The Project Gutenberg eBook of A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
Title: A System of Logic: Ratiocinative and Inductive, 7th Edition, Vol. I
Author: John Stuart Mill
Release date: February 27, 2011 [eBook #35420]
Most recently updated: January 7, 2021
Language: English
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A
SYSTEM OF LOGIC
RATIOCINATIVE AND INDUCTIVE
VOL. I.
A
SYSTEM OF LOGIC
RATIOCINATIVE AND INDUCTIVE
PRINCIPLES OF EVIDENCE
AND THE
METHODS OF SCIENTIFIC INVESTIGATION
VOL. I.
LONDON:
LONGMANS, GREEN, READER, AND DYER
MDCCCLXVIII
PREFACE TO THE FIRST EDITION.
This book makes no pretence of giving to the world a new theory of the intellectual operations. Its claim to attention, if it possess any, is grounded on the fact that it is an attempt not to supersede, but to embody and systematize, the best ideas which have been either promulgated on its subject by speculative writers, or conformed to by accurate thinkers in their scientific inquiries.
To cement together the detached fragments of a subject, never yet treated as a whole; to harmonize the true portions of discordant theories, by supplying the links of thought necessary to connect them, and by disentangling them from the errors with which they are always more or less interwoven; must necessarily require a considerable amount of original speculation. To other originality than this, the present work lays no claim. In the existing state of the cultivation of the sciences, there would be a very strong presumption against any one who should imagine that he had effected a revolution in the theory of the investigation of truth, or added any fundamentally new process to the practice of it. The improvement which remains to be effected in the methods of philosophizing (and the author believes that they have much need of improvement) can only consist in performing, more systematically and accurately, operations with which, at least in their elementary form, the human intellect in some one or other of its employments is already familiar.
In the portion of the work which treats of Ratiocination, the author has not deemed it necessary to enter into technical details which may be obtained in so perfect a shape from the existing treatises on what is termed the Logic of the Schools. In the contempt entertained by many modern philosophers for the syllogistic art, it will be seen that he by no means participates; though the scientific theory on which its defence is usually rested appears to him erroneous: and the view which he has suggested of the nature and functions of the Syllogism may, perhaps, afford the means of conciliating the principles of the art with as much as is well grounded in the doctrines and objections of its assailants.
The same abstinence from details could not be observed in the First Book, on Names and Propositions; because many useful principles and distinctions which were contained in the old Logic, have been gradually omitted from the writings of its later teachers; and it appeared desirable both to revive these, and to reform and rationalize the philosophical foundation on which they stood. The earlier chapters of this preliminary Book will consequently appear, to some readers, needlessly elementary and scholastic. But those who know in what darkness the nature of our knowledge, and of the processes by which it is obtained, is often involved by a confused apprehension of the import of the different classes of Words and Assertions, will not regard these discussions as either frivolous, or irrelevant to the topics considered in the later Books.
On the subject of Induction, the task to be performed was that of generalizing the modes of investigating truth and estimating evidence, by which so many important and recondite laws of nature have, in the various sciences, been aggregated to the stock of human knowledge. That this is not a task free from difficulty may be presumed from the fact, that even at a very recent period, eminent writers (among whom it is sufficient to name Archbishop Whately, and the author of a celebrated article on Bacon in the Edinburgh Review) have not scrupled to pronounce it impossible.[1] The author has endeavoured to combat their theory in the manner in which Diogenes confuted the sceptical reasonings against the possibility of motion; remembering that Diogenes' argument would have been equally conclusive, though his individual perambulations might not have extended beyond the circuit of his own tub.
Whatever may be the value of what the author has succeeded in effecting on this branch of his subject, it is a duty to acknowledge that for much of it he has been indebted to several important treatises, partly historical and partly philosophical, on the generalities and processes of physical science, which have been published within the last few years. To these treatises, and to their authors, he has endeavoured to do justice in the body of the work. But as with one of these writers, Dr. Whewell, he has occasion frequently to express differences of opinion, it is more particularly incumbent on him in this place to declare, that without the aid derived from the facts and ideas contained in that gentleman's History of the Inductive Sciences, the corresponding portion of this work would probably not have been written.
