Logic

Logic

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Title: Logic Deductive and Inductive
Author: Carveth Read
Release Date: May 23, 2006 [EBook #18440]
Language: English
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LOGIC
DEDUCTIVE AND INDUCTIVE

First Edition, June 1898. (Grant Richards.) Second Edition, November

1901. (Grant Richards.) Third Edition, January 1906. (A. Moring Ltd.)
Reprinted, January 1908. (A. Moring Ltd.) Reprinted, May 1909. (A.
Moring Ltd.) Reprinted, July 1910. (A. Moring Ltd.) Reprinted,
September 1911. (A. Moring Ltd.) Reprinted, November 1912. (A.
Moring Ltd.) Reprinted, April 1913. (A. Moring Ltd.) Reprinted, May
1920. (Simpkin.)

LOGIC
DEDUCTIVE AND INDUCTIVE
BY
CARVETH READ, M.A.
AUTHOR OF
"THE METAPHYSICS OF NATURE"
"NATURAL AND SOCIAL MORALS"
ETC.
FOURTH EDITION
ENLARGED, AND PARTLY REWRITTEN
SIMPKIN, MARSHALL, HAMILTON, KENT & CO. LTD., 4
STATIONERS' HALL COURT. LONDON, E.C.4

[Transcriber's Note: The mathematical operator "therefore" is
represented below by .'.]
PREFACE
In this edition of my Logic, the text has been revised throughout,

several passages have been rewritten, and some sections added. The
chief alterations and additions occur in cc. i., v., ix., xiii., xvi., xvii., xx.
The work may be considered, on the whole, as attached to the school of
Mill; to whose System of Logic, and to Bain's Logic, it is deeply
indebted. Amongst the works of living writers, the Empirical Logic of
Dr. Venn and the Formal Logic of Dr. Keynes have given me most
assistance. To some others acknowledgments have been made as
occasion arose.
For the further study of contemporary opinion, accessible in English,
one may turn to such works as Mr. Bradley's Principles of Logic, Dr.
Bosanquet's Logic; or the Morphology of Knowledge, Prof. Hobhouse's
Theory of Knowledge, Jevon's Principles of Science, and Sigwart's
Logic. Ueberweg's Logic, and History of Logical Doctrine is invaluable
for the history of our subject. The attitude toward Logic of the
Pragmatists or Humanists may best be studied in Dr. Schiller's Formal
Logic, and in Mr. Alfred Sidgwick's Process of Argument and recent
Elementary Logic. The second part of this last work, on the "Risks of
Reasoning," gives an admirably succinct account of their position. I
agree with the Humanists that, in all argument, the important thing to
attend to is the meaning, and that the most serious difficulties of
reasoning occur in dealing with the matter reasoned about; but I find
that a pure science of relation has a necessary place in the system of
knowledge, and that the formulæ known as laws of contradiction,
syllogism and causation are useful guides in the framing and testing of
arguments and experiments concerning matters of fact. Incisive
criticism of traditionary doctrines, with some remarkable
reconstructions, may be read in Dr. Mercier's New Logic.
In preparing successive editions of this book, I have profited by the
comments of my friends: Mr. Thomas Whittaker, Prof. Claude
Thompson, Dr. Armitage Smith, Mr. Alfred Sidgwick, Dr. Schiller,
Prof. Spearman, and Prof. Sully, have made important suggestions; and
I might have profited more by them, if the frame of my book, or my
principles, had been more elastic.
As to the present edition, useful criticisms have been received from Mr.

S.C. Dutt, of Cotton College, Assam, and from Prof. M.A. Roy, of
Midnapore; and, especially, I must heartily thank my colleague, Dr.
Wolf, for communications that have left their impress upon nearly
every chapter.
CARVETH READ.
LONDON, August, 1914

CONTENTS
PAGE
PREFACE v
CHAPTER I
INTRODUCTORY
§1. Definition of Logic 1 §2. General character of proof 2 §3. Division
of the subject 5 §4. Uses of Logic 6 §5. Relation of Logic to other
sciences 8 to Mathematics (p. 8); to concrete Sciences (p. 10); to
Metaphysics (p. 10); to regulative sciences (p. 11) §6. Schools of
Logicians 11 Relation to Psychology (p. 13)
CHAPTER II
GENERAL ANALYSIS OF PROPOSITIONS
§1. Propositions and Sentences 16 §2. Subject, Predicate and Copula 17
§3. Compound Propositions 17 §4. Import of Propositions 19 §5. Form
and Matter 22 §6. Formal and Material Logic 23 §7. Symbols used in
Logic 24
CHAPTER III
OF TERMS AND THEIR DENOTATION

§1. Some Account of Language necessary 27 §2. Logic, Grammar and
Rhetoric 28 §3. Words are Categorematic or Syncategorematic 29 §4.
Terms Concrete or Abstract 30 §5. Concrete Terms, Singular, General
or Collective 33
CHAPTER IV
THE CONNOTATION OF TERMS
§1. Connotation of General Names 37 §2. Question of Proper Names
38 other Singular Names (p. 40) §3. Question of