Research on Bipolarity and Reflexivity (second edition), 2006
Preface to the second edition
Introduction to the first edition
Part I. A Model of the subject with free will
1.1. An abstract scheme
1.2. Axioms
1.3. Deduction of the analytical representation of the subject
1.4. The fixed points of the operator
Part II. General interpretation
2.1. Self-Reflexion, trend, and belief
2.2. Quantum-Mechanical analogy
2.3. Projecting the state onto a screen as the object's reference
Part III. Decisions based on the image of the world
3.1. Application of the model to the empirical domain
3.2. Categorization of stimuli
3.3. Estimation of star's brightness
3.4. Altruism
Part IV. The autonomous subject
4.1. Four assumption on the autonomous subject
4.2. A trend to the self
4.3. A trend to the external object
Part V. Decisions based on belief
5.1. Pole of belief, index of belief, and projection of the subject's state
5.2. Social choice
5.3. Categorization in the bipolar construct good-bad
5.4. The golden section and choice of a point on a scale
5.5. The golden section and 'mere exposure'
Part VI. Categorization of the self and others with the help of bipolar
6.1. Historical excursus
6.2. The experiment of Adams-Webber
6.3. A model of the process of self-evaluation
6.4. A model of the process of evaluation of others
6.5. The probability of positive evaluation of another person
6.6. An experiment by Grice et al.
Part VII. Natural generation of geometrical proportions
7.1. Historical excursus
7.2. Lockhead's method
7.3. The golden section in generation of geometrical proportions as a result
of projecting the subject's state onto a segment
Part VIII. Natural generation of musical intervals
8.1. Historical excursus
8.2. Musical intervals as projections of states
8.3. Elite intervals
8.4. Formal deduction of the Just Intonation set
8.5. Major and minor triads
8.6. Psychological profiles of major and minor
8.7. Pelog
8.8. Communicative function of elite intervals
Part IX. The subject with images of self and other
9.1. An abstract scheme
9.2. Functions corresponding to the image of the group
9.3. Analytical representation of the subject
9.4. The principle of maximization of the ethical status of the image of the self
Part X. The algebraic basis of the model
10.1. Gamma-algebra
10.2. Axioms
10.3. Algebraic subject
Post Script. The text written by Sir Karl Popper which, in his opinion, could
serve as the author's Preface for this book

The additional Part. Bipolar choice
1. The Law of Internality in a Logical Scheme of Evolution of Behaviorism
2. The Matching Law
3. The Attempt to Explain the Matching Law within the Framework of the
of Behavior
4. A Model of the Subject with Internality (MS)
5. A Deduction of Theoretical Equation for the Modeling Law
6. Frequencies as Traces of Probability Regulation
7. Function of the Uncertain State
8. Prediction of Behavioral Patterns
9. Animals' Deontological Evaluation
10. Sacred Shift
11. Conclusion
A Note to the Additional Part
Bibliography to the Additional Part