CHAPTER IV. 



EXTENSION AND INTENSION IN CATEGORICAL JUDGMENTS 

 AND PROPOSITIONS. 



99. POSSIBILITY OF VARIOUS MEANINGS IN THE PROPOSI 

 TIONS. Every categorical judgment announces a certain sort of 

 agreement or disagreement between subject and predicate, accord 

 ing as it is affirmative or negative in quality. But what sort of 

 agreement or disagreement ? We know that most general con 

 cepts or terms have two kinds of meaning, intensive and extensive 

 (30) ; that the extension of the subject determines what is known 

 as the quantity of the proposition (91); and that the predicate of 

 the latter can have its extension, as well as the subject (ibid.}. 

 Consequently, if we take an affirmative categorical proposition 

 in which both terms are general, as e.g. &quot;All men are mortal,&quot; 

 there is evidently room to ask what exactly is the nature of the 

 relation affirmed to exist between the subject &quot;men&quot; and the 

 predicate &quot;mortal&quot;. Since each term has both intension and 

 extension, the prepositional form may possibly be open to a variety 

 of meanings (82). When from among these alternatives we select 

 some one as the meaning to be attached to a given prepositional 

 form, we do not thereby deny that the form in question can 

 be made to bear any other alternative meaning (82) ; but still, 

 we should undoubtedly be guided by what people commonly mean, 

 in fixing the import of prepositional forms for ordinary logical 

 treatment. 



100. &quot; PREDICATIVE &quot; OR &quot; ATTRIBUTIVE &quot; INTERPRETATION. 

 Subject read in Denotation and Predicate in Connotation. Tak 

 ing, then, the judgment expressed by the proposition &quot;All men 

 are mortal&quot; we shall probably be going nearest to what people 

 ordinarily have in their minds, by saying that the relation is here 

 asserted between the denotation of the subject and the connotation 

 of the predicate ; that is to say, between the members of the class 

 &quot; men &quot; and the attribute &quot; mortal &quot;. The attribute &quot; mortal &quot; is 



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