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Collective Property of Numbers and Its Mathematical Refutation

General Mathematics 2008-12-19 v1

Abstract

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.

Keywords

Cite

@article{arxiv.0812.3545,
  title  = {Collective Property of Numbers and Its Mathematical Refutation},
  author = {Guang-Liang Li and Victor O. K. Li},
  journal= {arXiv preprint arXiv:0812.3545},
  year   = {2008}
}

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4 pages