Download Algebra of Conscience: A Comparative Analysis of Western and by V.A. Lefebvre PDF

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By V.A. Lefebvre

In this ebook moral platforms are defined within the language of arithmetic. normally arithmetic is believed to be a technology of volume. certainly, manipulation of amounts constitutes a lot of arithmetic. straight forward utilized arithmetic offers with reckoning and dimension, the place concrete amounts are gadgets of cognizance, corresponding to counting sheep or weighing corno however the operations on those amounts are played with the aid of symbols, from which concrete referents were 'abstracted out': three + five = eight whether the symbols stand for numbers of sheep or lots of corno therefore, the 1st precept that indicates the facility of arithmetic is abstraction. it really is one ofthe 3 pillars on which the edifice of arithmetic rests. one other pillar is precision. typically, guy communicates by way of phrases. W ords serve communique to the level that they confer with issues, occasions, states of affairs, emotions of the speaker, and so forth. those are the meanings attributed to phrases. conversation is profitable to the level that the meanings coded upon phrases via the speaker correspond to the meanings decoded by means of the hearer. As is weH recognized, the measure ofthis correspondence varies greatly in several contexts of discourse and with the again­ grounds or attitudes of the audio system and hearers. arithmetic is a language during which the meanings ofthe symbols (the 'words' ofthis language) are totally distinct. This precision is completed via abstraction. summary phrases are outlined via their kin to different phrases and through not anything else.

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Example text

A (4) aO (2) (aby=a b. c (5) al (3) (a. b)< = aC • bC (6) 1a = 1. b=1 (14) aa+b + ba+b = 1 (15) (13) ab + ba = 1 (16) (a + b)a = 1 a'j = a The Equation (10) may be rewritten as 0° = a. This allows us to include 14 CHAPTER 111 the concept oflogarithm into Boolean algebra (Lefebvre, 1977b). We define logarithm to the base 0 as der. logo a = ä. Thus, taking the logarithm corresponds to the unary operation of negation. The next formulae follow from the definition of a logarithm: (1) logo (a • b) = logo a + logo b (2) logo ba = a .

In our schematic reasoning we will suppose that each action of an individual is normatively evaluated as either good or bad. An individual has either to perform or refuse to perform an action proposed by the environment. We will now show that the formal individual introduced in the previous chapter may be considered as an automaton processing the environment's demands as his 'inputs'. 1): The input and output alphabets have two symbols: 1 and O. The transformation is a Boolean function, which we will write in the exponential form representing an individual.

C (5) al (3) (a. b)< = aC • bC (6) 1a = 1. b=1 (14) aa+b + ba+b = 1 (15) (13) ab + ba = 1 (16) (a + b)a = 1 a'j = a The Equation (10) may be rewritten as 0° = a. This allows us to include 14 CHAPTER 111 the concept oflogarithm into Boolean algebra (Lefebvre, 1977b). We define logarithm to the base 0 as der. logo a = ä. Thus, taking the logarithm corresponds to the unary operation of negation. The next formulae follow from the definition of a logarithm: (1) logo (a • b) = logo a + logo b (2) logo ba = a .

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