SUO: Re: Hypostatic And Prescisive Abstraction
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HAPA. Discussion Note 9
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"Inhomogeneopus", you say? -- That's from the Greek for "having two left feet".
Here's a corrected version:
As a thematic development in logic, this might be called the "relational turn".
It involves a change of perspective that changes how one describes the same
situation, passing from an expression that uses one subject and a monadic
predicate to an expression that uses two subjects and a dyadic predicate.
You can see a graphic illustration of the same sort of thing occurring
in the transition from Euler's circles, that retain a residue of the
asymmetric or inhomogeneous syllogistic form of one subject and one
predicate, to the more symmetric or homogenous relational form of
Venn's diagrams, that expresses a relation between two subjects
in the same intentional order or at the same ontological level.
In category theory, perspectival changes involve the concepts
of "functors" and of "natural transformations" between them.
I think I'll while away the morning by copying out the very
instructive passages from Peirce that I mentioned last time:
| CP 2.358 is Peirce's Baldwin Dictionary definition of "predicate".
| CP 3.465 is a short summary of these poly-unsaturated "polyads".
| CP 3.469 mentions the chemical analogy with "unsaturated bonds".
Jon Awbrey
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