304, 307-16, 352, 361n., 388

Laws, essential. See Essence, laws of.

Laws, logical, 11, 83, 97, 133-34, 161, 215, 226-27, 248-49, 251, 256, 261, 277

Laws, mathematical, 12, 84, 96, 214, 307, 315, 361n.

Laws, natural, 352, 388

Laws of meaning, 245-51

Lebenswelt, 54, 65, 286-87, 297, 345n., 350, 351n., 352n., 360n., 365

Leibniz, Gottfried, XII, 11, 14, 61, 62n., 64, 83, 175, 185, 189, 225, 325, 373

Lie, Sophus, 63, 346

Liebmann, Heinrich, 156n., 157n., 162, 232

Life-world, see Lebenswelt.

Light, 45, 57, 347, 363n.

Lindström, Sten, 189n.

Lines, straight, 31, 33-34, 41, 48-49, 56, 212, 351n.

Linke, Paul, 154n., 165

Lobachevski, Nicholas, 34

Logic, transcendental, X, 1, 11, 21, 23-25, 96, 106, 108, 134, 197, 203, 211, 237, 274, 278, 286, 293n., 294, 305

Lohmar, Dieter, 201n., 242n.

Lotze, Hermann, 10, 38, 95, 98, 300-01, 310-11, 375

Löwenheim, Leopold, 153-56, 165-66, 168

Löwenheim-Skolem theorem, 142

Luft, Sebastian, 201n., 242n.

Lüroth, Jacob, 367-70

Mach, Ernst, 386

Magic, 16, 302, 304

Manifold, spatial, 40, 44

Manifolds, 4, 6, 18, 21, 40-46, 50-57, 63, 70-74, 81, 85-89, 95, 98, 101-05, 109, 117, 118n., 120-22, 124, 127-29, 133, 138-49, 195-96, 201-04, 205n., 208, 212-16, 304, 313, 316-17, 346, 351, 353-56, 360-65. See also Mannifaltigkeiten.

Manifolds, theories of, 5, 6, 63, 72, 81, 86-87, 95, 102-05, 196, 201-05, 208-09, 215-16, 313-17, 354

Mannigfaltigkeiten, 5, 6, 117n., 196, 199, 201-06, 209, 215, 313-17, 362n., See also Manifolds.

Mannigfaltigkeitslehre, Cantor's, 5, 6, 196, 201-02, 209, 316-17

Mannigfaltigkeitslehre, Husserl's, 81, 86-87, 102-05, 196, 201-05, 208-09, 215-16, 313-17, 354

Marcus, Ruth Barcan, 185-91, 319-20

Marty, Anton, 156n., 157n., 244n., 369

Marx, Karl, 299

Material content, 42n., 70n., 72, 107, 346n., 357, 359, 363-64

Materialism, 247, 300-02

Mathematical attention, 106-07

Mathematics, applied, XII, 357n.

Mathematics, modern, 203, 313, 347, 349

Mathesis, 215, 352n.

Matters of fact, 11, 12, 43, 63, 81-85, 96, 99, 107, 265, 273, 288, 290, 293, 296, 307, 314, 393

Maximality, 117, 138, 142, 147, 149

Mc Guinness, Brian, 152-54

Meaning, shifts of, 215, 250, 316, 354-55, 359

Meaning, theory of, 1, 242, 248, 268, 273-276n.

Meaning, unity, 329, 334

Meaninglessness, XII, 20-21, 24, 64, 66, 70, 103-05, 119, 199, 208-09, 235, 242, 244-46, 251-54, 258-59, 273, 275, 327, 330, 358

Meanings, incomplete, 183-84, 219-221, 224, 230, 232, 234, 242-62

Meanings, independent, 219-39, 241-62

Meanings, realm of, 224, 229, 245-46, 248, 249n., 257-58

Meanings, science of, 246,

Measurement, 35, 41, 46, 51, 351

Mechanical procedures, 20, 23, 66, 102-03, 203, 206, 354n., 376, 390

Mechanics, 3, 98, 312, 346n., 347, 348n., 352

Mechanics, wave, 347

Medicine, 231, 318

Mereology, 47, 51

Metaphor, 72, 289, 291, 296, 329, 333, 334

Methodology, 35, 45, 54, 58, 71-75, 161, 191, 313, 340, 345, 349-50, 353, 356n., 359n., 364, 386-87, 391

