By Vladimir A. Lefebvre (auth.)

Conscience is a vital human characteristic. however, within the building of formal versions of the topic it truly is regularly left outdoor the framework of theoretical research. The Algebra ofConscience, whose first version seemed in 1982, used to be the 1st really good paintings modeling the phenomenon of moral sense. the strategy utilized in this booklet made it attainable to attach ethical event with decision-making methods at the point of mathematical versions. the applying of such types permits us to suggest the speculation of 2 essentially various moral platforms deciding upon the normative styles of human habit in occasions of clash. lower than the 1st moral process the subject's vainness is raised if the topic seeks to solve the clash; within the moment it really is raised via looking to dramatize the clash.
the recent version of The Algebra of Conscience is considerably elevated. the second one a part of the publication, dedicated to ethical selection, is totally new. in accordance with the idea offered within the first half, it constructs the version of a subject matter able to making an intentional selection. a different variable corresponds to the subject's goal. This improvement permits us to incorporate in the version freedom of will and freedom of selection, and in addition to generalize classical 2×2 online game thought to the case the place results, as well as having application measures, are both `positive' or `negative.'
In its concluding chapters the booklet constructs a dynamic version of the intentional topic confronted with a call among possible choices, neither of that is morally appropriate for the topic. it truly is proven that during this example the possibilities of collection of the choices could switch chaotically. From this it follows that one can't expect which replacement can be selected or perhaps the possibilities with which they are going to be selected.
Audience: The publication is addressed to a wide readership having uncomplicated wisdom of mathematical good judgment and the idea of chance. it may be utilized in university classes learning the modelling of ethical selection. The book's fabric is additionally utilized in the layout of synthetic intelligence systems.

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43 V. A. Lefebvre, Algebra of Conscience © Springer Science+Business Media Dordrecht 2001 44 PART ONE. Chapter II The core of the structure of an individual lies in the connection between the 'states' of the individual and his processes of awareness: an individual in a state ofevil and aware ofthis, changes his state to good. We would like to consider this statement as a law and include it as an axiom in our theory. It is not a psychological law, but rather a normative law of ethical evaluation.

This degree of freedom is connected with the possibility of evaluating the compromise between good and evil either as evil or as good (and correspondingly the confrontation of good and evil either as good or as evil). As a result we obtain two different ethical systems, and we suggest the hypothesis that one ethical system is realized in American culture, and the other in Soviet culture. The hypothesis about differences between Soviet and American individuals is based on personal observations by the author and his friends and colleagues.

A - b (12) aa+b + bb+ii A and Bare in conflict. Both of them reflect this fact correctly, and both have incorrect images of each other and of themselves. A sees his partner seeing a, but A himself sees a, so he believes his partner is wrong. B sees his partner seeing b~ and B himself sees b~ so he thinks his partner has a correct image of him. A general rule for constructing judgments about the correctness of images and judgments is given in Appendix 1. Let us introduce the concept of absolute adequacy ofan image.

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