"This statement is false,” e.g. (7)

I believe the answer is:

paradox

(Other definitions for paradox that I've seen before include "Seemingly inconsistent statement" , "Anomaly" , "Ambiguity" , "Absurd or self-contradictory statement" , "Seemingly sound, though self-contradictory, statement" .)

I've seen this clue in The Wall Street Journal.

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