Mice, 16

Mikton, 6, 304

Mind, 15, 43, 95, 100, 107, 132, 198, 310, 312, 326-27, 333, 338-39, 341, 386

Misch, Georg, 385

Misinterpretation, 9, 12, 96, 137

Mittag-Leffler, Gösta, 7, 304

Mittag-Leffler Institute, 157, 160

Modal logic, 171n.,172, 185-91, 262, 318-19

Modal logic, quantified, 185-89

Modalities, 187, 318

Model theory, 81, 87, 88, 129, 189

Models, 37, 39, 46, 79, 73-77, 81, 87-88, 122n.-23, 129, 131, 138, 141-42, 189, 346-47, 350-65

Modernity, 302, 345, 350

Mohanty, J. N., 93, 241

Molds, 21, 38, 40, 43, 45, 86, 102, 188, 204, 316, 319, 332

Moments, 10, 40, 94-95, 106, 272, 311

Monism, 300

Moons, 174, 212, 224, 255

Morass, 15, 210, 233, 259

Morning star, 186, 220

Morphology, 42, 46, 48, 269, 286, 291

Motion, 41n., 42, 56, 57, 363n.

Müller, Georg Elias, 379-82, 386

Multiplicities, 40, 43n., 72n., 95, 97-98, 107, 117, 119-20, 122, 124, 130, 196-97, 201n., 204, 215n., 313. See also Manifolds; Mannigfaltigkeiten.

Mystery, 77, 152, 234, 236, 260, 271, 301, 320

Mysticism, 302, 304, 307, 343, 386, 391

Myths, 89

Mythical entities, 10, 84, 311, 319

Naïvety, XIII, 10, 14, 32, 106, 211, 281, 301, 311, 330, 349, 352n., 353, 360

Names, 20, 95, 121-23, 147, 153, 164, 172, 174, 180-83, 186-90, 198, 205, 220-23, 226-35, 248-59, 273, 282, 321

National Endowment for the Humanities, XIII

Natorp, Paul, 375-76, 385

Naturalism, 9, 82, 296, 300, 302, 306, 319, 325, 334

Nature, 12, 25, 37, 46-47, 84, 296, 300, 307-09, 314, 327-28, 345-65

Nazism, 166, 302

Necessity, 7, 8, 14, 21, 24, 35, 37- 38, 41, 43, 44, 50-53, 55-58, 66, 75n., 78, 85, 97, 102, 104, 127, 130, 133, 137, 139-40, 144, 149, 173, 176, 181-85, 188-90, 196-99, 204, 208, 210-11, 222, 230, 236, 245-46, 254-55, 260-61, 267-69, 279, 291-96, 300-03, 309-10, 312, 334, 354, 365, 389, 392

Negation, 120, 125-29, 133, 140, 327

Nelson, Leonard, 386-88, 391-94

Neo-Brouwerians, XII

Neo-Kantianism, 341, 376

Neo-Platonism, 386, 391

Neurath, Otto, 239

Nietzsche, Friedrich, 299

Noemata, 93, 272, 279, 282, 332, 337

Noetics, 272, 280, 282, 286, 331, 332

Nominalism, XII, 281

Nomology, 134, 290n.

Non-existence, 31, 42n., 69, 96, 103, 105, 116, 195, 205-08

Nonsense, 14, 20-21, 75, 103-04, 178, 206, 209-13, 219, 225, 235, 237, 242, 245-46, 248, 339

Nothingness, 37

Noumena, 54, 340

Numbers, cardinal, 3, 8, 13, 20, 75, 85, 97-99, 102, 104, 161, 197, 199, 200n., 201n., 203, 207n., 209, 305-06, 313-14

Numbers, complex, 8, 66, 71-77, 116, 207n., 210n., 359n.

Numbers, imaginary. See Imaginaries.

Numbers, irrational, 19, 104, 166, 206, 209, 279, 281

Numbers, natural, 94, 97-98, 116-20, 132, 199, 267-69, 271-72, 274-76, 279-82, 335

Numbers, negative, 8, 19, 66, 104, 116, 118-20, 206, 207n., 359n.

Numbers, ordinal, 85, 97, 107, 207n., 313

Numbers, rational, 73, 131, 351

Numbers, real, 5, 6, 71-73, 109, 138, 141-42, 279-83, 304, 351, 362

Numbers, transfinite, 5-7, 304-05, 346

Numbers, whole, 2, 5-8, 20, 82, 104, 119, 207, 209-10, 303

Objectivities, higher-order, 271, 272, 277

Objects, concrete, 22, 175, 186, 291

Objects, formal, 73n., 116-17, 121-25, 130, 134, 139, 143-46, 346n., 359n.

