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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
Negation, Wittgenstein on      632
Newton, I.      309
Nicod, J.D.P.      526
Nicole, P.      315
Nominales      239
Non-denumerable sets      438 ff. 712
Non-Euclidean geometry      381
Normal form, conjunctive      697
Normal form, Skolem prenex      432 708
Notker Labeo      199
Null class      407 425
Numerals      391
Numerals, Frege on      454
Obligationes      233—234
Obligationes, Strode on      245
Obversion      57
Ockham on consequentiae      288 ff.
Ockham on relations      428
Ockham on universal      265
Ockham, William      238 243 317
Ockham’s razor      243
Ontological argument      201
Ontological argument, Frege on      459
Ontological argument, Kant on      358
Opposition in Abelard      210
Opposition modal      86 125—126
Opposition, square on      55
Origen      165
Paradox Berry’s      656
Paradox Burali — Forti’s      652
Paradox Grelling’s      656
Paradox Richard’s      653
Paradox Russell’s      652
Paradox Skolem’s      711 (see also “The liar”)
Paradoxes Megarian      114 227
Paradoxes of material and strict implication      281 ff. 549
Paradoxes of theory of sets      652 ff.
Paradoxes semantic      665
Parallels postulate      388
Parmenides      8 15 21 113
Parts of speech, Stoic account of      143
Parvipontanus (Adam of Balsham)      227 440
Pascal, B.      315 317 388
Patzig, G.      73 n.
Paul of Pergola      245 292
Paul of Venice      229 245
Peacock, G.      398
Peano, G.      327 438 473 713
Peano, his symbolism      520—521
Peirce definition of finite set      440
Peirce on identity      433
Peirce on logic of relations      428—434
Peirce, G.S.      49 n. 420 422 510 526
Peripatetic, opposed to Stoic school      113 ff.
Perry, H.      306
Pervasive terms      20 30
Peter Lombard      238 243
Peter of Spain (Pope John XXI)      234 295 428
Peter of Spain on appellatio      264
Peter of Spain on distributio      272
Peter of Spain on suppositio terminorum      263 ff.
Peter of Spain on universal      265
Philo of Megara      15 115 117 141 148 161 194 420 531
Philo of Megara on conditionals      128 ff.
Philo of Megara on modality      122 125
Philoponus, J.      71 143 186 187
Pierre d’Ailly      230 f.
Plato      1 6—22 32 39 45 308
Plato and abstract entities      591 626 636
Plato and the consequentia mirabilis      173
Pletho, G.      308
Ploucquet, G.      348 f.
Plutarch      162 440
Poincare, H.      655 672 680
Polyadic relatives      432
Pomponazzi, P.      306
Ponendo ponens      98
Ponendo ponens in Abelard      219
Pons asinorum      186 f.
Popper, K.R.      563 650
Porphyry      25 n. 27 187 191 198
Porphyry on genus and species      196
Porphyry on three kinds of discourse      194 f.
Porphyry’s tree      232 319
Port Royal Logic      315 ff.
Positio terminorum      193
Possibility Abelard’s treatment of      213
Possibility absolute and relative      92 104 124
Possibility defined in terms of necessity and negation      85
Possibility distinguished from contingency      84
Possibility in modern modal logic      551 ff.
Post, E.L.      420 532 568 689
Post-praedicamenta      26 204
Power-set      441
Prantl, G.      145 n. 164 182 229 234
Predicables      33 35 187
Predicables in Garland the Computist      199
Predicables in William of Shyreswood      232
Prior, A.N.      121 n. 526
Priscian      144 153 211 247 250
Probability, Boole on      414 f.
Problema      34
Proclus      3 380 440
Projective geometry      388
Property      35
Propositio = leading premiss      177 f.
Propositio = propositional sign      50 178 205
Propositiones mentales      229
Propositions      49 f. 53 153 155 592
Propositions in Abelard      205
Proprietates terminorum      209 233 246
Prosleptic premisses      106 ff.
Protagoras      14
Protasis      34
Pseudo-Scot      242 540 549
Pseudo-Scot on consequentiae      277 ff.
Ptolemy Soter      113
Ptolemy, Claudius      380
Pythagoras’ theorem      4
Pythagoreans      3 7 390
Quantification of the predicate      112 259
Quantification of the predicate in Hamilton      352 ff.
Quantification of the predicate in Lambert and Ploucquet      349
Quantification theory      295
Quantifiers in Frege      485 ff. 493 511
Quantifiers in Peirce      430
Quantifiers in William of Shyreswood      231
Quantifiers various notations      521
Quantifiers with modal signs      613 ff.
Quaternions      399 401
Quine, W.V.      515 516 517 533 547 604 616 625 635 644 654 672
Quintilian      178
Quotation marks      see “Inverted commas”
Ramsey, F.P.      664 f.
Ramus, P.      301 ff.
Real numbers      402 ff 438 673
recursive functions      729 ff.
Reducibility, axiom of      662 ff.
Reductio ad absurdum      15 f. 128 172
Reductio ad absurdum dist. from reductio ad impossibile      9
Reductio ad impossibile      7 9 97
Reduction (of syllogisms)      38 41 76 102
Reduction principles (in modal logic)      551 565
Reichenbach, H.      52 n.
Relations, logic of      41 185 259
Relations, logic of, in De Morgan and Peirce      427 ff.
Relations, logic of, in Lambert      349
Relations, logic of, in Leibniz      324 329
Richard, J.      653
Riemann, G.F.B.      382
Robinson, R.      9 n. 10 11
Robinson, R.M.      732 734
Roscellin      200 223
Ross, Sir David      87 89
Rosser, J.B.      569 n. 720
Royal Society      337
Russell on identity      619 ff
Russell theory of types      657 ff.
