Cambridge University Press 0521631785 - The Cambridge Companion to Bertrand Russell Edited by Nicholas Griffin Index More information index ABC of Atoms, The (Russell), 9 percepts, 362–3, 367–8, 399, 414, ABC of Relativity, The (Russell), 9 418n, 460, 466–8 Abel, Niels, 184 physics, 362–3, 402, 460 acquaintance, 33, 347, 350–2, 423–4, scepticism, 33 439–40, 441 structuralism, 399, 414, 466–8 and imagination, 347 structural realism, 34 and inference, 342, 422 Analysis of Mind, The (Russell), 317, and introspection, 347, 422–3 362, 420, 424, 448, 464 and knowledge, 342, 344–5, 352, 355, acquaintance, 439, 441, 442–3, 452 384, 421–4, 426–9, 442, 457 behaviourism, 443–4 and linguistic meaning, 345 beliefs, 354, 356, 441, 443 and memory, 347, 424, 434, 442 causality, 442–3 and perception, 422–4 empiricism, 35 and reasoning, 342 foundationalism, 441 and sensation, 347, 422 functionalism, 443 as mental relations, 341, 342, 344, images, 354, 356, 360, 443 345, 350, 356, 384, 422 introspection, 354, 360 dismissal of, 351–2, 356 knowledge, 440–4 objects of, 342, 422, 423–4 language, 35, 442–3 principle of, 22, 26, 29, 226–7, 239n, matter, 357 341–2, 434 memory, 442 with universals, 426–7 negative facts, 382 analysis, 20, 25, 26, 105, 113–14, 125, neutral monism, 332, 353–7, 366, 153–5, 160n, 163, 167–8, 223, 440–4, 452, 460 310–30, 383, 386n, 436, 439 reliabilism, 442–4, 445 See also logical atomism, logical scepticism (five-minute hypothesis), construction 33 “Analysis of Mathematical Reasoning, sensations (“neutral stuff”), 32, 336, An” (Russell), 103, 104, 134 354–5, 356, 357, 360, 440, 465 contradiction of relativity, 98, 101–2 analytic philosophy, 128, 153–68, 329 Analysis of Matter, The (Russell), 9, 317, “Analytic Realism” (Russell), 44 365, 406, 411–2, 418n, 461 anarchism, 488 copunctuality, 411, 414 antinomies in Russell’s idealism, events, 32 of free mobility, 96–7 neutral monism, 332, 356, 367–8, of the point, 96, 97, 103 460 of quantity, 98 541 © Cambridge University Press www.cambridge.org Cambridge University Press 0521631785 - The Cambridge Companion to Bertrand Russell Edited by Nicholas Griffin Index More information 542 index Austin, J.L., 391 theory of transfinite numbers, 54, 70, Authority and the Individual (Russell), 248 15 topology of classes of points, 53, 54 Autobiography (Russell), 57, 74, 79, capitalism, 11, 489 130–1, 135n, 181n, 283 Carnap, Rudolf, 1, 31, 51n, 78, 157, 168, axioms, 390, 451 of choice (multiplicative), 63–4, 71, Carroll, Lewis, 75 184, 193, 413 Cassirer, Ernst, 76 of infinity, 64, 70, 184–5, 192–3, Cauchy, A.L., 51, 53, 58, 59, 64, 184 297–8, 305, 413 causality, 442–3 of internal relations, 123 Chisholm, Roderick, 44 of reducibility, 70, 184–5, 193, 200, Church, Alonzo, 76, 249, 262n, 289, 297 297–305 Chwistek, Leon, 76, 77 Ayer, A.J., 1, 40, 459, 494, 502 Cocchiarella, Nino B., 245, 272n, 278 communism, 8, 11, 16, 17, 493 Barnes, Albert, 13, 14 consciousness, 461–5 Barnes, W.H.F., 502 contradiction of relativity, 98,101–2 behaviourism, 41, 340, 354, 356, 360–1, Couturat, Louis, 56, 57, 64, 96 362, 369, 443–4, 464 Critical Exposition of the Philosophy of changing human nature, 10n Leibniz, A (Russell), 7, 25, 