Objects, higher-order, 86, 102, 203, 282

Objects, impossible, 19, 62n., 72, 74, 103, 105, 116, 195, 205-08, 254, 356

Objects, spatial, 31, 52, 105, 329

Objectuality, 68-69n., 72-76, 138-39, 271, 332, 346, 357

Obligation, 319

Occultism, 302, 304, 305, 307

Oculomotor system, 39n.

Odium, 9, 89, 306, 319, 320, 387

Ogden, C. K. 167

Olympus, Mount, 308

?-sequences, 76

One and one and one, 95, 98, 198

Ontology, 11, 50, 54, 71-75, 77n., 83, 85, 89, 105, 115-16, 121-22, 125-27, 130, 132, 147-49, 186-87, 245, 270-72, 275-81, 286, 291-96, 308-09, 313, 318-20, 331-32, 334, 339, 346, 347n., 357n.

Ontology, bizarre, 187

Ontology, formal, 50, 71-75, 77n., 85, 121-22, 125, 130, 132, 147-49, 278, 286, 346, 347n., 357n.

Ontology, idealistic, 89, 186, 318-19

Optics, 63n.

Optimism, 289, 336, 359

Origins, 8, 33-36, 39, 83, 107-08, 153, 158, 171-72, 179, 189, 195, 207, 286, 332, 341, 348

Osborn, Andrew, 2-4

Oswald, Lee Harvey, 210-11

Palmistry, 302

Paradise, 239, 259, 304, 305. See also Eden.

Paradox, Cantor's, 201n.

Paradox, Grelling's, 274

Paradox, "Russell's", 14-18, 106, 153, 157-65, 172, 179-80, 182, 201n., 206, 213, 227, 237, 241, 256-58

Paradox, Zermelo's, 17, 162-63, 201n., 213, 231

Paradoxes of set theory, 17-18, 153, 158, 162-63, 167-68, 172, 180, 190, 201, 214-15, 233, 241, 249-51, 257-62, 315-16, 321, See also Set of all sets; Russell's Paradox

Paradoxes of the infinite, 9

Parsons, Charles, 326, 336n., 337

Particulars, 231, 234-35

Pasch, Moritz, 48n., 154n., 101

Passivity, 38, 43, 54, 55, 58, 270, 272, 285, 297

Patterns, formal, 233, 312, 350n., 352, 364-65

Paulsen, Friedrich, 367

Peacefulness, 367, 369, 371

Peano, Giuseppe, 6, 152, 154, 156n., 160, 303

Peckaus, Volker, 201n.

Perception, 31, 34-48, 51, 54-58, 107, 198, 269-73, 283, 287, 314, 325, 328-29, 332-39, 343, 362-63, 365

Perception, doors of, 45

Pernet, Alain, 201n., 242n.

Perrone, Giovanni, 373

Pessimists, 300

Phenomenological method, 340-41

Phenomenological reduction, 326-34, 340, 343

Phenomenology, X, XI, XII, 1-3, 11, 12, 23, 25, 43, 56, 81-84, 93, 94, 96, 105-06, 110, 196, 265-79, 283, 300, 325-43, 345, 347, 349-50, 361, 365

Phenomenology, genetic, 43, 361

Phenomenology, transcendental, XI, XII, 23, 25, 105-06, 325-43, 349

Philipse, Herman, 332

Phrenology, 302

Physical organ, 325, 335, 338-39

Physics, 12, 29, 35, 38, 57, 74, 105, 268-69, 345-64, 391, 392, 393

Physics, mathematical, 12, 25, 105, 350, 352n., 354-58, 364n.

Physiology, 55, 350n.

Pilzecker, Alfons, 379

Planets, 186-87, 220

Plato, 6, 10, 31, 304, 325, 362, 390

Platonism, 1, 6, 9, 10, 11, 82, 281, 303-04, 307, 310, 326, 332-33, 336n., 349, 362

Playfair axiom, 34

Plotinus, 386

Poincaré, Henri, 35, 37, 45, 54, 132, 265, 268, 270

Poincaré's ball, 35

Politics, 318

Poncelet, Jean-Victor, 359n.

Pope, 373, 377, 382

Pope Leo XIII, 373, 377

Positivism, 37, 82, 301-02, 369, 375

Possible worlds logic, 188

Post-modernism, 348n.

