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Kneale M. — Development of Logic
Kneale M. — Development of Logic



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Название: Development of Logic

Автор: Kneale M.

Аннотация:

This book is an attempt to trace the development of formal logic from its origin with the Greeks to the present day.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: 1st edition

Год издания: 1985

Количество страниц: 800

Добавлена в каталог: 05.04.2008

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Diogenes of Babylonia      143
Dionysius of Halicarnassus      154
Dionysius Thrax      143
Diophantus      62
Disjunction      105 148 160 521
Disjunction, Abelard on      222
Disjunction, Boole on      410
Disjunction, Frege on      482.
Disjunction, Galen on      182
Disjunction, Kilwardby on      276
Disjunction, William of Shyreswood on      231
Disputations      203 300
Dissoi Logoi      16 18 49 53
Distributio      258 264 270 272
Division, method of      10 32 67
domains      703 ff. 726
Double Negation      147 169 171 675
Duns Scotus      226 242 525
Ecthesis      77 81
Elenchus      7 9 15
Entailment      96 276 288 541
Enuntiabile      240
Epicrates      10
Epictetus      119
Epicureans      177
Epicurus      48
Epimenides      228
Eratosthenes      182
Erigena, Johannes Scotus      199
Eristic      12 ff 15 113
Euathlus      14
Eubulides      16 113 114 115
Euclid      4 8 61 80 174 308 379 385
Euclides of Megara      8 15 16 113
Eudemus      5 86 105 185 190
Eudoxus      61 379 391 662
Euler, L.      306 337 349 350
Excluded Middle      32 46 48 161 171 711
Excluded middle in Intuitionism      679 ff.
Existential import      58 65
Existential import in Abelard      210
Existential import in Boole      412
Existential import in Leibniz      323
Existential import in Peter of Spain and St. Vincent Ferrer      264
Existential import in William of Shyreswood      260
Existential propositions, how symbolized      521
Existential propositions, how symbolized, not all empirical      707
Expository syllogism      273
Extension, of general terms      318
Extensionality, thesis of      605
Fallacy, in Plato      11 12
Faris, J. A.      351 n.
Fatalism      48
Ferrybridge on consequentia      292
Ferrybridge, R.      244 245
Feys, R.      522 n.
Figures of syllogism      68 ff.
Findlay, J. N.      718 n.
Finsler, P.      720
Formalism in mathematics      452
Formalism in mathematics Hilbert’s      686
Forms, theory of      19 44 45
Forms, theory of Aristotle’s views on      29 94
Fourth figure of syllogism      100 183
Fraenkel, A.      655 n. 683 687
Fraunce, A.      299
Frege, G.      403 413 426 427 435—512 518 519 524 528 530 537 539 587 594 602 604 622 686 738
Frege, on descriptions      593
Frege, on identity      618
Frege, on modality      548
Frege, on nature of logic      626
Frege, on Russell’s paradox      652 ff.
Function      395
Function, Frege on      499 ff. 587 622
Function, in theory of types      658 ff.
Function, predicative      662 ff.
Future contingents, in Abelard      214
Future contingents, in Aquinas and others      237
Future contingents, in Aristotle      47 ff.
Future contingents, in Boethius      190
Future contingents, Lukasiewicz on      569
Galen      80 116 162 165 169 175 177 182
Galileo Galilei      307 440
Galois, E.      337 389
Gardner, M.      421 n.
Garland the Computist      199
Gauss, K.F.      358 381 673
Geach, P.      437 n.
Gentzen, G.      538 ff 558 562 721 742
Genus      35 196
Geometry      2 379
Gerbert (Pope Sylvester II)      199
Gergonne on implicit definition      385 683
Gergonne, J.D.      350—352
Geulincx, A.      314
Geyer, B.      215 n.
Gilbert de la Porree      225
Goedel, his proof of completeness of general logic      707 ff
Goedel, K.      442 476 555 556 640 679—680 727 729 741
Goedel, of the incompletability of formal arithmetic      713 ff
Goldbach’s conjecture      565 676 722 729
Grabmann, M.      224 n.
Grassmann, H.      337 399
Greatest kinds, Plato’s doctrine of      20
Gregory of Rimini      231
Gregory, D.F.      398
Grelling’s paradox      656
Grosseteste, R.      241
Groups, theory of      389 736
Hamilton, Sir William (of Edinburgh)      112 352 404
Hamilton, Sir William Rowan      399 401 402
Hankel, H.      448
Heath, Sir Thomas L.      4 n. 5
Henle, P.      552
Herbrand, J.      703 708
Hermogenes      178
Hertz, P.      562 n.
Heytesbury, William      244 245
Heyting, A.      574 674 677
Hilbert, D.      383 437 515 527 535 546 595 681 711 714 720 735 740
Hilbert, his symbolism      521
Hillebrand, F.      411 n.
Hintikka, J.      91 n.
Hipparchus      162
Hobbes, Mill on      372
Hobbes, T.      311
Howell, W.S.      305 n.
Hume, D.      459 643 648
Huntingdon, E.V.      423 ff 695
Hyper-complex numbers      399
Hypothesis, arguments from, in Aristotle      43 98
Hypothesis, in Plato      7 9
Hypothetical argument, in Theophrastus      105
Hypothetical in Boethius      190
Hypothetical syllogism      105 110 180
Identity      22 36 42 742
Identity of indiscernibles      324 462
Identity, Frege on      489 493 507 618
Identity, Leibniz on      340
Identity, Peirce on      433
Identity, Whitehead and Russell on      619 ff.
imaginary numbers      393
Implicat = implicat contradictions      300
