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

Jack Adams-Webber (
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,

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,

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

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,

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,



Jack Adams-Webber Tel: 905 (688) 5544 [x 3714]
Department of Psychology Fax: 905 (688) 6922
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