Pragmatism, 74, 75, 236, 295

Pre-predicativity, 38, 276, 286, 297

Pre-science, 32, 37, 38n., 41, 43, 46, 47, 54

Predicaments, 221, 254-56

Predicates, 82, 86, 102, 173, 184, 203, 220-21, 225, 227-29, 232, 237, 243, 250, 253, 255, 257-58, 270, 273, 276, 291

Predication, 86, 102, 162, 165, 175, 203, 220-30, 235, 237, 248-49, 252, 254-55, 257-58, 276, 286-87, 291-92, 295, 297

Prejudices, XIII, 9, 128, 267, 318, 348n.

Presence and absence, 277-78

Present emperor of France, 249

Present king of England, 183

Present king of France, 183

Presentation. See Representation.

Presuppositions, 37, 53, 75, 140, 171, 189, 274, 279, 285-86, 288-89, 292-93, 296, 307, 310, 360-63n., 386

Prey, 107

Primitiveness, 3, 31, 49n., 99, 183, 186, 229, 244-46, 271-72, 281, 362n.

Principia Mathematica, 166, 181-86, 228, 236, 238, 299-300

Principle of complete induction, 272

Principle of comprehension, 281

Principle of continuity, 359n.

Principle of definition by recursion, 270, 272, 280

Principle of duality, 76n. 359n.

Principle of free-mobility, 34

Principle of non-contradiction, 87, 97, 101-02, 133

Principle of reasoning, 274

Principle of substitutivity of identicals, 14, 175, 211, 231-32

Principles of extensionality, 106, 110, 158, 186-87, 190, 228, 231, 235-38. See also Basic Law V.

Probabilities, calculus of, 367

Probability, 6, 18, 33, 44, 74, 96, 117, 142, 152, 154, 163, 166, 190, 238, 266, 268, 272, 277, 278, 304, 313-14, 319, 335, 339, 342, 354n., 367, 373, 381-82, 384, 389

Proclus, 31

Projective techniques, 51

Proper names, 20, 153, 164, 172, 174, 180, 182, 186-88, 205, 220-23, 226, 229-35, 252, 254-55, 258-59

Prophylaxes, 345, 348

Propositions-in-themselves, 10, 82, 84, 311

Protestantism, 368-69, 374-75

Pseudo-objects, 180, 233-34, 259

Psychologism, XI, XII, 1, 3, 7-8, 10-12, 23, 82-84, 95, 96, 109, 116-17, 137, 279, 302, 329, 333, 341, 380, 386-87, 391-93

Psychology, descriptive, 36, 327-29, 341

Psychology, empirical, 9, 19, 83, 89, 310

Psychology, experimental, 379, 385-86

Psychophysical functions, 36, 40, 41n., 43-44, 53-54, 287

Puppeteers, 357

Pure arithmetic, 12, 95, 96, 99, 105, 107-08, 310, 313

Pure geometry, 12, 32, 36, 38- 39, 46-47, 50-54, 105, 249n.

Pure logic, XII, 2, 10-12, 24, 25, 61, 82-87, 96-98, 102, 104, 118n., 127, 133, 139-40, 159, 161, 196, 202-03, 208, 248, 307, 311-14

Pure mathematics, XII, 12, 47, 50, 84, 94, 96-97, 107-08, 200, 261, 307, 313-14, 347

Pure reason, 301

Pure thought, 39

Puzzles, 1, 9, 120, 132, 142, 181, 187-89

Quantification, 132, 185-87, 189n., 191, 231-33, 275, 277, 282

Quantification, existential, 187, 231-32

Quantitative analyses, 103, 206

Quantity, 65, 71, 76, 100, 104, 116, 132, 196, 199, 209

Quantization, 347n.

Quantum theory, 347-48, 352, 363

Quaternions, 63, 74, 207n., 346

Quine, Willard, 81-82, 89, 106, 110, 185-91, 219, 238-39, 262, 285, 295-96, 299, 318-20,

Rabbit parts, 89

Racism, 377

Radicality, 1, 2, 3, 4, 7, 10, 17, 24, 45, 82, 108, 162, 223, 232, 234, 286, 306, 308, 329, 360n., 361n., 374, 376

Rationalism, 270, 336, 386

Ratisbonne, Fr. A-M., 377

Rawness, 38-40, 44, 53, 94, 350, 364-65

Real spaces, 33, 38, 43

Realism, XI, 1, 6, 37, 38, 261, 271, 295-96, 301, 303, 326-35, 341-42, 373

Reality, XIII, 6, 24, 32, 35, 37, 38n., 41, 43, 45-46, 54, 58, 84, 86, 88-89, 97, 102, 108, 188, 203, 268-70, 274, 285, 287-88, 294, 296, 301, 303-04, 308-10, 312-13, 316-18, 321, 328-33, 336, 338-39, 342, 347-53, 358, 362-64