The concluding Book is an attempt to contribute towards the solution of a question, which the decay of old opinions, and the agitation that disturbs European society to its inmost depths, render as important in the present day to the practical interests of human life, as it must at all times be to the completeness of our speculative knowledge: viz. Whether moral and social phenomena are really exceptions to the general certainty and uniformity of the course of nature; and how far the methods, by which so many of the laws of the physical world have been numbered among truths irrevocably acquired and universally assented to, can be made instrumental to the formation of a similar body of received doctrine in moral and political science.
PREFACE TO THE THIRD AND FOURTH EDITIONS.
Several criticisms, of a more or less controversial character, on this work, have appeared since the publication of the second edition; and Dr. Whewell has lately published a reply to those parts of it in which some of his opinions were controverted.[2]
I have carefully reconsidered all the points on which my conclusions have been assailed. But I have not to announce a change of opinion on any matter of importance. Such minor oversights as have been detected, either by myself or by my critics, I have, in general silently, corrected: but it is not to be inferred that I agree with the objections which have been made to a passage, in every instance in which I have altered or cancelled it. I have often done so, merely that it might not remain a stumbling-block, when the amount of discussion necessary to place the matter in its true light would have exceeded what was suitable to the occasion.
To several of the arguments which have been urged against me, I have thought it useful to reply with some degree of minuteness; not from any taste for controversy, but because the opportunity was favourable for placing my own conclusions, and the grounds of them, more clearly and completely before the reader. Truth, on these subjects, is militant, and can only establish itself by means of conflict. The most opposite opinions can make a plausible show of evidence while each has the statement of its own case; and it is only possible to ascertain which of them is in the right, after hearing and comparing what each can say against the other, and what the other can urge in its defence.
Even the criticisms from which I most dissent have been of great service to me, by showing in what places the exposition most needed to be improved, or the argument strengthened. And I should have been well pleased if the book had undergone a much greater amount of attack; as in that case I should probably have been enabled to improve it still more than I believe I have now done.
In the subsequent editions, the attempt to improve the work by additions and corrections, suggested by criticism or by thought, has been continued. In the present (seventh) edition, a few further corrections have been made, but no material additions.
FOOTNOTES:
[1] In the later editions of Archbishop Whately's Logic, he states his meaning to be, not that "rules" for the ascertainment of truths by inductive investigation cannot be laid down, or that they may not be "of eminent service," but that they "must always be comparatively vague and general, and incapable of being built up into a regular demonstrative theory like that of the Syllogism." (Book IV. ch. iv. § 3.) And he observes, that to devise a system for this purpose, capable of being "brought into a scientific form," would be an achievement which "he must be more sanguine than scientific who expects." (Book IV. ch. ii. § 4.) To effect this, however, being the express object of the portion of the present work which treats of Induction, the words in the text are no overstatement of the difference of opinion between Archbishop Whately and me on the subject.
[2] Now forming a chapter in his volume on The Philosophy of Discovery.
CONTENTS
OF
THE FIRST VOLUME.
