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Sentences for "commutative "
The entry for Boolean in L reads as follows: adj of or being a type of algebra in which logical symbols are used to represent relations between sets, and which is used entensively in the theory of computer programming < ˜ expression Under Boolean algebra , W has the following: a set that is closed under the two commutative binary operations and that can be described by any of various systems of postulates all of which can be deduced from the postulates that an identity element exists for each operation, that each operation is distributive over the other, and that for every element in the set there is another element which when combined with the first under one of the operations yields the identity element of the other operation This is very economical of space and involves a clever computer ploy, but it does not provide a particularly useful synonym dictionary, for, as we all know, synonymy in language does not yield to the commutative law of mathematics, in language, “Things equal to the same thing are not (necessarily) equal to each other.
Suppose that, perceiving all the mutual relations of men, whether they produce or exchange or consume, to be relations of commutative justice,-in a word, social relations, suppose, I say, that, perceiving this, you wish to give this natural society a legal existence, and to establish the fact by law,- I say that then you need a clear, positive, and exact expression of your whole idea,-that is, an expression which states at once the principle, the means, and the end, and I add that that expression is ASSOCIATION.
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