The primary type is probably the application of a theory of justified dismissal, such as a theory of error or insanity, to critics and dissenters. Another major type is the interpretation of criticism as behavior to be explained rather than answered.
Suber goes on to say that rudeness does not imply falsehood, and in fact, to insulate yourself from criticism on the grounds that your opponent is rude is itself rude.
In the post Logical Rudeness, Yudkowsky broadened the term to describe other offenses against the cooperative flow of debate, which might be "logically rude" even if spoken politely; for example, saying "X because Y", and then, after one side went to a great deal of trouble to test and falsify Y, saying, "Well, Y doesn't really matter, really X because Z". Similarly, ignoring all the diligent work that evolutionary biologists did to dig up previous fossils, and insisting you can only be satisfied by an actual videotape, is "logically rude" because you're ignoring evidence that someone went to a great deal of trouble to provide to you.
- Logical rudeness, in which Eliezer Yudkowsky broadens to the term to encompass other ways of breaking the flow of discussion, not just those which involve theories of justified dismissal.
- You're Entitled to Arguments, But Not (That Particular) Proof and Demands for Particular Proof: Appendices