| § 1. | A definition at the commencement of a subject must be provisional | 1 |
| 2. | Is logic the art and science of reasoning? | 2 |
| 3. | Or the art and science of the pursuit of truth? | 3 |
| 4. | Logic is concerned with inferences, not with intuitive truths | 5 |
| 5. | Relation of logic to the other sciences | 8 |
| 6. | Its utility, how shown | 10 |
| 7. | Definition of logic stated and illustrated | 11 |
BOOK I. OF NAMES AND PROPOSITIONS. | ||
Chapter I. Of the Necessity of commencing with an
Analysis of Language. | ||
| § 1. | Theory of names, why a necessary part of logic | 17 |
| 2. | First step in the analysis of Propositions | 18 |
| 3. | Names must be studied before Things | 21 |
Chapter II. Of Names. | ||
| § 1. | Names are names of things, not of our ideas | 23 |
| 2. | Words which are not names, but parts of names | 24 |
| 3. | General and Singular names | 26 |
| 4. | Concrete and Abstract | 29 |
| 5. | Connotative and Non-connotative | 31 |
| 6. | Positive and Negative | 42 |
| 7. | Relative and Absolute | 44 |
| 8. | Univocal and Æquivocal | 47 |
Chapter III. Of the Things denoted by Names. | ||
| § 1. | Necessity of an enumeration of Nameable Things. The Categories of Aristotle | 49 |
| 2. | Ambiguity of the most general names | 51 |
| 3. | Feelings, or states of consciousness | 54 |
| 4. | Feelings must be distinguished from their physical antecedents. Perceptions, what | 56 |
| 5. | Volitions, and Actions, what | 58 |
| 6. | Substance and Attribute | 59 |
| 7. | Body | 61 |
| 8. | Mind | 67 |
| 9. | Qualities | 69 |
| 10. | Relations | 72 |
| 11. | Resemblance | 74 |
| 12. | Quantity | 78 |
| 13. | All attributes of bodies are grounded on states of consciousness | 79 |
| 14. | So also all attributes of mind | 80 |
| 15. | Recapitulation | 81 |
Chapter IV. Of Propositions. | ||
| § 1. | Nature and office of the copula | 85 |
| 2. | Affirmative and Negative propositions | 87 |
| 3. | Simple and Complex | 89 |
| 4. | Universal, Particular, and Singular | 93 |
Chapter V. Of the Import of Propositions. | ||
| § 1. | Doctrine that a proposition is the expression of a relation between two ideas | 96 |
| 2. | Doctrine that it is the expression of a relation between the meanings of two names | 99 |
| 3. | Doctrine that it consists in referring something to, or excluding something from, a class | 103 |
| 4. | What it really is | 107 |
| 5. | It asserts (or denies) a sequence, a coexistence, a simple existence, a causation | 110 |
| 6. | —or a resemblance | 112 |
| 7. | Propositions of which the terms are abstract | 115 |
Chapter VI. Of Propositions merely Verbal. | ||
| § 1. | Essential and Accidental propositions | 119 |
| 2. | All essential propositions are identical propositions | 120 |
| 3. | Individuals have no essences | 124 |
| 4. | Real propositions, how distinguished from verbal | 126 |
| 5. | Two modes of representing the import of a Real proposition | 127 |
Chapter VII. Of the Nature of Classification, and
the Five Predicables. | ||
| § 1. | Classification, how connected with Naming | 129 |
| 2. | The Predicables, what | 131 |
| 3. | Genus and Species | 131 |
| 4. | Kinds have a real existence in nature | 134 |
| 5. | Differentia | 139 |
| 6. | Differentiæ for general purposes, and differentiæ for special or technical purposes | 141 |
| 7. | Proprium | 144 |
| 8. | Accidens | 146 |
Chapter VIII. Of Definition. | ||
| § 1. | A definition, what | 148 |
| 2. | Every name can be defined, whose meaning is susceptible of analysis | 150 |
| 3. | Complete, how distinguished from incomplete definitions | 152 |
| 4. | —and from descriptions | 154 |
| 5. | What are called definitions of Things, are definitions of Names with an implied assumption of the existence of Things corresponding to them | 157 |
| 6. | —even when such things do not in reality exist | 165 |
| 7. | Definitions, though of names only, must be grounded on knowledge of the corresponding Things | 167 |
BOOK II. OF REASONING. | ||
Chapter I. Of Inference, or Reasoning, in general. | ||
| § 1. | Retrospect of the preceding book | 175 |