173, 174 linguistic meaning, 35, 36, 345–6 Cuban missile crisis, 16, 17 methodology, 32, 336, 350, 361, 364, 443 Dawes Hicks, G., 30, 399–401, 417n Behmann, Heinrich, 78 Dedekind, Richard, 53, 54, 58, 85, 184, Bentham, Jeremy, 156, 477–8, 479 243, 248 Bergson, Henri, 41 definition of number, 179 Berkeley, George, 333, 432 theory of numbers, 72, 178–80 Berry, G.G., 63 denotingconcepts, 120, 135, 155, 212, Black, Dora, 8–9, 11, 12 214–22, 225, 227, 237n Bloomsbury group, 8 descriptions, theory of, 23–6, 29, 59, 65, Bohr, Niels, 29 66, 125, 135, 151, 153, 187–8, bolshevism, 8, 9, 10, 501 202–35, 239n, 246, 247, 283, 290, Bolzano, Bernard, 184 388, 392, 393, 430–1 Boole, George, 56, 175 See also “On Denoting” Boolos, George, 305, 419n desire-to-desire theory, 495, 502 Bradley, F.H., 86–8, 95, 100, 102, 103, Descartes, Rene,´ 155, 333, 472 108, 155, 163, 236n, 497 Determinism, 363 Broad, Charlie, D. 18, 89, 366, 453 Donnellan, Keith, 231–2 Brouwer, L.E.J., 76 Dubislav, Walter, 78 Burali-Forti, Cesare, 55, 57, 62, 181 Dummett, Michael, 37, 158, 161, 417n Burali-Forti paradox, 62 Burkamp, Wilhelm, 76 Education and the Social Order Burnyeat, Myles, 401 (Russell), 480, 484 Edwards, Paul, 42 Cantor, Georg, 51, 58, 59, 62, 63, 71, 96, Einstein, Albert, 16, 29 184, 190, 248, 286 “Elements of Ethics, The” (Russell), set theory, 53, 54 475, 498 theory of derived classes, 54, 72 emotivism, 476, 478, 494, 499, 501, theory of the principal order-types, 502–3 56, 72 empiricism, 35, 38–41, 55, 333, 449–50 © Cambridge University Press www.cambridge.org Cambridge University Press 0521631785 - The Cambridge Companion to Bertrand Russell Edited by Nicholas Griffin Index More information index 543 error theory, 476, 494, 499–501 Godel,¨ Kurt, 78, 79, 186, 293, 303, 304, Essay on the Foundations of Geometry, 305–6 An (Russell), 4, 55, 88, 89, 90, 103 Goodman, Nelson, 42, 446, 451 extensionality, principle of, 375–7 Grassmann, Hermann G., 54, 56, 184 Greg, W.W., 77 fallibilism, 325 Grelling, Kurt, 69 feminism, 5, 12n Grice, Paul, 230–232 Finch, Edith, 14n Firth, Roderick, 30–1 Haack, Susan, 194 Fodor, Jerry, 440 Hahn, Hans, 78 Fraenkel, W., 51n Hallett, Garth, 35 free logic, 206 Hamilton, William, 184 Freedom and Organization (Russell), 11 Hardy, G.H., 62 Frege, Gottlob, 1, 60–1, 102, 128–68, Has Man a Future? (Russell), 476 185, 243, 288, 313, 375–6, 396, 421, Hausdorff, Felix, 71 430 Hawtrey, Ralph, 66 analysis of number, 72, 139–45, 152–3, Hegel, G.W.F., 88–9, 108, 483 176–8 Heidegger, Martin, 483 analytic philosophy, 153–68 Hilbert, David, 76 ancestral relation, 71, 137 History of Western Philosophy (Russell), arithmetic, 21, 60, 131–2, 152, 176–7, 14, 88, 129, 153, 312, 315n, 482, 194, 241–2 486, 488 definite descriptions, 23, 166–8 Hobbes, Thomas, 480–1, 486–92 definition by abstraction, 143 Holder,¨ Otto, 76 empty names, 166–8 Human Knowledge: Its Scope and equinumerosity, 142–3, 144 Limits (Russell), 14, 312, 317, 323, foundations of mathematics, 128, 328n, 452, 454, 460 176–7 defeasible reasoning, 42 hereditary properties, 136–7 Hume’s principle, 143, 147, 150, 176 Goodman’s riddle, 42, 446–7 logicism, 21, 60, 132, 137, 144–5, 153, inference, 41–42, 318–319, 445–7, 