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SEMANTICS: a particular type of generalized quantifier Q (Q =/= 0) which obeys the condition in (i):

(i)  for all X,Y subset E: (X in Q and Y in Q) <=>
     union(X,Y) in Q
Only N, no N and none of the N are examples of ideals; not all N and at most N are not. The condition in (i) captures the contrast in (ii).
(ii) a Only dogs bark and only dogs run <=> 
       only dogs bark or run
     b Not all dogs bark and not all dogs run <=/=> 
       not all dogs bark or run

LIT. Zwarts, F. (1981)