%0 Journal Article %T On quantification with a finite universe %A Saharon Shelah %J Mathematics %D 1998 %I arXiv %X We consider a finite universe U (more exactly - a family U of them) and second order quantifiers Q_K, where for each U this means quantifying over a family of n(K)-place relations closed under permuting U. We define some natural orders and shed some light on the classification problem of those quantifiers. %U http://arxiv.org/abs/math/9809201v1