¶ Systematic Realization
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Index Entry
Systematic Realization:
"The mathematician’s ‘purely imaginative,’ no-thickness, no-breadth, ergo, no insideness or outsideness points, lines, and planes are nonexperienceable. All image-ing derives from experience. Conceptually imaginable point, line, and plane experiences are systemic; that is, they have insideness, outsideness, and angular constancy independent of size.
“Size is always special case realizability. The mathematician’s undemonstrable assumption that three points define a plane of no thickness-- no radial depth-- is therefore subsystemic; ergo, unthinkable, nonoperationally evidencible, and unimaginable, ergo unemployable as constituents of proofs.”
“Contrary to conventional mathematical dogma three points do not define a nonexistent, ergo nondemonstrable, no-thickness plane; nor do they define an altitudeless triangle because there can be naught to systematically do the defining. No-thickness is neither experimentally evidencible nor conceptually feasible. System is conceptual independent of size.”
¶ Citations
