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 6
Page 16
... inference concerning the relation of a and c ; for if these quantities are equal , they may both differ from b , and 16 THE SUBSTITUTION OF SIMILARS , ARISTOTLE'S DICTUM DE OMNI ET NULLO' 66 THE MODIFIED DICTUM II FALLACIOUS CHARACTER OF.
... inference concerning the relation of a and c ; for if these quantities are equal , they may both differ from b , and 16 THE SUBSTITUTION OF SIMILARS , ARISTOTLE'S DICTUM DE OMNI ET NULLO' 66 THE MODIFIED DICTUM II FALLACIOUS CHARACTER OF.
Page 17
... differ from b , and so they may if they are unequal . The axiom of Euclid thus requires to be supplemented by two other axioms , which can only be expressed in somewhat awkward language , as follows : - If the first of three things be ...
... differ from b , and so they may if they are unequal . The axiom of Euclid thus requires to be supplemented by two other axioms , which can only be expressed in somewhat awkward language , as follows : - If the first of three things be ...
Page 35
... differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by complex conception closely resembles the preceding D 2 THE TRUE PRINCIPLE OF REASONING . 35.
... differs only from the conclusion as stated by Dr. Thomson by containing the qualification negro in the second member . 33. Immediate inference by complex conception closely resembles the preceding D 2 THE TRUE PRINCIPLE OF REASONING . 35.
Page 39
... differ from B , so that it is a matter of indifference whether we say that A differs from B and is ex- cluded from the class B , or that it agrees with band is included in the class b . There are advantages , however , in employing the ...
... differ from B , so that it is a matter of indifference whether we say that A differs from B and is ex- cluded from the class B , or that it agrees with band is included in the class b . There are advantages , however , in employing the ...
Page 41
... differs from A differs from B , and whatever differs from B differs from A. Now the term b denotes what differs from B , and a denotes what differs from A ; so that from the single original proposition we may draw the two propositions ...
... differs from A differs from B , and whatever differs from B differs from A. Now the term b denotes what differs from B , and a denotes what differs from A ; so that from the single original proposition we may draw the two propositions ...
Other editions - View all
Common terms and phrases
A B C D abacus ABCD adjective affirmative proposition analogy appear apply Aristotle Aristotle's dictum assert axiom axiom of Euclid Boole Boole's calculus Cambridge canon cloth conclusion consists copula corresponding Crown 8vo differs Diseases ELEMENTARY TREATISE equal equal-sided equivalent expression fallacy fcap follows form of inference forms of reasoning formula George Bentham hence identity indefinite indirect inequalities infallible Iron J. S. Mill law of duality laws of thought Lectures ledge logicians mathematical reasoning means ment metals are elements method mind monarch nature negative proposition obtained Owens College oxygen Philosophy pound weight premises principle of substitution Professor proposition or equation quantification quantity relation represented Royal scientific Second Edition second member self-evident self-luminous Sir William Hamilton slips subject and predicate substitution of similars syllogism symbols term element THEORY Thomson tion triangle true truth undecomposable substance University University of Cambridge
Popular passages
Page 4 - Jackson. — GEOMETRICAL CONIC SECTIONS. An Elementary Treatise in which the Conic Sections are defined as the Plane Sections of a Cone, and treated by the Method of Projection. By J. STUART JACKSON, MA, late Fellow of Gonville and Caius College, Cambridge.
Page 4 - AN ELEMENTARY TREATISE ON THE LUNAR THEORY, with a Brief Sketch of the Problem up to the time of Newton. Second Edition, revised. Crown 8vo. cloth. 5*. 6d. Hemming. — AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use; of Colleges and Schools.
Page 6 - New Edition. Crown 8vo. $s. KEY TO PLANE TRIGONOMETRY. Crown 8vo. los. 6d. A TREATISE ON SPHERICAL TRIGONOMETRY. New Edition, enlarged. Crown 8vo. 4-?. 6d. PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples.
Page 4 - HEMMING— AN ELEMENTARY TREATISE ON THE DIFFERENTIAL AND INTEGRAL CALCULUS, for the Use of Colleges and Schools. By GW HEMMING, MA, Fellow of St. John's College, Cambridge. Second Edition, with Corrections and Additions. 8vo.
Page 24 - AN INTRODUCTION TO ARISTOTLE'S RHETORIC. With Analysis, Notes, and Appendices. By EM COPE, Fellow and Tutor of Trinity College, Cambridge. 8vo.
Page 5 - Morgan. — A COLLECTION OF PROBLEMS AND EXAMPLES IN MATHEMATICS. With Answers. By HA MORGAN, MA , Sadlerian and Mathematical Lecturer of Jesus College, Cambridge.
Page 20 - Flower (WH) — AN INTRODUCTION TO THE OSTEOLOGY OF THE MAMMALIA. Being the Substance of the Course of Lectures delivered at the Royal College of Surgeons of England in 1870.
Page 17 - The book is full of interesting matter, and is written by a master of the art of popular exposition. It is excellently illustrated, both coloured maps and woodcuts possessing high merit. Those who have already become interested in dredging operations will of course make a point of reading this work ; those...
Page 26 - This work is distinguished from other similar ones by its being based upon a thorough study of physical science, and an accurate knowledge of its present condition, and by its entering in a deeper and more unfettered manner than its predecessors upon the discussion of the appropriate psychological, ethical, and theological questions. The author keeps aloof at once from the a priori idealism and dreaminess of German speculation since Schelling, and from the onesidedness and narrowness of the empiricism...
Page 25 - W. ARCHER BUTLER, late Professor of Moral Philosophy in the University of Dublin. Edited from the Author's MSS., with Notes, by WILLIAM HEPWORTH THOMPSON, MA, Master of Trinity College, and Regius Professor of Greek in the University of Cambridge.