{ reposting without as many links }
{ as the last posting got blocked }Kirsti, List, As far as visualizations of sign relations go, without worrying about their use as a calculus, I've already submitted on several occasions the following 3-dimensional example from a paper that Susan Awbrey and I presented at conference in 1999 and revised for publication in 2001. Figure 3. Aspects of a Sign Relation http://inquiryintoinquiry.com/work/work-6/awbrey-awbrey-1999-aspects-of-a-sign-relation/ https://inquiryintoinquiry.files.wordpress.com/2016/03/awbrey-awbrey-1999-aspects-of-a-sign-relation.gif The conference version is available at Arisbe: http://www.iupui.edu/~arisbe/menu/library/aboutcsp/awbrey/integrat.htm The published version is available at Sage: http://org.sagepub.com/content/8/2/269.abstract I never imagined that the discussion would get so badly snagged on that simplest bit of chicken-scratching, but I suppose it is somewhat instructive, however painful (cf. Herodotus) to examine the host of reasons why. Regards, Jon On 4/5/2016 4:50 AM, [email protected] wrote: > John & al > > I have a suggestion for what is missing. By mistake, I sent my suggestion only to Jerry. But perhaps you and Jon are > interested in it, as well. - So I'll copy my note below: > > Jerry, > > I have not studied this particular triad CSP has presented. - BUT two-dimensional diagrams never present triadicity > to completion. Tree dimensions are needed. And even then TIME is needed as the fourth dimension, IF any reaction is > to be grasped as a process. > > Try imagining the diagram in a three-dimensional space. - Triadicity is not about triangles (as defined in plane > geometry) ). - Then you will end up with a tetraed. > > Any tetraed has FOUR turning points, four edges, as well as four triangular planes. Projective geometry is thus > needed in order to present a diagram showing the hidden one, too. > > And then the dimension of TIME. - Phillip J. Davis & Reuben Hersh (1980) in 'Mathematical Experience' deal with > some of the mathematical problems involved. (They do not understand triadicity, unfortunately). > > Best wishes, > > Kirsti > -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/
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