Pocketing the question

From Issuepedia

About

Pocketing the question is a rhetorical deception in which a question is supposedly answered, but in fact the answer leaves one or more other questions unasked. The "explainer" is, in this case, moving the question around enough that you don't notice that it has not really been answered -- having been deftly hidden in the explainer's (metaphorical) pocket.

Begging the Question

This is equivalent to one common (but apparently inaccurate) usage of the phrase "begging the question", in the sense that the answer provided to one question "begs" for another question to be asked. (The phrase "begging the question" traditionally refers to a form of circular argument.)