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  • © 2001

Algebra of Conscience

Part of the book series: Theory and Decision Library A: (TDLA, volume 30)

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Table of contents (36 chapters)

  1. Front Matter

    Pages i-xiv
  2. Introductory Chapter

    1. Introductory Chapter

      • Vladimir A. Lefebvre
      Pages 1-15
  3. Ethical Systems

    1. Front Matter

      Pages 17-35
    2. Moral Cognition

      • Vladimir A. Lefebvre
      Pages 36-42
    3. Ethical Systems and Boolean Algebra

      • Vladimir A. Lefebvre
      Pages 43-45
    4. Boolean Algebra, Exponent, Logarithm

      • Vladimir A. Lefebvre
      Pages 46-49
    5. Individuals, Reflexion, and Interaction

      • Vladimir A. Lefebvre
      Pages 50-54
    6. Automata with Semantics and Ethical Status

      • Vladimir A. Lefebvre
      Pages 55-62
    7. A Formal Representation of Doubts and Feelings

      • Vladimir A. Lefebvre
      Pages 63-67
    8. Experimental Analysis of Normative Individuals

      • Vladimir A. Lefebvre
      Pages 88-93
    9. Feelings and Sacrifices

      • Vladimir A. Lefebvre
      Pages 98-108
    10. Interaction. Activity and Its Measure

      • Vladimir A. Lefebvre
      Pages 112-115
    11. Ideology, Morality, and Political Organization

      • Vladimir A. Lefebvre
      Pages 126-134

About this book

Conscience is an essential human attribute. Nevertheless, in the construction of formal models of the subject it is customarily left outside the framework of theoretical analysis. The Algebra of Conscience, whose first edition appeared in 1982, was the first specialized work modeling the phenomenon of conscience. The method used in this book made it possible to connect moral experience with decision-making procedures on the level of mathematical models. The application of such models allows us to propose the hypothesis of two fundamentally different ethical systems determining the normative patterns of human behavior in situations of conflict. Under the first ethical system the subject's self-esteem is raised if the subject seeks to resolve the conflict; in the second it is raised by seeking to dramatize the conflict.
The new edition of The Algebra of Conscience is significantly expanded. The second part of the book, devoted to moral choice, is completely new. Based on the theory presented in the first part, it constructs the model of a subject capable of making an intentional choice. A special variable corresponds to the subject's intention. This development allows us to include within the model freedom of will and freedom of choice, and also to generalize classical 2×2 game theory to the case where outcomes, in addition to having utility measures, are either `positive' or `negative.'
In its concluding chapters the book constructs a dynamic model of the intentional subject faced with a choice between two alternatives, neither of which is morally acceptable for the subject. It is shown that in this case the probabilities of choice of the alternatives may change chaotically. From this it follows that one cannot predict which alternative will be chosen or even the probabilities with which they will be chosen.
Audience: The book is addressed to a broad readership having elementaryknowledge of mathematical logic and the theory of probability. It can be used in college courses studying the modelling of moral choice. The book's material can also be used in the design of artificial intelligence systems.

Authors and Affiliations

  • University of California, Irvine, USA

    Vladimir A. Lefebvre

Bibliographic Information

Buy it now

Buying options

eBook USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 249.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access