Reality, absolute, 329-30

Reality, ultimate structure of, 89, 108, 188, 316-17

Reason, 2, 12, 23, 46, 48, 54, 55, 87, 103, 105, 205, 280, 301, 312, 320, 350n., 388

Rebellion, 229-30

Receptivity, 9, 285

Recipes, 182, 225, 282, 350, 355

Recursion, 116, 270, 272, 280

Reference, 20, 24, 71, 89, 103-06, 110, 127, 142, 145-48, 172-91, 195, 205-10, 223, 227, 233, 246, 248, 251, 253, 262, 270, 327, 331-32, 339

Reference, New Theory of, 172, 176, 188, 191

Reference, "Old" Theory of, 176, 181

Reference, "Very Old" Theory of, 176

Referential opacity, 187, 191

Reign of Terror, 176, 181

Relations of ideas, 11, 83, 99

Relativity, theory of, 187, 347, 363n.

Religion, 299, 302, 304, 319, 373, 375-77, 382

Representability, 291n., 292

Representation, 22, 61-62, 78, 248, 266, 289, 293, 312, 339, 357, 362

Representations, intuitive, 32, 35, 37, 41, 51, 54-57, 363

Representations Symbolic, 58, 62, 198, 266, 268, 357

Responsibility, 319, 349

Retinas, 40

Reversibility, 76n., 220, 232

Rickert, Heinrich, 369-71, 375, 386-87

Ricoeur, Paul, 329

Riddles, 77, 187, 189

Riehl, Alois, 368-71, 374-75

Riemann, Bernard, 34, 39, 50, 53-54, 57, 63, 76, 86, 148, 202, 317, 346, 363

Rigid bodies, 32, 34-36, 38n., 41-45, 48, 56-57

Rigid reference, 181, 185, 189-90

Rigor, XI, 2-9, 41, 67, 82, 99, 101, 154, 197, 204, 280, 302, 306-10, 314, 326, 343, 365, 382, 387-90, 393

Risk, XII, 38., 75, 106, 211, 354, 356n., 357n.

River stages and kinship, 89

Rohlfing, Dr. Helmut, XIII

Romanticism, 307, 308

Roots, 1, 2, 3, 7, 19, 39, 56, 78, 82, 89, 98, 184, 185, 238, 247, 254, 285, 296, 297, 300, 302, 345n., 350, 365, 389

Rosado Haddock, Guillermo, 93, 201n., 242

Roses, 255

Rosicrucians, 302, 369n.

Round squares, 249, 329, 331

Rules, 19, 20, 24, 62, 63, 66, 69, 70, 87, 101-04, 108, 118, 149, 183-84, 204-09, 214, 229-30, 232, 248, 261, 273, 280-81, 291, 293, 318, 347, 354, 356

Runge, Carl, 392

Russell, Bertrand, 1, 3, 15-18, 89, 93, 106, 110, 151-68, 172, 179-91, 195, 200-02, 205, 213, 219, 227-31, 234-37, 241, 249-50, 252, 256-57, 259-62, 265, 273, 280, 299, 305, 317, 321, 334-35

Russell's paradox. See Paradox, Russell's.

Safety, 41, 52, 73, 106, 145, 155, 211, 237, 340, 350, 357, 363

Sailors, 239, 318

Salva veritate, 82, 164

Sartre, Jean-Paul, 299

Schelling, Friedrich von, 386

Schirn, Matthias, 171

Schoen, Henri, 301-02

Scholasticism, 247, 262, 382

Scholz, Heinrich, 152, 155-67

Schönflies, Arthur, 160, 163-64

Schröder, Ernst, XIII, 17, 62n., 63, 64, 68-71, 115n., 152, 164, 200-01, 306

Science, exact, 25, 216, 348n., 387, 388, 393

Science, natural, 9, 11, 12, 37, 38, 83-85, 96, 105, 301, 302, 306-10, 314, 353n., 354, 360, 367, 376, 386-88

Science, physical, 54, 58, 333, 345, 350, 352

Science, theory of, 288, 313, 387

Sebestik, Jan, 131n.

Segments, 41n., 48-50, 175, 225

Self-subsistence, 172-174, 219, 223, 229

Semantics, 71n., 128,131, 138, 141, 145n., 147, 149, 238, 241, 257, 262, 291-92, 294-95, 358n.

