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/ The conference version is available at Arisbe: http://www.iupui.edu/~arisbe/menu/library/aboutcsp/awbrey/integrat.htm The published version is available here: 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, kirst...@saunalahti.fi 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
Inquiry Blog http://inquiryintoinquiry.com/2016/03/28/systems-of-interpretation-%E2%80%A2-1/ http://inquiryintoinquiry.com/2016/03/28/systems-of-interpretation-%E2%80%A2-2/ http://inquiryintoinquiry.com/2016/03/29/systems-of-interpretation-%E2%80%A2-3/ http://inquiryintoinquiry.com/2016/03/30/systems-of-interpretation-%E2%80%A2-4/ http://inquiryintoinquiry.com/2016/03/31/systems-of-interpretation-%E2%80%A2-5/ http://inquiryintoinquiry.com/2016/04/05/systems-of-interpretation-%E2%80%A2-6/ http://inquiryintoinquiry.com/2016/04/06/systems-of-interpretation-%E2%80%A2-7/ Peirce List JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18558 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18562 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18565 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18568 JC:http://permalink.gmane.org/gmane.science.philosophy.peirce/18570 JLRC:http://permalink.gmane.org/gmane.science.philosophy.peirce/18571 JC:http://permalink.gmane.org/gmane.science.philosophy.peirce/18572 KM:http://permalink.gmane.org/gmane.science.philosophy.peirce/18573 GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/18574 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18575 JLRC:http://permalink.gmane.org/gmane.science.philosophy.peirce/18578 CG:http://permalink.gmane.org/gmane.science.philosophy.peirce/18580 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18581 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18582 KM:http://permalink.gmane.org/gmane.science.philosophy.peirce/18583 GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/18584 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18585 GF:http://permalink.gmane.org/gmane.science.philosophy.peirce/18586 JA:http://permalink.gmane.org/gmane.science.philosophy.peirce/18587 -- academia: http://independent.academia.edu/JonAwbrey my word press blog: http://inquiryintoinquiry.com/ isw: http://intersci.ss.uci.edu/wiki/index.php/JLA oeiswiki: http://www.oeis.org/wiki/User:Jon_Awbrey facebook page: https://www.facebook.com/JonnyCache
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