ONT Re: Inquiry Into Inquiry
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W.M. Jaworski wrote:
>
> JA: | Z
> | o
> | |\
> | | \
> | | \
> | | \
> | | \ Rule
> | | \
> | | \
> | | A > \
> | | \ / \
> | Fact | <-¤-D o Y
> | | / \ /
> | | I > /
> | | /
> | | /
> | | / Case
> | | /
> | | /
> | | /
> | |/
> | o
> | X
> |
> | Figure 1. Basic Structure & Terminology
>
> WMJ: What is A, I, D, ¤ ? How this subgraph is connected to XYZ graph?
> Probably this is explained in your other submissions or figures.
> Classical case of logically joined but physically dis-joined.
A = Abduction
D = Deduction
I = Induction
¤ = Decoration
The arrows in the center were supposed (superimposed?) to form
what is clearly a not-so-mnemonic device to indicate this data:
| Deduction takes a Case, the minor premiss of the form X => Y,
| matches it with a Rule, the major premiss of the form Y => Z,
| then adverts to a Fact, the bound outcome of the form X => Z.
|
| Induction takes a Case of the form X => Y,
| matches it with a Fact of the form X => Z,
| then adverts to a Rule of the form Y => Z.
|
| Abduction takes a Fact of the form X => Z,
| matches it with a Rule of the form Y => Z,
| then adverts to a Case of the form X => Y.
> When I use this ancient scheme, attaching its medieval labels
> of "Case", "Fact", "Rule", I will always try to remember to
> capitalize these quaint terms of art, so as not to confuse
> them with their more common usage. So the points X, Y, Z
> represent 'terms', while the edges represent 'propositions',
> reading Case YX, Fact ZX, Rule ZY in the following ways as
> implications or as predications, according to one's taste.
>
> ¤~~~~~~~~~~~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤
> | Proposition | Case YX | Fact ZX | Rule ZY |
> ¤~~~~~~~~~~~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤
> | Predication | Y of X | Z of X | Z of Y |
> ¤~~~~~~~~~~~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤
> | Implication | (X (Y)) | (X (Z)) | (Y (Z)) |
> | | | | |
> | | X=>Y | X=>Z | Y=>Z |
> ¤~~~~~~~~~~~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤~~~~~~~~~¤
Never fear -- you will get to see all of this again.
Jon Awbrey
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