Board Thread:Questions and Answers/@comment-5935499-20170712062741/@comment-28462499-20170712070009

Metalogic is not 'logic beyond logic' - it is the logic of logic, the study of the actual structure and properties of logic, rather than the study of logical systems.

In other words, you are using logic to study logic itself, rather than a specific subject, argument, theory, etc.

Metalogic manipulation is still logic manipulation.

Another example is metamathematics, which is using mathematics to talk about mathematics.

It's all meta. "Meta" literally means "referring to itself."

Related: I'm So Meta, Even This Acronym