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 12
Page 9
... et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de nullo valet , nec de quibusdam nec de singulis valet . In English these dicta are usually stated some- what as THE TRUE PRINCIPLE OF REASONING . 9.
... et singulis . And the corresponding Dictum de nullo is similarly- Quicquid de nullo valet , nec de quibusdam nec de singulis valet . In English these dicta are usually stated some- what as THE TRUE PRINCIPLE OF REASONING . 9.
Page 11
... corresponding manner , the postulate according to which the proposition is to be em- ployed ? Ought we not now to say that whatever is known of either term of the proposition is known and may be asserted of the other ? Does not the ...
... corresponding manner , the postulate according to which the proposition is to be em- ployed ? Ought we not now to say that whatever is known of either term of the proposition is known and may be asserted of the other ? Does not the ...
Page 15
... corresponding parts of mathematical method . All acts of mathematical reasoning may , I believe , be considered but as applications of a corresponding axiom of quantity ; and the force of the axiom may best be illustrated in the first ...
... corresponding parts of mathematical method . All acts of mathematical reasoning may , I believe , be considered but as applications of a corresponding axiom of quantity ; and the force of the axiom may best be illustrated in the first ...
Page 41
... corresponding equation between the negatives of the terms of the original . The general proposition of the form A = B , treated by the fundamental principle of reasoning , informs us that in whatever relation anything stands to A , in ...
... corresponding equation between the negatives of the terms of the original . The general proposition of the form A = B , treated by the fundamental principle of reasoning , informs us that in whatever relation anything stands to A , in ...
Page 57
... corresponding small italic letters then in- dicate the negatives , a = not - Socrates , b = not - man , C = not - mortal , and the premises may be stated as A is B , B is C. " Now take the second set of slips containing all the possible ...
... corresponding small italic letters then in- dicate the negatives , a = not - Socrates , b = not - man , C = not - mortal , and the premises may be stated as A is B , B is C. " Now take the second set of slips containing all the possible ...
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.