explain why boolean algebra is called two value argument
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In a Boolean algebra a set of elements is closed under two commutative binary operations that can be described by any of various systems of postulates, all of which can be deduced from the basic 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 that combines with the first under either of the operations to yield the identity element of the other.
The ordinary algebra (in which the elements are the real numbers and the commutative binary operations are addition and multiplication) does not satisfy all the requirements of a Boolean algebra. The set of real numbers is closed under the two operations (that is, the sum or the product of two real numbers also is a real number); identity elements exist—0 for addition and 1 for multiplication (that is, a + 0 = a and a × 1 = a for any real number a); and multiplication is distributive over addition (that is, a × [b + c] = [a × b] + [a × c]); but addition is not distributive over multiplication (that is, a + [b × c] does not, in general, equal [a + b] × [a + c]).
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