Russell, B.      262 323 402 437 467 511 517 527 530 537 539 553 594 604 628 629 683 723 740
Russell, his paradox      652 ff.
Ryle, G.      671 n.
Saccheri, G.      345 ff. 380
Salisbury, John of      200 225
Sanderson, R.      298
Satisfiability      705
Satz-an-sich      360
Savonarola, G.      245
Schematic letters      516
Schlick, M.      631
Schmidt, A.      627 n.
Schoenfinkel, M.      522 705 726
Schroeder, E.      423 424 430
Schuette, K.      727 728
Schuhl, P.M.      119 n.
Scientia sermocinalis      230
Seneca      141
Seton, J.      299
Sets, theory of      438 ff.
Sextus Empiricus      7 16 116 128 140 144 161 164 169 173 185
Sextus Empiricus, Latin translation of      281
Shannon, C.E.      422 n.
Sheffer, H.M.      423 425 522 526
Signa quantitatis      211
Significatio in Burleigh      270
Significatio in Ockham      270
Significatio in William of Shyreswood      246 f.
Simplicius      143
Singular and general statements      31 55 63 155
Singular and general statements in Euler      306
Singular and general statements in Leibniz      323
Singular and general statements in Port Royal Logic      319
Singular and general statements in Ramus      304
Singular and general statements in Wallis      305
Sinn und Bedeutung      493 ff 586
Skolem, T.      476 627 707 711 727 732
Socrates      7 8 15 21
Solmsen, F.      24 n.
Sophisms      12 f. 16 227 233 298
Speusippus      392
Steele, D.A.      440 n.
Stilpo      113 115
Stoics      12 16 18 21 48 91 97 99 105 188 240 516
Stoics claim to completeness of system      174
Stoics influence in Boethius      191 193
Stoics on conditionals      161 f.
Stoics on disjunction      162
Stoics on negation      147 160
Stoics relation of system to Aristotelian      175
Stoics system of inference schemata      158 ff.
Stoics theory of modality      123 ff.
Stoics theory of truth and meaning      138 ff.
Stoics use of variables      159
Strawson, P.F.      637 n. 638
Strict implication      553 559
Strode on consequential      292
Strode, R.      244
Stroke-function      423 426 526
Sub-contraries      56
Subaltern moods      74
Subalterns      56
Subject-predicate statements in Aristotle      31 55 63
Subject-predicate statements in Leibniz      344
Subject-predicate statements in Stoics      144
Substance, in Aristotle      26 29 32
Substitution      481 490 507 528
Substitution      481 490 507 528
Substitution and detachment      108
Substitution and detachment      108
Suppositio communis      256
Suppositio confusa      258
Suppositio determinata      258 f.
Suppositio discreta      256
Suppositio formalis      256
Suppositio immobilis      256
Suppositio in Geulincx      314
Suppositio in Renaissance logic      298
Suppositio indeterminata      258
Suppositio manerialis      255
Suppositio materialise      253
Suppositio mobiiis      255 f.
Suppositio personalis      254 f. 256
Suppositio simplex      254 f.
Suppositio terminorum      209 511
Suppositio terminorum      209 511
Suppositio, Burleigh on      270
Suppositio, Ockham on      267 ff.
Suppositio, Peter of Spain on      263
Suppositio, William of Shyreswood on      246 ff.
Swineshead, R. (Suisseth)      244.
Swineshead, R. (Suisseth)      244.
Syllogism      10 12 24 31 36 44 67
Syllogism      10 12 24 31 36 44 67
Syllogism modal      87 ff.
Syllogistic in Boole’s system      419
Syllogistic in Port Royal Logic      319
Syllogistic, Kant on      354
Syllogistic, Leibniz on      322 f.
Syllogistic, Mill on      375
Syllogistic, part of general logic      176
Sylvester II (Gerbert)      199
Sylvester II (Gerbert)      199
Symbolism      513—524
Symbolism      513—524
Syncategoremata      233
Syncategoremata      233
Tarski on language and metalanguage      665 f.
Tarski on logical consequence      640 ff.
Tarski, A.      426 526 574 588 680 722 732 734 736
Tarski, A.      426 526 574 588 680 722 732 734 736
Taylor, A.E.      16 n.
Taylor, A.E.      16 n.
Tenses      45 51
Tenses      45 51
Tenses in Stoic lekta      153
Terminus, vocalis, mentalis, scriptus      194 f. 230 269
Terminus, vocalis, mentalis, scriptus      194 f. 230 269
Thales      3
Thales      3
Themata, Stoic      165 169 323
Themata, Stoic      165 169 323
Themistius      188
Themistius      188
Theodosius      174 346
Theodosius      174 346
Theologumena Arithmeticae      392
Theologumena Arithmeticae      392
Theophrastus      99 ff 159 185 190 191
Theophrastus      99 ff 159 185 190 191
Theophrastus of hypothetical syllogisms      105 110
Theophrastus of modal syllogisms      102
Theophrastus of syllogism $\kappa\alpha\tau\alpha$ $\pi\rho o\sigma\lambda\eta\psi\iota\nu$      107
Theophrastus theory of modality      101
Thomae, J.      452 474
Thomae, J.      452 474
Thomas Aquinas on modality      236
Thomas Aquinas, St.      202 226 229 324 647
Thomas Aquinas, St.      202 226 229 324 647
Thomas of Erfurt      242
Thomas, L.      227 n. 235
Thomas, L.      227 n. 235
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