Sensations, 43, 56, 85, 100, 270, 331-32, 336

Sense, 10, 14, 43, 61, 84, 89, 126, 191, 286, 318. See also Meaning.

Sense data, 38, 40, 44, 45, 56, 271, 330, 337, 350, 351n.

Sense giving (Sinngebung) 43, 277, 329, 331, 354

Sense impressions, 40, 44n., 335, 337

Senselessness, 125, 209, 221, 242, 254, 256, 294, 320, 328, 330. See also Meaninglessness.

Senses, 31, 35n., 39-43, 44n., 52-56, 82, 109, 276, 287, 303, 347, 349, 351, 353

Sensibility, 53, 74, 77, 351n., 362

Sensualism, 82, 302

Serpent. See Snakes.

Set essence, 214, 251, 315

Sets of all sets, 14, 200, 201n., 213-15, 227, 250, 305. See also Class of all classes.

Set theory, 5, 16-18, 82, 102, 110, 153, 158, 160, 162-63, 167-68, 180, 195-216, 228, 233, 242n., 249, 258, 261, 281-82, 299-300, 303-96, 313-17, 321, 336, 343

Sets, infinite, 19, 198-99, 280-82, 306

Sets, transfinite, 5, 304

Shells, 222, 230, 260

Shock, 15, 159, 163, 238, 256, 310

Siebeck, Hermann, 375

Signs, 19-20, 63, 67, 69, 78, 101-03, 108, 179, 191, 198, 203-07, 227, 229, 232, 244-45, 257, 272, 356n., 357, See also Symbols.

Simar, Bishop Hubert T., 373

Simmel, Georg, 386

Simons, Peter, 81, 244n., 259n.

Simplicity, 7, 34, 35, 45, 62, 72, 98-99, 175, 177-78, 183, 231, 233, 237, 242, 259, 276, 296, 303, 311, 315, 319, 338, 358

Sin, 187, 232, 325

Sixth sense, 338

Size and shape, 42, 46, 48

Skepticism, 82, 301, 302

Sluga, Hans, 18

Smith, Quentin, 188n., 189n.

Smullyan, Arthur, 186

Snakes, 107, 171

Soames, Scott, 188n., 189n., 190

Socrates, 228

Solipsism, 268, 271

Something in general, 85, 98

Somatomotor system, 39n.

Souls, 5, 108, 303, 304, 314

Soviet army, 156

Space Euclidean, 34, 39, 41n., 44n., 363

Space, intuitive, 37, 39, 45-47, 53, 55-58

Space perceptual, 46, 58, 362-63

Space, physical, 31-47, 50-58, 287, 325, 351, 362-63

Space real, 33, 38, 43

Space, sensorial, 287, 362

Space, transcendent, 32, 38, 39, 41, 43, 54

Space-constituting functions, 38n., 41, 44-45, 53-55

Space-representing functions, 53, 56

Spaces, mathematical, 50, 57, 58, 363

Species, 6, 10, 21, 198, 222-23, 303, 311-12

Speculative philosophy, 386-87

Speiser, Hans, 154n.

Spies, 176

Spirit, 5, 62, 63, 73, 225, 300-03, 349n., 350n.

Spiritism, 302, 307

Spitzer, Hugo, 371, 375

Square circle, 69n., 229

Stars, 162, 180, 186, 220, 221, 233

States of affairs, 147, 271, 273, 274n., 288, 294, 338

Sterility, 14, 34, 64, 73, 74, 178, 188, 210-11, 225, 313, 318, 387

Strangeness, 5, 7, 45, 94, 95, 229, 300, 310, 313, 321, 365

Structure, geometrical, 31, 36, 46-47, 51, 58

Structure spatial, 31, 35, 39, 50, 52

Structure of reality, 89, 108, 188, 316-18

Structures, 19, 22-25, 31, 35-36, 39, 42-52, 57-58, 64, 70-72, 76-81, 87-89, 102, 105, 108, 109n., 121, 131-33, 188, 209, 222, 225-38, 244-48, 269, 276n., 282, 297, 316-26, 334, 337-38, 346n., 355-58, 360, 363-64, 392

Structures perceptual, 47, 58

Stumpf, Carl, 5, 8, 13, 19, 62n., 103, 162, 207, 367, 386

Subjectivity, X, XII-XIII, 10, 22-25, 83, 245, 267-72, 279-82, 285, 288-97, 300, 326-36, 339-42, 360-61, 386, 393

Substantives, 165, 174, 224, 237

Substitution, 14, 69, 77, 99, 175-80, 184-90, 211, 212n., 226, 231-33, 262

Substrata, 107, 276, 294n.

