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From The Collaborative International Dictionary of English v.0.48:
Quantification \Quan`ti*fi*ca"tion\, n. [See Quantity.] Modification by a reference to quantity; the introduction of the element of quantity. [1913 Webster] The quantification of the predicate belongs in part to Sir William Hamilton; viz., in its extension to negative propositions. --De Quincey. [1913 Webster]