The name "Central Limit Theorem" is ambiguous — does it refer to a "central theorem" about limits or a theorem about "central limits"?

Edwin Jaynes (1922–98) left some interesting discussions on probability terminology (2004: 240-42). Jaynes shows that the German origin of the name means that it was originally intended to be parsed as a "central theorem", but he adds that the notion of a theorem on a "limit toward a central distribution … will be invoking just the right intuitive picture."

For myself, I find it easier to remember the meaning of the name if punctuated as "Central Limit-theorem."

Jaynes, E. T. *Probability Theory: the logic of science*. Reprint with
corrections. Cambridge: Cambridge University Press, 2004.