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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.
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).
The Identity Law is one of the Boolean Laws; it has two expressions: 1 AND A = A - the product of 1 and any number or variable is the number or variable itself. And. 0 OR A = A - the sum of 0 and any number or variable is the number or variable itself.
An example of the Law of Identity would be that a non-venomous snake is not poisonous. A person who is afraid of the non-venomous snake for fear of getting a poisonous bite is wrong and irrational because something non-venomous cannot have venom.