| 2. | Inferences improperly so called | 177 |
| 3. | Inferences proper, distinguished into inductions and ratiocinations | 181 |
Chapter II. Of Ratiocination, or Syllogism. | ||
| § 1. | Analysis of the Syllogism | 184 |
| 2. | The dictum de omni not the foundation of reasoning, but a mere identical proposition | 191 |
| 3. | What is the really fundamental axiom of Ratiocination | 196 |
| 4. | The other form of the axiom | 199 |
Chapter III. Of the Functions, and Logical Value, of the
Syllogism. | ||
| § 1. | Is the syllogism a petitio principii? | 202 |
| 2. | Insufficiency of the common theory | 203 |
| 3. | All inference is from particulars to particulars | 205 |
| 4. | General propositions are a record of such inferences, and the rules of the syllogism are rules for the interpretation of the record | 214 |
| 5. | The syllogism not the type of reasoning, but a test of it | 218 |
| 6. | The true type, what | 222 |
| 7. | Relation between Induction and Deduction | 226 |
| 8. | Objections answered | 227 |
| 9. | Of Formal Logic, and its relation to the Logic of Truth | 231 |
Chapter IV. Of Trains of Reasoning, and Deductive
Sciences. | ||
| § 1. | For what purpose trains of reasoning exist | 234 |
| 2. | A train of reasoning is a series of inductive inferences | 234 |
| 3. | —from particulars to particulars through marks of marks | 237 |
| 4. | Why there are deductive sciences | 240 |
| 5. | Why other sciences still remain experimental | 244 |
| 6. | Experimental sciences may become deductive by the progress of experiment | 246 |
| 7. | In what manner this usually takes place | 247 |
Chapter V. Of Demonstration, and Necessary Truths. | ||
| § 1. | The Theorems of geometry are necessary truths only in the sense of necessarily following from hypotheses | 251 |
| 2. | Those hypotheses are real facts with some of their circumstances exaggerated or omitted | 255 |
| 3. | Some of the first principles of geometry are axioms, and these are not hypothetical | 256 |
| 4. | —but are experimental truths | 258 |
| 5. | An objection answered | 261 |
| 6. | Dr. Whewell's opinions on axioms examined | 264 |
Chapter VI. The same Subject continued. | ||
| § 1. | All deductive sciences are inductive | 281 |
| 2. | The propositions of the science of number are not verbal, but generalizations from experience | 284 |
| 3. | In what sense hypothetical | 289 |
| 4. | The characteristic property of demonstrative science is to be hypothetical | 290 |
| 5. | Definition of demonstrative evidence | 292 |
Chapter VII. Examination of some Opinions opposed to
the preceding doctrines. | ||
| § 1. | Doctrine of the Universal Postulate | 294 |
| 2. | The test of inconceivability does not represent the aggregate of past experience | 296 |
| 3. | —nor is implied in every process of thought | 299 |
| 4. | Sir W. Hamilton's opinion on the Principles of Contradiction and Excluded Middle | 306 |
BOOK III. OF INDUCTION. | ||
Chapter I. Preliminary Observations on Induction in general. | ||
| § 1. | Importance of an Inductive Logic | 313 |
| 2. | The logic of science is also that of business and life | 314 |
Chapter II. Of Inductions improperly so called. | ||
| § 1. | Inductions distinguished from verbal transformations | 319 |
| 2. | —from inductions, falsely so called, in mathematics | 321 |
| 3. | —and from descriptions | 323 |
| 4. | Examination of Dr. Whewell's theory of Induction | 326 |
| 5. | Further illustration of the preceding remarks | 336 |
Chapter III. On the Ground of Induction. | ||
| § 1. | Axiom of the uniformity of the course of nature | 341 |
| 2. | Not true in every sense. Induction per enumerationem simplicem | 346 |
| 3. | The question of Inductive Logic stated | 348 |
Chapter IV. Of Laws of Nature. | ||
| § 1. | The general regularity in nature is a tissue of partial regularities, called laws | 351 |
| 2. | Scientific induction must be grounded on previous spontaneous inductions | 355 |
| 3. | Are there any inductions fitted to be a test of all others? | 357 |
Chapter V. Of the Law of Universal Causation. | ||
