Studies and Exercises in Formal Logic: Including a Generalisation of Logical Processes in Their Application to Complex Inferences

Cover
Macmillan & Company, limited, 1928 - 548 Seiten
 

Inhalt

The Logic of Terms
11
Proper Names
13
Collective Names
14
Concrete and Abstract Names
16
Can Abstract Names be subdivided into General and Singular?
19
Exercises
21
CHAPTER II
22
Connotation Subjective Intension and Comprehension
23
Sigwarts distinction between Empirical Metaphysical and Logical Concepts
27
Dependence of Extension and Intension upon one another
31
24
40
to 30 Exercises
47
The Classification of Judgments
53
Kants Classification of Judgments
54
Simple Judgments and Compound Judgments
55
The Modality of Judgments
56
NEGATIVE NAMES AND RELATIVE NAMES
57
Subjective Distinctions of Modality
58
Objective Distinctions of Modality
59
Modality in relation to Compound Judgments
60
The Quantity and the Quality of Propositions
61
The traditional Scheme of Propositions
62
42
63
The Distinction between Subject and Predicate in the traditional Scheme of Propositions
64
Universal Propositions
65
Particular Propositions PAGE
66
Nature of the Enquiry into the Import of Propositions
70
The Universality of Judgments
76
79
81
Singular Propositions
102
Plurative Propositions and Numerically Definite Propositions
103
Indefinite Propositions 70 Multiple Quantification
105
CHAPTER III
109
Contradictory Opposition
111
Contrary Opposition
114
The Opposition of Singular Propositions
115
The Opposition of Modal Propositions
116
Extension of the Doctrine of Opposition 116
117
The Nature of Significant Denial
122
to 95 Exercises
124
IMMEDIATE INFERENCES
126
Table of Propositions connecting any two terms
132
The Reading of Propositions in Comprehension
136
CHAPTER VII
137
The Validity of Inversion
139
Reduction of the traditional forms of proposition to the form
142
The Elimination of Negative Terms
146
PAGE 177
148
119
154
124
155
CHAPTER V
156
Immediate Inferences and the Existential Import of Proposi
158
127
163
Eulers diagrams and the classrelations between S notS
170
to 134 Exercises
176
THE PREDICATE 137 The employment of the symbol of Equality in Logic
189
Types of Logical Equations
191
The expression of Propositions as Equations
194
The eight propositional forms resulting from the explicit Quantification of the Predicate 141 Sir William Hamiltons fundamental Postulate of Logic 1...
195
Advantages claimed for the Quantification of the Predicate
196
Objections urged against the Quantification of the Predicate
197
The meaning to be attached to the word some in the eight propositional forms recognised by Sir William Hamilton
199
The use of some in the sense of some only
202
The interpretation of the eight Hamiltonian forms of propo sition some being used in its ordinary logical sense
203
The propositions U and
204
The proposition
205
The proposition
206
CHAPTER VIII
210
Formal Logic and the Existential Import of Propositions
215
CHAPTER I
285
Restatement of the Rules of the Syllogism
291
Other apparent exceptions to the Rules of the Syllogism
297
215
305
218
306
THE REDUCTION OF SYLLOGISMS
318
260
324
Further discussion of the process of Indirect Reduction
331
to 287 Exercises
339
Lamberts diagrams and syllogistic reasonings
347
301
348
The Moods of the Mixed Hypothetical Syllogism
352
Fallacies in Mixed Hypothetical Syllogisms
353
The Reduction of Mixed Hypothetical Syllogisms 308 Is the reasoning contained in the mixed hypothetical syllogism mediate or immediate
354
Figure and Mood
358
CHAPTER VI
359
The modus ponendo tollens
361
The Dilemma
363
to 321 Exercises
366
CHAPTER VII
367
373
372
The possibility of a Sorites in a Figure other than the First
373
Ultratotal Distribution of the Middle Term
376
The Quantification of the Predicate and the Syllogism
378
Table of valid moods resulting from the recognition of Y and in addition to A E I
381
Formal Inferences not reducible to ordinary Syllogisms
384
to 341 Exercises
388
CHAPTER VIII
390
Connexion between the truth and falsity of premisses and conclusion in a valid syllogism
394
Arguments from the truth of one premiss and the falsity of the other premiss in a valid syllogism or from the falsity of one premiss to the truth of the ...
396
Numerical Moods of the Syllogism
400
to 375 Exercises
403
THE CHARACTERISTICS OF INFERENCE
413
The Direct Import and the Implications of a Proposition
420
CHAPTER X
431
396
435
400
437
403
438
APPENDIX
441
APPENDIX
450
The Sophism of The Liar
457
A GENERALISATION OF LOGICAL PROCESSES
468
Laws of Development and Reduction
474
The Opposition of Compound Propositions
480
The Omission of Terms from Complex Propositions
486
IMMEDIATE INFERENCES FROM COMPLEX PROPOSITIONS SECTION PAGE 454 The obversion of Complex Propositions
488
The Conversion of Complex Propositions
489
The Contraposition of Complex Propositions
490
Summary of the results obtainable by Obversion Conversion and Contraposition
493
to 473 Exercises
494
460
495
CHAPTER IV
498
The Conjunctive Combination of Universal Negatives
499
The Conjunctive Combination of Universals with Particulars of the same Quality
500
The Conjunctive Combination of Affirmatives with Negatives
501
The Alternative Combination of Universal Propositions
502
to 486 Exercises
503
CHAPTER V
504
Information jointly afforded by a series of universal propo sitions with regard to any given term
506
The Problem of Elimination
508
Elimination from Universal Affirmatives
509
Elimination from Universal Negatives
510
Elimination from Particular Affirmatives
511
to 533 Exercises
512
THE INVERSE PROBLEM
525
A Third Method of Solution of the Inverse Problem
531
Scheme of Assertoric and Modal Propositions
539
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