Final answer:
In logic, deductive inferences can be classified as valid or invalid. A valid inference guarantees the truth of the conclusion if the premises are true. Different systems of logic may have different rules and principles, so what may be valid in one system might not be valid in another.
Step-by-step explanation:
In logic, deductive inferences can be classified as valid or invalid. A valid inference is one where the structure of the argument guarantees the truth of the conclusion if the premises are true. An invalid inference, on the other hand, does not guarantee the truth of the conclusion even if the premises are true.
In the example you provided, the inference is valid in classical logic because assuming (1) if a follows b and (2) not b, it logically follows that (3) not a. However, there are other systems of logic, such as Buddhist logic, that may have different rules and may consider this inference to be invalid.
It's important to note that different systems of logic have different rules and principles, so what may be a valid inference in one system might not be valid in another.