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Published online by Cambridge University Press: 22 April 2026
Otto Jespersen 1917 pointed out that the normal meaning of the negation of a quantitative term Q is ‘less than Q’. This fact is shown to stem from the possibility of interpreting Q as ‘at least Q’ in some non-negative environments. The analysis is extended beyond quantifiers per se to other terms involved in inclusion relations, and it is shown that such relations play a role in determining the acceptability of various grammatical constructions.