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 17
... 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 equal to the second , but the second be unequal to the third , the first is ...
... 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 equal to the second , but the second be unequal to the third , the first is ...
Page 49
... require is the description of the term not - B or b ; and by the law of duality this is , in the first place , either A or not - A : ( 2 ) b = Ab | ab . E Substituting for A in ( 2 ) its value as THE TRUE PRINCIPLE OF REASONING . 49.
... require is the description of the term not - B or b ; and by the law of duality this is , in the first place , either A or not - A : ( 2 ) b = Ab | ab . E Substituting for A in ( 2 ) its value as THE TRUE PRINCIPLE OF REASONING . 49.
Page 57
... require the description of Socrates , or A , we take the only combination containing A , and ob- serve that it is joined with C : hence the Aristotelian conclusion , Socrates is mortal . We may also get any other possible conclusion ...
... require the description of Socrates , or A , we take the only combination containing A , and ob- serve that it is joined with C : hence the Aristotelian conclusion , Socrates is mortal . We may also get any other possible conclusion ...
Page 59
... a proposition . " 53. In the last paragraph I alluded to a further mechanical contrivance , in which the combination- slips of the abacus should not require to be moved THE TRUE PRINCIPLE OF REASONING . 59 THE LOGICAL MACHINE.
... a proposition . " 53. In the last paragraph I alluded to a further mechanical contrivance , in which the combination- slips of the abacus should not require to be moved THE TRUE PRINCIPLE OF REASONING . 59 THE LOGICAL MACHINE.
Page 60
... require to be moved by hand , but could be placed in proper order by the successive pressure of a series of keys or handles . I have since made a successful working model of this contrivance , which may be considered a machine capable ...
... require to be moved by hand , but could be placed in proper order by the successive pressure of a series of keys or handles . I have since made a successful working model of this contrivance , which may be considered a machine capable ...
Other editions - View all
Common terms and phrases
abacus ABCD adapted Algebra appended applied Aristotle Arithmetic arranged ATHENÆUM axiom BEGINNERS Bible Boole Calculus Cambridge canon chapter Christ's College CLASS-BOOK cloth combinations Conic Sections consists contains Crown 8vo dictum Education ELEMENTARY TREATISE endeavoured English equal equation Examination Papers exercises Extra fcap formulæ Fourth Edition Geometry George Bentham give Globe 8vo Grammar Greek Head Master Heir of Redclyffe identity illustrations inference Introduction Iron John's College language late Fellow Latin Laws of Thought Lecturer ledge LESSONS logical logicians manual Maps mathematical metals are elements method Metric System Notes numerous Examples ordinary Owens College predicate premises present principles problems Professor proposition pupil R. C. JEBB reader relation Royal Schools Second Edition selected slips student substitution of similars syllogism teachers Testament text-book theory Third Edition tion translation Trigonometry University University of Cambridge Uppingham School volume words
Popular passages
Page 13 - Astronomer Royal :— ELEMENTARY TREATISE ON PARTIAL DIFFERENTIAL EQUATIONS. Designed for the Use of Students in the Universities. With Diagrams. Second Edition. Crown 8vo. $s. 6d. ON THE ALGEBRAICAL AND NUMERICAL THEORY OF ERRORS OF OBSERVATIONS AND THE COMBINATION OF OBSERVATIONS.
Page 14 - ON SOUND AND ATMOSPHERIC VIBRATIONS. With the Mathematical Elements of Music. Designed for the Use of Students in the University. Second Edition, Revised and Enlarged. Crown 8vo.
Page 9 - 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.
Page 70 - Friends," with briefer Notes. i8mo. 3*. 6d. GREEK TESTAMENT. Edited, with Introduction and Appendices, by CANON WESTCOTT and Dr. FJA HORT. Two Vols. Crown 8vo. [/« the press. HARDWICK — Works by Archdeacon HARDWICK. A HISTORY OF THE CHRISTIAN CHURCH. Middle Age. From Gregory the Great to the Excommunication of Luther. Edited by WILLIAM STUBBS, MA, Regius Professor of Modern History in the University of Oxford. With Four Maps constructed for this work by A. KEITH JOHNSTON.
Page 4 - HODGSON -MYTHOLOGY FOR LATIN VERSIFICATION. A brief Sketch of the Fables of the Ancients, prepared to be rendered into Latin Verse for Schools. By F. HODGSON, BD, late Provost of Eton. New Edition, revised by FC HODGSON, MA i8mo. 3*.
Page 77 - 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.
Page 38 - PLANE CO-ORDINATE GEOMETRY, as applied to the Straight Line and the Conic Sections. With numerous Examples. Fourth Edition, revised and enlarged. Crown 8vo. cloth.
Page 24 - 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. cloth. 2s. " There is no book in common use from which so cleat and exact a knmtiledge of the principles of the Calculus can be so readily obtained.
Page 59 - PYLODET— NEW GUIDE TO GERMAN CONVERSATION: containing an Alphabetical List of nearly 800 Familiar Words followed by Exercises, Vocabulary of Words in frequent use ; Familiar Phrases and Dialogues ; a Sketch of German Literature, Idiomatic Expressions, &c. By L. PYLODET.
Page 27 - Prelector of St. John's College, Cambridge. AN ELEMENTARY TREATISE ON MECHANICS. For the Use of the Junior Classes at the University and the Higher Classes in Schools.