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admit affirmative proposition already ambiguity Analytical Propositions animals argument Aristotle assertion Baroko bipeds called Categorical Categorical propositions class of Things clusion coincide comprehension Conclusion Contradictory copula defined denotation Disjunctive proposition distinct Eeal Definition Eeducend Eeduct Syllogism Eetained Premiss employed enumerated Euathlus expressed extension extreme fact fallacy false falsity follows former Fourth Figure Genus gism Hamilton Hence Hypothetical Hypothetical Syllogisms idea identical illicit process immediate inferences imply individual instance invalid Judgment kind latter legitimate Logic Logicians Major Premiss major term meaning middle term minor term mortal negative Premisses objects Obversion Pairs of Premisses Perfect Induction possible prove quantity reader reasoning recognised reduced Reductio ad Impossibile rules Science second figure sense Simple Conversion singular propositions singular term sion Sir William Hamilton Sorites sub-classes Subalternation substituted suppose Suppressed Premiss Syllogistic Synthetical Propositions Third Figure tion treated treatise true truth undistributed middle universal valid Syllogism whole word writers
Page 74 - He who is most hungry eats the most; He who eats least is most hungry; . •. He who eats least eats most.
Page 64 - Fallacies might be stated in the hypothetical form; since the one evidently proceeds from the denial of the antecedent to the denial of the consequent; and the other from the establishing of the consequent to the inferring of the antecedent; which two Fallacies will often be found to correspond respectively with those of Illicit process of the major, and Undistributed middle.
Page 50 - All animals are mortal; All men are animals; All men are mortal.
Page 219 - If ^Eschines joined in the public rejoicings, he is inconsistent ; if he did not, he is unpatriotic; but he either joined, or not, therefore he is either inconsistent or unpatriotic.
Page 61 - Whatever is affirmed or denied of a whole Class, may be affirmed or denied of whatever is comprehended in [any Class that is wholly comprehended in] that Class." This sentence, omitting the portion enclosed in brackets, you will recognize as the " Dictum" originally laid down : and the words in brackets supply that extension of it which makes it applicable to a
Page 75 - Two and three are even and odd ; Two and three are five, Therefore, Five is even and odd.
Page iii - An Outline of the Necessary Laws of Thought; a Treatise on Pure and Applied Logic. By W. THOMSON, DD Crown Svo.
Page 64 - Hence it is not legitimate to argue from the denial of the antecedent to the denial of the consequent.
Page 43 - When the middle term is made the subject of the major premiss, and the predicate of the minor...
Page 55 - ... figure ; (which is far the most natural and clear of all, as to this alone Aristotle's dictum may be at once applied.) In the second figure the middle term is the predicate of both premises : in the third, the subject of both : in the fourth, the predicate of the major premiss, and the subject of the minor.