The Substitution of Similars: The True Principle of Reasoning, Derived from a Modification of Aristotle's Dictum |
From inside the book
Results 1-5 of 22
Page 8
... equation of subject and predicate , and the significance of this change will be fully apparent only to those who see that logical science thus acquires a point of contact with mathematical science . Nor is it only in a single point that ...
... equation of subject and predicate , and the significance of this change will be fully apparent only to those who see that logical science thus acquires a point of contact with mathematical science . Nor is it only in a single point that ...
Page 11
... equation of two terms , formerly called the subject and predicate , but which , in becoming equal to each other , cease to be distinguishable as such , and become convertible . Should not logicians have altered , at the same time and in ...
... equation of two terms , formerly called the subject and predicate , but which , in becoming equal to each other , cease to be distinguishable as such , and become convertible . Should not logicians have altered , at the same time and in ...
Page 14
... edifice from the very foundation . 14. I am thus led to take the equation as the fundamental form of reasoning , and to modify THE TRUE PRINCIPLE OF REASONING . OF CALIFORNIA Aristotle's dictum 14 THE SUBSTITUTION OF SIMILARS ,
... edifice from the very foundation . 14. I am thus led to take the equation as the fundamental form of reasoning , and to modify THE TRUE PRINCIPLE OF REASONING . OF CALIFORNIA Aristotle's dictum 14 THE SUBSTITUTION OF SIMILARS ,
Page 16
... equations are apparently necessary in order that an inference may be evolved ; and there is something peculiar about the ... equation no inference at all can be drawn . Thus if we use the sign to denote the existence of an inequality or ...
... equations are apparently necessary in order that an inference may be evolved ; and there is something peculiar about the ... equation no inference at all can be drawn . Thus if we use the sign to denote the existence of an inequality or ...
Page 17
... equation a b , the second equation b c being that in which substitution is C = effected . One equation is active and the other is THE TRUE PRINCIPLE OF REASONING . 17.
... equation a b , the second equation b c being that in which substitution is C = effected . One equation is active and the other is THE TRUE PRINCIPLE OF REASONING . 17.
Other editions - View all
Common terms and phrases
A B C D abacus ABCD adjective affirmative proposition Algebra analogy Aristotle Aristotle's dictum assert axiom axiom of Euclid Boole Boole's BROOKE FOSS WESTCOTT calculus Cambridge canon cloth conclusion copula Crown 8vo differs Edward Thring ELEMENTARY TREATISE English equal equal-sided equivalent Euclid example expression Extra fcap fallacy Fcap follows form of inference forms of reasoning formula George Bentham Grammar Greek hence identity illustrated indefinite indirect inequalities infallible Iron J. S. Mill John's College late Fellow law of duality laws of thought ledge logicians means ments metals are elements method monarch negative proposition obtain ordinary oxygen planet pound weight premises PRINCIPLE OF REASONING principle of substitution proposition or equation quantification quantity reader REESE LIBRARY relation represented Schools Second Edition second member self-evident self-luminous slips substitution of similars syllogism symbols thing Third Edition tion triangle truth undecomposable substance
Popular passages
Page 85 - ARISTOTLE— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge, 8vo. 14*.
Page 8 - Prize Essay for 1877. 8vo. &r. 6d. SMITH— Works by the Rev. BARNARD SMITH, MA, Rector of Glaston, Rutland, late Fellow and Senior Bursar of St. Peter's College, Cambridge. ARITHMETIC AND ALGEBRA, in their Principles and Application ; with numerous systematically arranged Examples taken from the Cambridge Examination Papers, with especial reference to the Ordinary Examination for the BA Degree.
Page 17 - A GENERAL SURVEY OF THE HISTORY OF THE CANON OF THE NEW TESTAMENT DURING THE fIRST FOUR CENTURIES. Fourth Edition. With Preface on "Supernatural Religion.
Page 86 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools.
Page 7 - PUCKLE— AN ELEMENTARY TREATISE ON CONIC SECTIONS AND ALGEBRAIC GEOMETRY. With Numerous Examples and Hints for their Solution ; especially designed for the Use of Beginners. By GH PUCKLE, MA New Edition, revised and enlarged.
Page 86 - CICERO— THE SECOND PHILIPPIC ORATION. From the German of Karl Halm. Edited, with Corrections and Additions, by JOHN EB MAYOR, Professor of Latin in the University of Cambridge, and Fellow of St.
Page 17 - WILSON — THE BIBLE STUDENT'S GUIDE to the more Correct Understanding of the English Translation of the Old Testament, by reference to the original Hebrew. By WILLIAM WILSON, DD, Canon of Winchester, late Fellow of Queen's College, Oxford. Second Edition, carefully revised. 410. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Page 1 - HELLENICA; OR, A HISTORY OF GREECE IN GREEK, as related by Diodorus and Thucydides ; being a First Greek Reading Book, with explanatory Notes, Critical and Historical.
Page 17 - THE BIBLE IN THE CHURCH. A Popular Account of the Collection and Reception of the Holy Scriptures in the Christian Churches.
Page 1 - THE SEVEN KINGS OF ROME. An Easy Narrative, abridged from the First Book of Livy by the omission of Difficult Passages; being a First Latin Reading Book, with Grammatical Notes and Vocabulary.