[Inquiry] Re: Extension x Comprehension = Information

[Jon Awbrey]

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ECI.  Commentary Note 8

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Let's redraw the "New List" pictures of Abduction and Induction
in a way that is a little less cluttered, availing ourselves of
the fact that logical implications or lattice subsumptions obey
a transitive law to leave implicit what is thereby understood.

o-------------------------------------------------o
|                                                 |
|                 P_1   ...   P_k                 |
|                  o     o     o                  |
|                   \    |    /                   |
|                    \   |   /                    |
|                     \  |  /                     |
|                      \ | /                      |
|                       \|/                       |
|                        o Q                      |
|                       /|                        |
|                      / |                        |
|                     /  |                        |
|                    /   |                        |
|                   /    |                        |
|                M o     |                        |
|                   .    |                        |
|                    .   |                        |
|                     .  |                        |
|                      . |                        |
|                       .|                        |
|                        o S                      |
|                                                 |
o-------------------------------------------------o
| Icon Q of Object M, Abduction of Case "S is M"  |
o-------------------------------------------------o

o-------------------------------------------------o
|                                                 |
|                        o P                      |
|                       .|                        |
|                      . |                        |
|                     .  |                        |
|                    .   |                        |
|                   .    |                        |
|                M o     |                        |
|                   \    |                        |
|                    \   |                        |
|                     \  |                        |
|                      \ |                        |
|                       \|                        |
|                        o L                      |
|                       /|\                       |
|                      / | \                      |
|                     /  |  \                     |
|                    /   |   \                    |
|                   /    |    \                   |
|                  o     o     o                  |
|                 S_1   ...    S_k                |
|                                                 |
o-------------------------------------------------o
| Index L of Object M, Induction of Rule "M is P" |
o-------------------------------------------------o

The main problem that I have with these pictures in their
present form is that they do not sufficiently underscore
the distinction in roles between signs and objects, and
thus we may find it a bit jarring that the middle term
of a syllogistic figure is described as an "object"
of iconic and indexic signs.

I will try to address that issue when
I return to Peirce's earlier lectures.

Jon Awbrey

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