[Inquiry] Re: Examples! Examples! Examples! -- Correction

Jon Awbrey jawbrey at oakland.edu
Wed Jun 25 07:54:21 CDT 2003


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Correction.  There was a mistake in the top right text box of Figure 19.
The correct cactus expression for "!a! <=> !c!" is "((!a! , !c!))", and
here is the corrected Figure:

o-------------------------------o------------------------------------------o
| Object Domain  TLC^ ~=~ 2^TLC |         Language Domain L(!TLC!)         |
o-------------------------------o------------------------------------------o
|                                                                          |
|                                               o---------------o          |
|                                              /| (())          |\         |
|                     1                       / | (!a! (!c!))   | \        |
|                     o~~~~~~~~~~~~~~~~~~~~~~/~~| (!c! (!a!))   |  \       |
|                    / \                    /   | ((!a! , !c!)) |   \      |
|                   /   \                  /    | ...           |    \     |
|                  /     \                /     o---------------o     \    |
|                 /       \              /                             \   |
|                /         \            /               o---------------o  |
|               /           \          /                | !a!           |  |
|              /             \        /                 | !c!           |  |
|             /          !a!  o~~~~~~/~~~~~~~~~~~~~~~~~~| BE<!a!>       |  |
|            /               /      /                   | BE<!c!>       |  |
|           /               /      /                    | ...           |  |
|          /     TLC^      /      o---------------o     o---------------o  |
|         /               /       | (!a!)         |                    /   |
|        /               /        | (!c!)         |                   /    |
| (!a!) o~~~~~~~~~~~~~~~/~~~~~~~~~| BE<(!a!)>     |                  /     |
|        \             /          | BE<(!c!)>     |                 /      |
|         \           /           | ...           |                /       |
|          \         /            o---------------o               /        |
|           \       /              \                             /         |
|            \     /                \     o---------------o     /          |
|             \   /                  \    | ()            |    /           |
|              \ /                    \   | !a! (!c!)     |   /            |
|               o~~~~~~~~~~~~~~~~~~~~~~\~~| !c! (!a!)     |  /             |
|               0                       \ | (!a! , !c!)   | /              |
|                                        \| ...           |/               |
|                                         o---------------o                |
|                                                                          |
o--------------------------------------------------------------------------o
Figure 19.  Lattice of Propositions Inducing a Partition of Sentences

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