Superstition, 100, 302, 307

Surfaces, 39n., 40, 41, 46-48, 175, 225

Survival of the fittest, 74

Syllogisms, 7, 13, 85-86, 94, 313

Symbolic reasoning, 32, 62, 63n., 67-68, 71, 132, 137-38, 146-47, 149, 278, 356n.

Symbols, 20-21, 23, 32, 47, 51-52, 58, 62-70, 73, 75, 78, 87, 103, 120-22, 126, 128, 130, 132, 145n., 146-48, 174, 179, 183-84, 204, 206, 228-35, 241, 243, 257, 259-62, 351n., 354, 356-58

Symptoms, 238, 274

Syncategorematic expressions, 241, 243-45, 247-48, 251

Syncategorematic meanings, 244, 247

Syntactic objectivities, 271, 276

Syntax, 71, 230, 247-48, 271, 276, 282, 291-95, 358n. See also Completeness, syntactic.

Synthetic a priori, 2, 11, 37, 44n., 82

Synthetic judgments, 2, 11, 81, 83

Systematic philosophy, X, 385, 392-94

Tannery, Paul, 303

Tarski, Alfred, 123, 363n.

Tartarus, 308

Technization, 65n., 74, 348, 354-55

Teleology, 73, 274

Temperature, 35, 351

Temptation, 43n., 93, 122n., 211, 212, 229, 304, 318, 337

Terms, singular, 165, 232-33

Terminology, 64-65, 73, 121, 196, 242, 244n., 279, 304, 355

Tertium non datur, 133, 273, 274-75, 277, 285-86, 287n., 295. See also Bivalence; Law of the excluded middle.

Thales' theorem, 41

Theologians, 371, 374

Theology, 5, 6, 303-04, 369, 371, 373, 374, 382

Theory of theories, 117n.

Theosophy, 302

Third realm, 333-34

Thomae, Carl Johannes, 165, 368

Thomas Aquinas, 373

Thomism, 373

Three-ity, 107

Triangles, 10, 41, 84, 212, 294, 311

Truth value, 232

Truths in themselves, 10, 289, 293-95, 310, 361n.

Tieszen, Richard, 93, 326

Time, 2, 7, 13, 54n., 57, 106-07, 265-69, 279-93, 309, 314, 325, 328, 343, 351, 363

Titans, 308

Titz, Marga, 160

Topology, 46, 48, 50

Torment, 95, 200, 301, 306, 313

Torsion, 41-44,

Totality, 6, 40, 44, 98, 104, 125, 130, 133, 139, 143, 196, 208, 212, 214-16, 235, 251, 272, 275, 295, 303-04, 315, 317, 331, 350n., 352

Touch, 35n., 38, 40, 362

Tractatus, 166-67

Transcendent reality, 35, 37, 39, 41n., 43, 293n., 339, 348

Transcendent space, 32, 38-39, 41, 43, 52, 54

Transcendental attitude, 327-30

Transcendental consciousness, 334-35, 337, 339

Transcendental constitution, 329

Transcendental ego, XII, 44, 290, 295, 327, 329, 334-35

Transcendental idealism, 37, 299, 271, 320, 330-32, 339, 341

Transcendental logic, 1, 24

Transcendental phenomenology. See Phenomenology, trans-cendental.

Transcendental reductions, 326-27, 330, 335, 348

Transcendental subjectivity, 44, 295, 326-27, 329-32, 340-42, 361n.

Transcendental turn, X

Transfinite realm, 5-7, 275, 303-05, 346, 373

Transparency, 7, 202, 326

Triangles, 10, 41, 84, 212, 294, 311

Truth, 4, 9, 10, 12, 19, 20, 24, 31, 37, 39, 47, 53-54, 58, 63, 65, 67n., 68, 70n., 73, 75, 81-84, 87, 95-97, 99-100, 102, 105-08, 119n., 133, 140, 148, 172, 175, 181, 189, 191, 204-05, 223, 225, 231-32, 237, 246, 248, 251, 253-54, 261, 270-80, 285-90, 293-95, 301, 310-14, 321, 337-39, 346n., 347, 349n., 355, 357-61, 365, 382, 386, 390-93

Truth, intrinsic, 274-75, 285, 289-90

Truth and falsehood, 20, 21, 96, 104, 125, 128, 131, 133, 140, 181, 185, 191, 208, 226, 248-49, 251, 253-54, 274, 285-89, 293-95, 312, 315, 335

Truth in itself, 10, 289, 292-95, 310, 361n.

