I was reading an article, and the writer used “with respect to” in a way I’ve never seen it before; it came at the end of a question. See it here (emphasis mine):
When assessing arguments of this sort, some important questions for consideration are these: What is the claim probable or improbable with respect to? And what is the relevant background information with respect to the claim?
The writer is talking about different arguments that each one of them says that its argument is more improbable than the argument of the other.
So my question is: to what “with respect to” refers in this question?