Re: ruminations on the big 5; two-thirds-- and 3!

Jack Adams-Webber ( jadams@spartan.ac.brocku.ca )
Mon, 2 Oct 1995 08:24:58 -0400

>
>c) The Self-Referential 3-Way Mirror Limit???
>
>Has anyone noticed, taken seriously enough to research, or even published
>something on the following limitation in our apperceptions of iterated
>self-referential statements: (*)
>
>- I can aprehend the meaning of a sentence like "I think" readily, of course
>- I can similarly apprehend the meaning of the sentence "I think (that) you
>think" easily enough
>- I can manage to apprehend "I think you think I think"
>- but one more iteration, "I think you think I think you think" and my
>ability to hold the reflected meaning evaporates, and all I'm left with is
>the value of the written text as a calculus for (i.e. representation of)
>the meaning.
>
>(*) If no-one has, I hereby claim this as _Jankowicz's_ Self-Referential
>3-Way Mirror Limit; fame at last!
>
>Something to do with information-processing limitations, no doubt;
>something to do with the way in which we encode information, perhaps.
>

Hi Devi:

Good insight; however, I'm afraid that Vladimir Lefebvre beat you off the
mark on this one:

Lefebvre, V. A. (1985). The Golden Section and an Algebraic Model of
Ethical Cognition. Journal of Mathematical Psychology, Vol.29,
289-310.

Lefebvre, V. A. (1990). The Fundamental Structure of Human Reflexion
(revised). In: Wheeler, H. (Ed.), The Structure of Human Reflexion: The
Reflexional Psychology of Vladimir Lefebvre. New York: Peter Lang.

Lefebvre, V. A. (1992). A Rational Equation for Attractive
Proportions. Journal of Mathematical Psychology, Vol.36, 100-128.

Lefebvre, V. A. (1994a). From the Representation of Rationality to the
Representation of Free Will. Psichologihesky Journal, Vol.15, No.2,
99-121.

Lefebvre, V. A. (1994b). Multiple Awareness and Heat Engines.
Institute for Mathematical Behavioral Sciences. Technical Report, MBS

Lefebvre, V. A. (1995).THE ANTHROPIC PRINCIPLE IN PSYCHOLOGY AND HUMAN CHOICE:
PSYCOLOQUY (Saturday 23 September 1995
ISSN 1055-0143 (94 pars, 43 eqns, 3 figs, 1 tbl, 70 refs, 1225 lines)

See also:

Adams-Webber, J. (1987). Comment on Lefebvre's Model from the
Perspective of Personal Construct Theory. Journal of Social and
Biological Structures, Vol.10, No.2, 177-189.

Levitin, L. (1987). Bohr's Atom and Vladimir Lefebvre's "Inner
Computer." Journal of social and Biological Structures, Vol.10,
183-185.

McClain, E. (1987). Comment on Vladimir Lefebvre's Tonal Automata.
Journal of Social and Biological Structures, Vol.10, No.2, 204-212.

Rapoport, A. (1990). Reflexion, Modeling, and Ethics. In Wheeler, H.
(Ed.): The Structure of Human Reflexion. New York: Peter Lang.

Wheeler, H. (1987). A Constructional Biology of Hermeneutics. Journal
of Social and Biological Structures, Vol.10, No.2, 103-123.

Wheeler, H., Ed. (1990). A Reflexional Model of the Mind's Hermeneutic
Processes. In Wheeler, H. (Ed.): The Structure of Human Reflexion. New
York: Peter Lang.

Zajonc, R. B. (1987). Comment on Interpersonal Affiliation and the
Golden Section. Journal of Social and Biological Structures, Vol.10,
212-214.

Cheers,

Jack

Jack Adams-Webber Tel: 905 (688) 5544 [x 3714]
Department of Psychology Fax: 905 (688) 6922
Brock University E-mail: jadams@spartan.ac.brocku.ca
St. Catharines, Ontario
CANADA L2S 3A1

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