{
  "id": "1302.0828",
  "version": "v1",
  "published": "2013-02-04T20:37:08.000Z",
  "updated": "2013-02-04T20:37:08.000Z",
  "title": "Separating principles below Ramsey's Theorem for Pairs",
  "authors": [
    "Manuel Lerman",
    "Reed Solomon",
    "Henry Towsner"
  ],
  "categories": [
    "math.LO"
  ],
  "abstract": "In recent years, there has been a substantial amount of work in reverse mathematics concerning natural mathematical principles that are provable from $\\RT$, Ramsey's Theorem for Pairs. These principles tend to fall outside of the \"big five\" systems of reverse mathematics and a complicated picture of subsystems below $\\RT$ has emerged. In this paper, we answer two open questions concerning these subsystems, specifically that $\\ADS$ is not equivalent to $\\CAC$ and that $\\EM$ is not equivalent to $\\RT$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-02-04T20:37:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ramseys theorem",
      "separating principles",
      "mathematics concerning natural mathematical principles",
      "fall outside",
      "open questions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1302.0828L"
    }
  }
}