| § 1. | The universal law of successive phenomena is the Law of Causation | 360 |
| 2. | —i.e. the law that every consequent has an invariable antecedent | 363 |
| 3. | The cause of a phenomenon is the assemblage of its conditions | 365 |
| 4. | The distinction of agent and patient illusory | 373 |
| 5. | The cause is not the invariable antecedent, but the unconditional invariable antecedent | 375 |
| 6. | Can a cause be simultaneous with its effect? | 380 |
| 7. | Idea of a Permanent Cause, or original natural agent | 383 |
| 8. | Uniformities of coexistence between effects of different permanent causes, are not laws | 386 |
| 9. | Doctrine that volition is an efficient cause, examined | 387 |
Chapter VI. Of the Composition of Causes. | ||
| § 1. | Two modes of the conjunct action of causes, the mechanical and the chemical | 405 |
| 2. | The composition of causes the general rule; the other case exceptional | 408 |
| 3. | Are effects proportional to their causes? | 412 |
Chapter VII. Of Observation and Experiment. | ||
| § 1. | The first step of inductive inquiry is a mental analysis of complex phenomena into their elements | 414 |
| 2. | The next is an actual separation of those elements | 416 |
| 3. | Advantages of experiment over observation | 417 |
| 4. | Advantages of observation over experiment | 420 |
Chapter VIII. Of the Four Methods of Experimental
Inquiry. | ||
| § 1. | Method of Agreement | 425 |
| 2. | Method of Difference | 428 |
| 3. | Mutual relation of these two methods | 429 |
| 4. | Joint Method of Agreement and Difference | 433 |
| 5. | Method of Residues | 436 |
| 6. | Method of Concomitant Variations | 437 |
| 7. | Limitations of this last method | 443 |
Chapter IX. Miscellaneous Examples of the Four Methods. | ||
| § 1. | Liebig's theory of metallic poisons | 449 |
| 2. | Theory of induced electricity | 453 |
| 3. | Dr. Wells' theory of dew | 457 |
| 4. | Dr. Brown-Séquard's theory of cadaveric rigidity | 465 |
| 5. | Examples of the Method of Residues | 471 |
| 6. | Dr. Whewell's objections to the Four Methods | 475 |
Chapter X. Of Plurality of Causes; and of the Intermixture
of Effects. | ||
| § 1. | One effect may have several causes | 482 |
| 2. | —which is the source of a characteristic imperfection of the Method of Agreement | 483 |
| 3. | Plurality of Causes, how ascertained | 487 |
| 4. | Concurrence of Causes which do not compound their effects | 489 |
| 5. | Difficulties of the investigation, when causes compound their effects | 494 |
| 6. | Three modes of investigating the laws of complex effects | 499 |
| 7. | The method of simple observation inapplicable | 500 |
| 8. | The purely experimental method inapplicable | 501 |
Chapter XI. Of the Deductive Method. | ||
| § 1. | First stage; ascertainment of the laws of the separate causes by direct induction | 507 |
| 2. | Second stage; ratiocination from the simple laws of the complex cases | 512 |
| 3. | Third stage; verification by specific experience | 514 |
Chapter XII. Of the Explanation of Laws of Nature. | ||
| § 1. | Explanation defined | 518 |
| 2. | First mode of explanation, by resolving the law of a complex effect into the laws of the concurrent causes and the fact of their coexistence | 518 |
| 3. | Second mode; by the detection of an intermediate link in the sequence | 519 |
| 4. | Laws are always resolved into laws more general than themselves | 520 |
| 5. | Third mode; the subsumption of less general laws under a more general one | 524 |
| 6. | What the explanation of a law of nature amounts to | 526 |
Chapter XIII. Miscellaneous Examples of the Explanation of
Laws of Nature. | ||
| § 1. | The general theories of the sciences | 529 |
| 2. | Examples from chemical speculations | 531 |
| 3. | Example from Dr. Brown-Séquard's researches on the nervous system | 533 |
| 4. | Examples of following newly-discovered laws into their complex manifestations | 534 |
| 5. | Examples of empirical generalizations, afterwards confirmed and explained deductively | 536 |
| 6. | Example from mental science | 538 |
| 7. | Tendency of all the sciences to become deductive | 539 |