Dear Gary F, You wrote:
" . . . this sign is not dicent, nor is it indexical, (101714-1) nor is it a legisign, as Peirce defines these terms." Are you sure ? If the Hofstadter cubes are no dicent, nor indexical nor a legisign, which of the ten classes of signs Peirce defined do you think it is ? As I understand Peirce's 10 classes of signs, it it is a dicent indexical legisign or even an argument symbolic legisign (f you focus your attention on the symbols on the figure, not on the physical objects). To me, the Hofstadter cubes stand for the principle of complementarity, a Third, and hence is a legigsign. Do you think I am mis-interpreting Peirce ? With all the best. Sung > Sung, since you ask me, no, this sign is not dicent, nor is it indexical, > nor is it a legisign, as Peirce defines these terms. Nor does your > particular concept of complementarity have anything to do with NP 3.12. > More > generally: you have the right to post your original ideas here, but nobody > has a responsibility to read or reply to them. > > gary f. > > -----Original Message----- > From: Sungchul Ji [mailto:[email protected]] > Sent: 16-Oct-14 8:55 PM > > Gary F and Frederik, > > How about what I call the Hofstadter cubes (see the picture attached) as > the > decent indexical legisign standing for the concept of Complementarity ? > > N. Bohr never gave any rigorous definition of the concept of > complementarity > that he introduced to physics and philosophy in the early decades of the > 20th century. In 1995 [1, p. 524] I defined complementarity in terms of > three logical criteria: > > (1) EXCLUSIVITY: A and B are mutually exclusive (.e., wave and particle)> > (2) ESSENTIALITY: A and B are essential to completely describe C (e.g., > wave an particle properties of light). > (3) TRANSCENDENTALITY: C transcends the level where A and B have meanings > and yet serves as the source of A and B. > > Evidently, the Hofstadter cubes embody all these three criteria, as > indicated the letters and other sybmols in the figure. The cubes > symbolizing C transcends the three orthogonal planes on which A and B > reside, since the cubes are hanging in a 3-dimensional space while A and B > reside on 2-dimensional palnes. > > The figure also illustrates two kinds of complementarities - C and C', the > former being 3-dimensional and the latter 2-dimensional. The difference > is > that C' are in the same planes as A and B so that they can be combined > mathematically, as exemplified by the de Broglie equation shown in the > bottom of the figure. In contrast, C is in a different space than A and B > and hence cannot be mathematically combined. > > Many physicists and philosophers of science may believe that light (C) is > both wave and particle simultaneously because they appear together in a > mathematical equation, i.e., C'. But, as the Hofstadter cubes clearly > demonstrate, C and C' are not identical and hence light cannot be equated > with the combination of wave and particle, as Einstein, de Broglie, Bohm > and > his followers believe. They in effect may be conflating C and C'. > > For convenience, the two kinds of complementarities illustrated by the > Hofstadter cubes, may be called the 2-D complementarity and 3-D > complementarity. Most complementarity pairs written about in numerous > books > and articles belong to the class of 2-D complementarity, and discussions > on > 3-D complementary pairs seem rare. > > > With all the best. > > Sung > ___________________________________________________ > Sungchul Ji, Ph.D. > Associate Professor of Pharmacology and Toxicology Department of > Pharmacology and Toxicology Ernest Mario School of Pharmacy Rutgers > University Piscataway, N.J. 08855 > 732-445-4701 > > www.conformon.net > > > > > Reference: > [1] Ji, S. (1995). Complementarism: A Biology-Based Philosophical > Framework to Integrate Western Science and Eastern Tao, in Psychotherapy > East and West: Integration of Psychotherapies, Korean Academy of > Psychotherapists, 178-23 Sungbuk-dong, Songbuk-ku, Seoul 136-020, Korea, > pp. > 517-548. PDF available at http://www.conformon.net under Publications > > Proceedings and Abstract. > > >
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