Universal #1206

Legacy number: 1206

 Number  1202
 Original  Monotonicity correspondence universal:
There is a simple NP which expresses the monotone decreasing quantifier ~Q if and only if there is a simple NP with a weak non-cardinal determiner which expresses the monotone increasing quantifier Q.
 Standardized  Monotonicity correspondence universal:
There is a simple NP which expresses the monotone decreasing quantifier ~Q if and only if there is a simple NP with a weak non-cardinal determiner which expresses the monotone increasing quantifier Q.
 Keywords  quantification, monotonicity, determiner, negation
 Domain  syntax, semantics
 Type  mutual implication
 Status  achronic
 Quality  absolute
 Basis  unspecified
 Source  Barwise & Cooper 1981: 186, U5

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Discussion
Counterexamples
Notes
Some instances of English monotone decreasing quantifiers vs. monotone increasing quantifiers are:(1) ‘no man/men’, ‘neither man’ vs. ‘some man/men’, ‘a man’;(2) ‘few men’ vs. ‘many men’, ‘several men’; (3) ‘nobody’ vs. ‘some person’
Comment
Frans Plank · 3 Aug 2006
Some instances of English monotone decreasing quantifiers vs. monotone increasing quantifiers are:

(1) 'no man/men', 'neither man' vs. 'some man/men', 'a man';
(2) 'few men' vs. 'many men', 'several men';
(3) 'nobody' vs. 'some person'