Identity Law In Discrete Mathematics
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FAQ
So the identity law, p?T?p, means that the conjunction of any sentence p with an arbitrary tautology T will always have the same truth value as p (i.e., will be logically equivalent with p).
Note: The Law of Identity is one of the Boolean Laws; it includes two terms: 1 AND A = A means a product of 1 and any number or variable is the same number and variable and 0 OR A = A means a sum of 0 and any number or variable is the same number or variable.
An identity in mathematics is a relationship between two mathematical expressions A and B such that A and B generate the same value for all values of the variables within a specified range of validity. ing to the law of identity, if a statement has been determined to be true, it is true.
In logic, the law of identity states that each thing is identical with itself. It is the first of the historical three laws of thought, along with the law of noncontradiction, and the law of excluded middle. However, few systems of logic are built on just these laws.
