By Dummit D. S

ISBN-10: 0130047716

ISBN-13: 9780130047717

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Stimuli are actions directed at an individual by the social environment. These 'directions' may be 'good' or 'bad' within the framework ofthe morality of the culture to which the individual belongs. An individual's responses may be of two types: he either accepts the orders of the environment or refuses to do so. We might call an individual 'better' the less frequently he performs 'bad' actions directed by the environment. Analysis of the structure of the 'inner world' of an automaton permits us to establish the connection between his 'psychological type' and his 'ethical status'.

A=a 13. a+ a= 1 14. 1 = 0. - In Boolean algebra, implication ( ~) is defined in terms of disjunction, and negation as de f. b~a=b+a. We introduce, an alternative notation for implication as the exponential function: 46 V. A. Lefebvre, Algebra of Conscience © Springer Science+Business Media Dordrecht 2001 BOOLEAN ALGEBRA, EXPONENT, LOGARITHM 47 def. b b-+a= a . 1 Tabular representation of implication. a b b~a 1 0 1 0 0 1 1 0 1 0 1 1 a b 1 0 1 1 Let us agree also that a b c c (b ) = a def. The exponential representation of implication appeared in the context of the theory of functors and categories (Mac Lane, 1971 ).

Schema of an individual with pragmatic cognition in a situation where he chooses his relationship with his partner. An individual calculates the utility for himself (or for society) if he chooses cooperation with his partner (the switch is on), and then calculates the utility if he chooses confrontation with his partner (the switch is off). After comparing the results, he makes the optimal decision. 4. The individual substitutes 'good' or 'evil' for his own intention and his partner's intention; then he finds the relation between them and the mechanism of moral evaluation begins to operate.

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Abstract algebra by Dummit D. S


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