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CHAPTER II. 

 OF RATIOCINATION, OR SYLLOGISM. 



$ 1. THE analysis of the Syllogism has been so 

 accurately and fully performed in the common manuals 

 of Logic, that in the present work, which is not 

 designed as a manual, it is sufficient to recapitulate, 

 memorise causd, the leading results of that analysis, 

 as a foundation for the remarks to be afterwards made 

 upon the functions of the syllogism, and the place 

 which it holds in philosophy. 



To a legitimate syllogism it is essential that there 

 should be three, and no more than three, propositions, 

 namely, the conclusion, or proposition to be proved, 

 and two other propositions which together prove it, 

 and which are called the premisses. It is essential 

 that there should be three, and no more than three 

 terms, namely, the subject and predicate of the con- 

 clusion, and another called the middleterm, which 

 must be found in both premisses, since it is by means 

 of it that the other two terms are to be connected 

 together. The predicate of the conclusion is called 

 the major term of the syllogism; the subject of the 

 conclusion is called the minor term. As there can 

 be but three terms, the major and minor terms must 

 each be found in one, and only one, of the premisses, 

 together with the middleterm which is in them both. 

 The premiss which contains the middleterm and the 

 major term is called the major premiss ; that which 

 contains the middleterm and the minor term is called 

 the minor premiss of the syllogism. 



Syllogisms are divided by some logicians into 