461, 175, 184, 194 469–73 mathematical logic, 19, 60 neutral monism, 332, 356, 365–6 quantification theory, 23, 24, 132–3, postulates of non-demonstrative 175–80 inference, 42–3, 318, 319–20, 326, relational propositions, 132, 133, 135 470–3 Russell paradox, 60, 146–52, 180–2, probability, 319, 365 243, 287, 289–90 reliabilism, 447–8, 471–2 sense/reference distinction, 210, 214, representationalism, 402 236n, 238n scientific knowledge, 318, 319, 324, symbolization, 131–2 365, 446, 466–7, 469 unity of proposition, 162–5 sensations, 399 “The Fundamental Ideas and Axioms of solipsism, 446 Mathematics” (Russell), 20–1, 104–6 Human Society in Ethics and Politics (Russell), 475, 476, 489, 501, 503 Genocchi, Angelo, 54 humanistic amoralism, 501 geometry, 69, 73 Hume, David, 39, 155, 338–9, 462, 475, general metrical, 90–3 503 German Social Democracy (Russell), Hume’s principle, 143, 147, 150, 176 5, 17 Husserl, Edmund, 102, 105, 326 © Cambridge University Press www.cambridge.org Cambridge University Press 0521631785 - The Cambridge Companion to Bertrand Russell Edited by Nicholas Griffin Index More information 544 index Icarus (Russell), 10 logical synthesis, 312 idealism, 85–104, 153, 213–4, 327, realism, 188 462–3, 497–8 structuralism, 396–7, 399 antimony of free mobility, 96–7 “Is Mathematics Purely Linguistic?” antimony of the point, 96, 97 (Russell), 192n antimony of quantity, 98 “Is There an Absolute Good?” (Russell), arithmetic, 97–8 499 Bradley, F.H., 86–7, 88, 100, 103, 108, 236n, 497 James, William, 335, 339, 343–4, 356, conceptual structures, 207–8 439, 443, 460, 461, 462–3 contradiction of relativity, 99–102 Johnsen, B., 42 general metrical geometry, 90–3 Johnson, W.E., 326 Hegel, G.W.F., 89, 108, 236n Jourdain, Philip, 62 immortality, 497 Kant, Immanuel, 89–90, 91, 102–3, Kant, Immanuel, 89–90, 91, 102–3, 108, 108, 236n 122, 241–2, 333, 397–8, 410, 469 McTaggart, J.M.E., 87, 88, 89, 108–9, Keynes, John Maynard, 77 497 Keyser, Cassius J., 64 Moore, G.E., 103–4, 108 Khrushchev, Nikita, 15–16, 17 pluralism, 87–8, 109 knowledge, 33–4, 420–48, 450–73 psychologism, 19–20, 103, 207–8 by acquaintance, 421, 422, 424, 426–7, relations, 88 428, 442, 457 science, 88–90, 93–6, 98–100 by causation, 447–8 Inquiry into Meaning and Truth, An derivative, 421, 427, 430, 457, 458 (Russell), 41, 317, 328n, 404–5, 406, by description, 421, 430–3, 438, 457 461 intuitive, 421, 422, 424, 428–30, 434, behaviourism, 36, 364 458 empiricism, 38 mathematical, 200–1 foundationalism, 445 scientific, 18, 318, 319, 324, 365, 446, hierarchy of languages, 36 466–7, 469 knowledge, 364, 445 “Knowledge by Acquaintance and law of excluded middle, 36–8 Knowledge by Description” logical positivism, 364–5 (Russell), 22n, 44, 237n, 240n, 342, logical truth, 38 455 neutral monism, 332, 364 multiple relation theory of judgment, ordinary language, 364 28n, 453–4 realism versus anti-realism, 37–8 principle of acquaintance, 239n, 342 reference, 35–6 theory of descriptions, 29, 239n reliabilism, 445 Kripke, Saul, 232–5 scepticism, 445, 450 structuralism, 405 labour party, 8, 9, 10, 14 Introduction to Mathematical Leibniz, Gottfried, 7, 18, 173–6, 241, Philosophy (Russell), 131, 138, 313,