Final answer:
The statement that a logical operator always results in null with null operands is false, as the behavior depends on the specific operation and how the programming language or database system handles nulls. Logical operations like 'IS NULL' specifically handle null values, while classical logic like the Law of the Excluded Middle does not directly apply to nulls.
Step-by-step explanation:
The statement that a logical operator always evaluates to null when one or both operands are null is False. In logical operations, the presence of a null operand can lead to a null result in some cases but not always. For example, in SQL, a logical comparison with null using the equals (=) or not equals (<>) operator will result in null because null is not considered equal or not equal to any value. However, certain logical operations specifically handle nulls. For instance, the IS NULL operation will yield true if the operand is indeed null.
It is important to note that the Law of the Excluded Middle from traditional logic, which states that for any proposition, either that proposition or its negation is true, does not account for null values. In the context of databases and programming languages that support three-valued logic, where a statement can be true, false, or null (undefined), this law does not apply directly.