[Inquiry] Re: Prospects for Inquiry Driven Systems

[Jon Awbrey]

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PRO.  Note 12

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1.1.3.  Reality and Representation

A sidelight that arose in the characterization of intelligence is recapitulated here.
Beginning with experience described in phenomenal terms, the possibility of objective
knowledge appears to depend on a certain factorization or decomposition of the total
manifold of experience into a pair of factors:

1.  A fundamental, original, objective, external, or "base" factor.

2.  A representational, derivative, subjective, internal, or "free" factor.

To anticipate language that will be settled on later, the total manifold
of phenomenal experience is said to factor into a "bundle" of "fibers".
With regard to the initial, perhaps always provisional decomposition,
the "bundle" structure corresponds to the hypostatic or base factor
and the "fiber" space corresponds to the epistemic or free factor.

Fundamental definitions and theorems with respect to fiber bundles are
given in (Auslander & MacKenzie, ch. 9).  Discussions of fiber bundles
in physical settings are found in (Burke, pp. 84-108) and (Schutz, 1980).
Concepts of differential geometry that are directed toward applications
in control systems engineering are treated in (Doolin & Martin, ch. 8).
An AI project that uses aspects of fiber methods to construct cognitive
models of physics comprehension is described in (Bundy & Byrd, 1983).

Jon Awbrey

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