Changes

===Selection 19===

===Selection 19===

'''Nota Bene.'''  In the Table below a label of the form ''XY'' indicates a premiss of a classical syllogism in which ''X'' is the subject and ''Y'' is the predicate.  Also, I suspect that the Third Figure syllogism ought to be ''XY'' & ''XZ''.

'''Nota Bene.'''  In the Table below a label of the form <math>XY\!</math> indicates a premiss of a classical syllogism in which <math>X\!</math> is the subject and <math>Y\!</math> is the predicate.  Also, I suspect that the Third Figure syllogism ought to be <math>XY\!</math> and <math>XZ.\!</math>

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<p>What we have to distinguish, therefore, is not so much the quantity of extension from the quantity of intension as it is the object of connotation from the object of denotation.  In analytical judgments there is no denotation at all.  In a synthetical judgment the subject is an object of denotation.</p>

<p>What we have to distinguish, therefore, is not so much the quantity of extension from the quantity of intension as it is the object of connotation from the object of denotation.  In analytical judgments there is no denotation at all.  In a synthetical judgment the subject is an object of denotation.</p>

 

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o---------------------o-----------------------o-----------------o

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<p>There cannot be a judgment whose subject is an object of connotation and whose predicate is an object of denotation.  For a symbol ''denotes'' by virtue of ''connoting'' and not 'vice versa', hence the object of connotation determines the object of denotation and not 'vice versa', in the sense in which the subject of a proposition is the term determined and the predicate is the determining term.  Whence if one of the terms is an object of connotation and the other is an object of denotation, the latter is the subject and not the former.</p>

<p>There cannot be a judgment whose subject is an object of connotation and whose predicate is an object of denotation.  For a symbol ''denotes'' by virtue of ''connoting'' and not ''vice versa'', hence the object of connotation determines the object of denotation and not ''vice versa'', in the sense in which the subject of a proposition is the term determined and the predicate is the determining term.  Whence if one of the terms is an object of connotation and the other is an object of denotation, the latter is the subject and not the former.</p>

<p>In the other two cases, there is no difference between subject and predicate;  except that one may be regarded as taken first.</p>

<p>In the other two cases, there is no difference between subject and predicate;  except that one may be regarded as taken first.</p>

<p>A proposition would usually be called intensive if its predicate were an object of connotation;  hence we have three kinds of propositions given by these two;  namely,</p>

<p>A proposition would usually be called intensive if its predicate were an object of connotation;  hence we have three kinds of propositions given by these two;  namely,</p>

: <p>Analytic.</p>

::: <p>Analytic.</p>

: <p>Synthetic Intensive.</p>

::: <p>Synthetic Intensive.</p>

: <p>Extensive.</p>

::: <p>Extensive.</p>

<p>There is no such thing as an analytic extensive proposition.  For an analytic proposition containing no object of denotation is merely the expression of a relation of comprehension.  Of course from an analytic proposition a synthetic one may be immediately inferred.  From:</p>

<p>There is no such thing as an analytic extensive proposition.  For an analytic proposition containing no object of denotation is merely the expression of a relation of comprehension.  Of course from an analytic proposition a synthetic one may be immediately inferred.  From:</p>

<p>(Peirce 1865, Harvard Lecture 10 : Grounds of Induction, CE 1, 272&ndash;274).</p>

 

<p>we may infer:</p>

 

 

<p>but the predicate 'mortals' is not a mere result of the analysis of ''men''.  I have here slightly narrowed Kant's definition of the analytic judgment so as to make it not merely needless but impossible to test one by experience.  (Peirce 1865, "Harvard Lecture 10.  Grounds of Induction", CE 1, 272–274).</p>

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