Papers

1989-1993

1989-1993

Moscow

Technical Report Series

The paper is discussing a problem of why some economical models can effectively predict

human choice.

A hypothetical law governing the generation of aesthetically attractive

proportions in music and geometry is introduced in this paper.

The problem of whether the golden section ratio possesses special

attractiveness has been discussed for many centuries. A new attempt to

explain this phenomenon has recently been made with the help of the model

of the subject with multi-layered reflexivity. This model suggests a set of

conditions under which we may hope to observe this phenomenon

experimentally. A retrospective analysis of experiments meeting the

conditions suggested by this model found the presence of a value close to

0.62. The relation of this value to the golden section can be further clarified

by new experiments testing the predictions of the model of the subject with

multilayered reflexivity.

The author offers explanation for experimental data by Caporael et al. with

the help of a formal model of bipolar choice.

McClain depicted Plato’s city of Magnesia as a circle and found that its

structure was based on mathematical ratios which coincide with Just Intonation

set of musical intervals (including nonstandard intervals 4/7 and 7/8). Later

McClain noted that the same set of intervals was deduced formally by the

author of this paper from his model of human reflexion. In this paper the

author put forth the hypothesis that Plato might have known of some formal

correlations analogous to those in this model.

1989-1993

1989-1993