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Revision as of 21:54, 24 June 2009
, 21:54, 24 June 2009→Factoring Sign Relations
Now suppose that the situation with respect to the ''denotative component'' of <math>L,\!</math> in other words, the projection of <math>L\!</math> on the subspace <math>O \times S,</math> can be pictured in the following manner, where equal signs written between ostensible nodes identify them into a single actual node.
Now suppose that the situation with respect to the ''denotative component'' of <math>L,\!</math> in other words, the projection of <math>L\!</math> on the subspace <math>O \times S,</math> can be pictured in the following manner, where equal signs written between ostensible nodes identify them into a single actual node.
{| align="center" cellspacing="10" style="text-align:center; width:90%"
|
<pre>
<pre>
o-----------------------------o
o-----------------------------o
o-----------------------------o
o-----------------------------o
</pre>
</pre>
|}
The Figure depicts a situation where each of the three objects, <math>x_1, x_2, x_3,\!</math> has a proper name that denotes it alone, namely, the three proper names <math>y_1, y_2, y_3,\!</math> respectively. Over and above the objects denoted by their proper names, there is the general sign <math>y,\!</math> which denotes any and all of the objects <math>x_1, x_2, x_3.\!</math> This kind of sign is described as a ''general name'' or a ''plural term'', and its relation to its objects is a ''general reference'' or a ''plural denotation''.
<pre>
<pre>
Now, at this stage of the game, if you ask:
Now, at this stage of the game, if you ask:
"Is the object of the sign y one or many?",
"Is the object of the sign y one or many?",