Truth values, 20, 82, 232, 253-54, 274-75, 286-90

Two-ity, 94, 106-07

Two-oneness, 97, 107

Types, logical, 179, 221, 228-37, 247-48, 273, 282, 291-92

Types, theory of, 229, 235, 265

Unboundedness, 34, 41, 44, 53, 56

Uncertainty principle, 347

Unfilled, 220, 221, 243. See also Unsaturatedness.

Unity, 8, 65, 67, 77, 83, 89, 95, 97, 197, 200, 202, 214, 245, 271, 279, 281, 294-95, 303-06, 315, 319, 329, 334, 350n. 361, 377

Universals, 10, 84, 89, 231, 237, 261-62, 311, 313, 318, 321, 326

Unsaturatedness, 121-22, 220n., 243, 252-53, 258-59

Use and mention, 187

Vaccine, 76

Vacuousness, 74, 75

Vagueness, 13, 100, 142, 145n., 186, 269, 280-82, 301, 351n.

Validity, 10, 11, 13, 19, 21, 22, 34, 36, 42n., 51, 58, 63n., 69, 84-87, 97, 99, 102-04, 119, 124-25, 130-34, 148, 171, 179, 186, 200-09, 215-16, 227, 232, 236, 249-51, 266-67, 271, 274-75, 277, 281, 285-90, 291n., 294-96, 306, 311-12, 314, 327, 329, 343, 348, 352n., 360, 361n., 386-88

Values, 34-35, 41, 56, 122, 182, 184-87, 226, 228, 233, 236, 253-54, 256, 351

Values, courses of, 158-59, 179, 226, 351

van Atten, Mark, 93

Variables, 85, 121-22, 126-27, 129-30, 145n.-46, 148, 181-82, 184, 186-87, 233, 247, 275

Vector analysis, 346n., 347n.

Vectors, 359

Velocity, 347, 363n.

Vengeance, 191, 301

Venn, John, 64n.

Venus, 162, 186, 221, 253

Veraart, Albert, 156n., 164-67

Verifiability, 42, 58, 103, 132, 285, 289, 206, 132, 285, 290-96

Vérités de fait, 11

Vérités de raison, 11

Veronese, Giuseppe, 303, 368

Vesuvius, 221, 255

Vicious-circle fallacy, 185, 266, 271

Vienna Circle, 300

Vision, 35n., 38, 40, 45, 55-56, 77, 273, 287, 318, 362, 391

Wandering spirits, 73

Wang, Hao, 22-23, 335, 341-42

War, 12, 18, 96, 155-56, 161-63, 166, 301, 393

Warning sign, 233, 259

Weber, Dr. Marielène, XIII

Weber, Rev. Fritz, XIII

Weierstrass, Karl, XI, 1-9, 19, 81-82, 110, 151, 200, 207n., 367, 369, 392

Wesenschau, 342-43

Weyl, Hermann, XII, 42n. 46, 55-58, 265-83, 363n., 392-93

Whitehead, Alfred North, 110, 168, 237

Wholes, 38n., 43, 52, 57, 77, 85, 86, 180, 197, 202, 213-14, 220, 224, 227, 233, 243-48, 250-53, 258, 304, 312, 314-17, 321, 328

Widersinnigkeit, 196, 208, 214-15, 242-43, 249-51, 316

Will to live, 106

Willard, Dallas, 67n., 185, 285, 295, 299, 318

Windelband, Wilhelm, 375, 386

Wineglasses, 230

Witchcraft, 302

Wittgenstein, Ludwig, XI, 153-57, 166-67, 237

Woker, Canon Franz, 368, 370-72, 377-78

World, 24-25, 31, 34-35, 42n., 44-45, 57, 82, 89, 107, 148, 188, 234-35, 259, 261, 266, 268, 285-97, 300-03, 308-10, 314, 318, 321, 325-35, 338, 340-41, 348n., 350-56, 360-65, 392. See also Life-world.

World, concrete, 24, 350n.

World, external, 57, 334

World-logic, 292

Worms, can of, 238, 262

Worthlessness, 14, 66, 212

Wundt, Wilhelm, 376, 369, 386

Zermelo, Ernst, 17, 151, 160, 162-63, 167-68, 201n., 213, 231, 270

Zermelo-Fraenkel, 110

Zero, 34, 35, 38, 41, 42

Zimmermann, Robert von, 367

Zsigmondy, Karl, 154n., 165