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→‎Analytic Expansion of Conjunction: sub [gif image/ascii graphic]
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Figure&nbsp;35 pictures the form of conjunction ''J''&nbsp;:&nbsp;'''B'''<sup>2</sup>&nbsp;&rarr;&nbsp;'''B''' as a transformation from the 2-dimensional universe [''u'',&nbsp;''v''] to the 1-dimensional universe [''x''].  This is a subtle but significant change of viewpoint on the proposition, attaching an arbitrary but concrete quality to its functional value.  Using the language introduced earlier, we can express this change by saying that the proposition ''J''&nbsp;:&nbsp;〈''u'',&nbsp;''v''〉&nbsp;&rarr;&nbsp;'''B''' is being recast into the thematized role of a transformation ''J''&nbsp;:&nbsp;[''u'',&nbsp;''v'']&nbsp;&rarr;&nbsp;[''x''], where the new variable ''x'' takes the part of a thematic variable ¢(''J'').
 
Figure&nbsp;35 pictures the form of conjunction ''J''&nbsp;:&nbsp;'''B'''<sup>2</sup>&nbsp;&rarr;&nbsp;'''B''' as a transformation from the 2-dimensional universe [''u'',&nbsp;''v''] to the 1-dimensional universe [''x''].  This is a subtle but significant change of viewpoint on the proposition, attaching an arbitrary but concrete quality to its functional value.  Using the language introduced earlier, we can express this change by saying that the proposition ''J''&nbsp;:&nbsp;〈''u'',&nbsp;''v''〉&nbsp;&rarr;&nbsp;'''B''' is being recast into the thematized role of a transformation ''J''&nbsp;:&nbsp;[''u'',&nbsp;''v'']&nbsp;&rarr;&nbsp;[''x''], where the new variable ''x'' takes the part of a thematic variable ¢(''J'').
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<p>[[Image:Diff Log Dyn Sys -- Figure 35 -- A Conjunction Viewed as a Transformation.gif|center]]</p>
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<p><center><font size="+1">'''Figure 35.  Conjunction as Transformation'''</font></center></p>
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|  |      u      |`````|      v      |  |
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|  |            |`````|            |  |
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|  o            o`````o            o  |
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|  \            \```/            /  |
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|    \            \`/            /    |
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|    \            o            /    |
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|      o---------o  o---------o      |
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o---------------------------------------o
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\                                    /
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  \                                /
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    \                            /
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      \            J            /
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          \                /
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            \            /
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o--------------\---------/--------------o
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|            o------@------o            |
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|          /```````````````\          |
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|          /`````````````````\          |
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|        /```````````````````\        |
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|        /`````````````````````\        |
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|      o```````````````````````o      |
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|      |```````````````````````|      |
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|      |`````````` x ``````````|      |
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|      |```````````````````````|      |
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|      o```````````````````````o      |
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|        \`````````````````````/        |
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|        \```````````````````/        |
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|          \`````````````````/          |
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|          \```````````````/          |
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|            o-------------o            |
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o---------------------------------------o
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Figure 35.  Conjunction as Transformation
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=====Tacit Extension of Conjunction=====
 
=====Tacit Extension of Conjunction=====
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