Imposition, first and second      195 229
Imposition, in Abelard      204
Incommensurability of diagonal      8 77 98 391
Indefinite statement      37 39 40 47 55
Indemonstrables      162 ff.
Indemonstrables, Boethius on      191
Indemonstrables, Cicero on      179 ff.
Independence of axioms of calculus of propositions      692 ff.
Independence of rules of development      700
Independence of rules of general logic      703
Independence, proof of      387
Indirect moods      100
Indiscernibility of identicals      604
Induction, in Aristotle      36
Induction, mathematical      467 ff 701 732
Induction, mathematical Poincare on      655
Inference schemata      80 111 527 535 538
Inference schemata in medieval logic      277
Inference schemata, Stoic system of      158 ff. 558
Infinite sets      440 470 476 655
Infinite sets, Brouwer on      673
Infinite sets, Hilbert on      684
Infinity, axiom of      669
Innate ideas      310
Insolubilia      227 ff. 233 298 656
Intension      318
Intensional language      603 ff.
Intensionality      601 ff.
Intentio      229 ff.
Intentio in Ockham      269
Intentions in Peirce      432 f.
Intentions, first and second      230
Intuitionism      672 ff.
Intuitive induction      537
Inverted commas      27 51 514 607
Involution      541 563 567 742
Isomorphism      387
Jaesche, B.G.      354
Jaskowski, S.      539 548
Jerome, St.      188
Jevons, W.S.      201 406 407 420 421 422
John of Salisbury      200 201 225 239
John XXI      see “Peter of Spain”
Jourdain, P.E.B.      437 n.
Judicium = judgement      317
Junge, J.      313
Kalin, T.A.      421
Kalmar, L.      727
Kant, Frege on      445 ff.
Kant, I.      242 354 385
Kilwardby, R.      235 275
Kleene, S.C.      680 n.
Klein, F.      383 389
Kluegel, G.S.      381
Kneale, W.      97 n. 404 672 n.
Kronecker, L.      403 673
Lambda-conversion      734
Lambda-definability      733
Lambda-operator      518 602
Lambert, J.H.      348
Lambert, Kant on      354
Langford, C.H.      549
Leibniz on definition      334
Leibniz on existential import      323
Leibniz on general science of method      331 ff.
Leibniz on ideal language      327 ff.
Leibniz on intension and extension      339
Leibniz on traditional logic      322 ff.
Leibniz on truths of reason and truths of fact      335
Leibniz project for encyclopedia      330 ff.
Leibniz, De arte combinatoria      325 ff.
Leibniz, G.W.      31 242 245 251 313 320—345 412 424 435 445 455 462 463 498 530 562 739
Lejewski, C.      108 n.
Lekton      16 127 140 153 188 360 500
Lesniewski, S.      426 529
Lever, R.      298
Lewis, C.I.      343 548 601 615
Liar, Tarski on      590 665
Liar, the      16 114 227 656 660 718 734
Lobachevsky, N.I.      382
Locke, J.      310 312
Loewenheim, L.      708 711
Logically proper names      596
Lucian      178
Lukasiewicz on many-valued logics      571 ff.
Lukasiewicz on three-valued logic      569 ff.
Lukasiewicz, his symbolism      521
Lukasiewicz, J.      47 n. 80f. 175 347 490 526 532 539
Lull, R.      241 421
Maass, J.G.E.      364
MacColl, H.      427 549
Mach, E.      631
Machines, logical      201 421
Major and minor terms      68 ff.
Mana      229
Many-sorted logic      626 ff.
Marcus Aurelius      116
Marquand, A.      421
Marsilius of Inghen      244
Martianus Capella      178 ff. 188 192 198
Master argument      118 ff. 126 131 133
Material implication      553 ff.
Mates, B.      118 n. 159 170
Matrix square      531 692
Matrix, of formula      725 728
Mays, W.      407 n. 421
McKinsey, J.C.C.      678 n. 680
Meaning      648
Meaning, Aristotle’s theory of      45 ff.
Meaning, Frege’s theory of      576 ff. (see also “Comprehension” “Connotation” “Significatia” “Sinn”)
Meaning, Stoic theory of      138 ff.
Medadic relative      432
Megarians      12 15 97 113
Meinong, A.      262 596
Melanchthon, P.      305
Mereology      426
Metalanguage      665
Metamathematics      681 ff.
Metatheory of general logic      701—712
Metatheory of primary logic      689—701
Michalski, K.      238 n.
Mill, Frege on      444
Mill, J.      371 ff. 455 639
Milton, J.      305
Minio-Paluello, L.      186 n. 189 203 225
Mitchell, O.H.      43 n.
Modal contexts, substitution in      610 ff.
Modal logic in Abelard      212
Modal logic in Albert the Great and Aquinas      236
Modal logic in Pseudo-Scot      243
Modal logic in William of Shyreswood      232
Modal logic Megarian and Stoic      117 ff.
Modal logic modern      548 ff. 601
Modal logic, in Aristotle      81 ff.
Modal syllogism      41 82
Modal syllogism in Theophrastus      102
Modality de dicto and de re      213 232 236 511 616
Moderni      200 245 273
Monadic functional calculus, solution of decision problem for      726
Monadic relative      432
Monomorphism of axiom sets      387 473 476
Montucla, J.E.      381
Moods of syllogism      72 ff.
Moody, E.A.      211 n. 297
Mostowski, A.      732 734
Natural deduction      538 ff.
Necessity absolute and relative      92 104
Necessity and language      628 ff.
Necessity in Leibniz      334
Necessity in modal logic      551 555 564 365
Necessity in Stoic theory      124
Necessity, Aristotle on      39 41 85 94
Necessity, Plato on      19
Negation      21
Negation, Abelard on      210
Negation, Aristotle on      47 55
Negation, Stoics on      147 160
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