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Directory:Jon Awbrey/Papers/Inquiry Driven Systems : Part 6 (view source)
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, 17:25, 23 May 2012→6.11. Higher Order Sign Relations : Application: markup
# The constant name <math>{}^{\backprime\backprime} L(\text{A}) {}^{\prime\prime}</math> is a HI sign that makes a PIR to the elements of <math>L(\text{A}).\!</math>
# The constant name <math>{}^{\backprime\backprime} L(\text{A}) {}^{\prime\prime}</math> is a HI sign that makes a PIR to the elements of <math>L(\text{A}).\!</math>
# The constant name <math>{}^{\backprime\backprime} L(\text{B}) {}^{\prime\prime}</math> is a HI sign that makes a PIR to the elements of <math>L(\text{B}).\!</math>
# The constant name <math>{}^{\backprime\backprime} L(\text{B}) {}^{\prime\prime}</math> is a HI sign that makes a PIR to the elements of <math>L(\text{B}).\!</math>
This results in a higher order sign relation for <math>Q_{\text{AB}},\!</math> that is shown in Table 46.
<pre>
<pre>
Table 46. Higher Order Sign Relation for Q(A, B)
Table 46. Higher Order Sign Relation for Q(A, B)
Object Sign Interpretant
Object Sign Interpretant
<<<i>, B>, B> <De> <De>
<<<i>, B>, B> <De> <De>
<<<u>, B>, A> <De> <De>
<<<u>, B>, A> <De> <De>
</pre>
Following the manner of construction in this extremely reduced example, it is possible to see how answers to the above questions, concerning the meaning of "De (q, R)", might be worked out. In the present instance:
Following the manner of construction in this extremely reduced example, it is possible to see how answers to the above questions, concerning the meaning of <math>{}^{\backprime\backprime} \operatorname{De}(q, L) {}^{\prime\prime},\!</math> might be worked out. In the present instance:
De ("q", QAB) = S,
{| align="center" cellspacing="8" width="90%"
De ("R", QAB) = O.
|
</pre>
<math>\begin{array}{lll}
\operatorname{De} ({}^{\backprime\backprime} q {}^{\prime\prime}, Q_{\text{AB}})
& = & S
\\[6pt]
\operatorname{De} ({}^{\backprime\backprime} L {}^{\prime\prime}, Q_{\text{AB}})
& = & \{ L(\text{A}), L(\text{B}) \}
\end{array}</math>
|}
===6.12. Issue 1. The Status of Signs===
===6.12. Issue 1. The Status of Signs===