%0 Journal Article %T Collective Property of Numbers and Its Mathematical Refutation %A Guang-Liang Li %A Victor O. K. Li %J Mathematics %D 2008 %I arXiv %X A number has the "collective" property if the number is the greatest lower bound of a bounded, strictly decreasing sequence on the real line. We prove that numbers with the collective property constitute an empty set. %U http://arxiv.org/abs/0812.3545v1