A syntactic and semantic treatment of Japanese floating quantifiers is provided from a perspective of unification based grammatical theories and model theoretic semantics. The inventory of floating quantifiers under consideration includes not only familiar cardinals but also other quantificational elements such as universals. Syntactically, floating quantifiers are taken to be adverbial endocentric modifiers for some V-projections. Scrambling phenomena involving multiple floating quantifiers will also be accounted for without employing movement rules of any sort. Floating quantifiers function as semantic (but not syntactic) determiners (seen in the Generalized Quantifier theory) which establish a proper relationship between two sets (corres...