[0] "Fakery" including scoring the wood. But multiple breaks usually takes some setup, such as putting small spacers between the pieces of whatever you're breaking. If you consider that fakery, then ... I guess?
the force required to break a beam is proportional to the square of its thickness, so breaking one two-inch board requires the same force as a stack of four one-inch boards
That's just your interpretation.
If a man breaks /n/ boards which were not pre-cut, then he broke /n/ boards.
Logically, the claim "I can break X boards" evaluates to true if there exists some configuration of X boards which that person can break. They aren't claiming "I can break X boards for all possible configurations of those boards".
No one can break even one board unqualified, because the board could be 20 inches thick and made of lignum vitae. Thus by your definition the phrase "can break a board" becomes useless.