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Apart from quantifiers that refer to a unique singularity, like there is and once, they necessarily imply a distributive concept: multiple similar things.
Even in the case of there is and once, logical analysis views many of these as distributive statements equivalent to, out of all cases there is at least one.
Hence literature seeking to explain quantification in natural language ( λx in Montague grammar ) often refers to distributive constructions, and vice versa.

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