{ "id": "1111.6991", "version": "v2", "published": "2011-11-29T21:25:37.000Z", "updated": "2011-12-01T19:21:10.000Z", "title": "Simple proof of Zermelo's theorem", "authors": [ "V. V. Filippov", "E. Yu. Mychka" ], "comment": "2 pages", "categories": [ "math.GN" ], "abstract": "Most of the assertions in the theory of well ordered sets are quite simple. However, one of its central statements, Zermelo's theorem, stands out of this rule, for its well-known proofs are rather complicated. The aim of the current paper is to propose a simple proof of this theorem. Please inform us if you ever encountered such a proof.", "revisions": [ { "version": "v2", "updated": "2011-12-01T19:21:10.000Z" } ], "analyses": { "keywords": [ "zermelos theorem", "simple proof", "quite simple", "central statements", "well-known proofs" ], "note": { "typesetting": "TeX", "pages": 2, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1111.6991F" } } }