An Introduction to Fuzzy Quantification: Origins and Basic Concepts .- A Framework for Fuzzy Quantification Models .- Class axioms that make sense Semantic Properties of the Model .- .- .- Model Specific Subclass Special Semantical Properties and Limits .- Model Theory Defined in Three-piece frame Honorable and Fuzzy Aggregation .--Median Model Defined in the framework of Upper and Lower Bounds in the Three Pieces honorable .- Full Model Class Defined in the context of the Three-Class Model Cuts honorable .- Based on the Extension Principle .- The implementation of quantifiers in Model .- Multiple Variable Binding and Branching Quantification .- Discussion.