[Arisbe] Transitivity & Triadicity
Jon Awbrey
jawbrey at att.net
Sat Jan 20 22:06:28 CST 2007
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Note 1
Just off-hand I would have to guess that transitivity is
an instance of degenerate thirdness, since the matter of
the triple x, y, z being in order reduces to the matters
of the pair x, y being in order and the pair y, z being
in order.
Note 2
Another example that comes to mind in the context
of value orderings is Warren S. McCulloch's paper,
"A Heterarchy of Values Determined by the Topology
of Nervous Nets", reprinted in ''Embodiments of Mind'',
MIT Press, 1965. He discusses the order of complexity
in neural mechanisms that would be necessary to support
what he calls a "value anomaly", an intransitive or cyclic
triple where A is preferred to B, and B is preferred to C,
but C is preferred to A.
Jon Awbrey
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