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 7
Page 7
... denotes inclusion of the metals among the elements . But the subject only is quantified ; for it is stated that all metals are elements , but it is not stated what proportion of the elements may be metals . Now the quantification of the ...
... denotes inclusion of the metals among the elements . But the subject only is quantified ; for it is stated that all metals are elements , but it is not stated what proportion of the elements may be metals . Now the quantification of the ...
Page 16
... denote the existence of an inequality or difference , then one equality and one inequality , as in a = b s c , enable us to infer an inequality as c . Two inequalities , on the other hand , as in a s b s c do not enable us to make any ...
... denote the existence of an inequality or difference , then one equality and one inequality , as in a = b s c , enable us to infer an inequality as c . Two inequalities , on the other hand , as in a s b s c do not enable us to make any ...
Page 24
... denote the things compared in a logical sense , but the copula or sign of identity may remain as before . Thus the symbols A = B denote the identity of the things represented by the indefinite terms or names A and B. Thus A may be taken ...
... denote the things compared in a logical sense , but the copula or sign of identity may remain as before . Thus the symbols A = B denote the identity of the things represented by the indefinite terms or names A and B. Thus A may be taken ...
Page 30
... denoting A = ABC , some native minerals are elements ; which affords an instance of the syllogism Darii exhibited in exactly the same form as Barbara . 29. The sorites or chain of syllogisms consists but in 30 THE SUBSTITUTION OF SIMILARS ,
... denoting A = ABC , some native minerals are elements ; which affords an instance of the syllogism Darii exhibited in exactly the same form as Barbara . 29. The sorites or chain of syllogisms consists but in 30 THE SUBSTITUTION OF SIMILARS ,
Page 39
... denote by b the quality or fact of differing from B. The term b is in fact the name of the whole class of things , or any of them , which differ from B , so that it is a matter of indifference whether we say that A differs from B and is ...
... denote by b the quality or fact of differing from B. The term b is in fact the name of the whole class of things , or any of them , which differ from B , so that it is a matter of indifference whether we say that A differs from B and is ...
Other editions - View all
Common terms and phrases
A B C D abacus ABCDE affirmative proposition Algebra analogy applied Aristotle ARISTOTLE'S DICTUM ARITHMETIC assert axiom BEGINNERS Bentham Boole Boole's BROOKE FOSS WESTCOTT CALCULUS Cambridge canon Christ's College Church Clifton College cloth combinations conclusion CONIC SECTIONS consists copula Crown 8vo denote EDUCATIONAL BOOKS Edward Thring ELEMENTARY TREATISE English equal Euclid Examination Papers Examples expression Extra fcap fallacy Fellow of St follows forms of reasoning formula GEOMETRY George Bentham Grammar Head Master hence HISTORY identity illustrated indirect inequalities inference Iron J. S. Mill John's College late Fellow Latin law of duality Laws of Thought ledge logicians ment metals are elements method MIXED MATHEMATICS ordinary oxygen predicate premises problem quantification quantity reader represented Schools Second Edition self-evident SHILLING BOOK slips student substitution of similars syllogism symbols System of Logic thing Third Edition tion triangle true undecomposable substance
Popular passages
Page 13 - 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 1 - THE FIRST THREE SECTIONS of NEWTON'S PRINCIPIA. With Notes and Illustrations. Also a Collection of Problems, principally intended as Examples of Newton's Methods. By PERCIVAL FROST, MA, late Fellow of St. John's College, Mathematical Lecturer of King's College, Cambridge.
Page 2 - MORGAN — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA Morgan, MA, Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Page 12 - PSALMS OF DAVID CHRONOLOGICALLY ARRANGED. By Four Friends. An Amended Version, with Historical, Introduction and Explanatory Notes. Second and Cheaper Edition, with Additions and Corrections.
Page 13 - 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. 4to. cloth. 25*. YONGE (CHARLOTTE M.)— SCRIPTURE READINGS FOR SCHOOLS AND FAMILIES. By CHARLOTTE M. YONGE, Author of "The Heir of Redclyffe.
Page 82 - 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 81 - ARISTOTLE.— AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Senior Fellow and Tutor of Trinity College, Cambridge. 8vo. 14^.
Page 86 - ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.