Transitivity & Triadicity
Jon Awbrey <[email protected]>
| Newsgroups | gmane.comp.inquiry |
|---|---|
| Message-ID | <[email protected]> |
o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o 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 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o inquiry e-lab: http://stderr.org/pipermail/inquiry/ zhongwen wp: http://zh.wikipedia.org/wiki/User:Jon_Awbrey wikinfo: http://wikinfo.org/wiki.php?title=User:Jon_Awbrey http://www.getwiki.net/wiki.php?title=User_talk:Jon_Awbrey wp review: http://wikipediareview.com/index.php?showuser=398 o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o~~~~~~~~~o