{
  "aliases": [
    "axiom-of-symmetry",
    "freiling-axiom-of-symmetry",
    "freilings-axioms-of-symmetry"
  ],
  "backlinks": null,
  "body": "\n## Statement\n\n**Freiling's axiom of symmetry ($\\texttt{AX}$)** is a set-theoretic axiom proposed by Chris Freiling. It is based on an intuition of Stuart Davidson but the mathematics behind it goes back to Wacław Sierpiński.\n",
  "commit": "4a3290d299c8b2cd6493fce2296920ba7f82d942",
  "front": {
    "aliases": [
      "axiom-of-symmetry",
      "freiling-axiom-of-symmetry",
      "freilings-axioms-of-symmetry"
    ],
    "inventory": [
      "BYFCT6N868"
    ],
    "kind": "statement",
    "name": "Freiling's axiom of symmetry",
    "role": "proposition",
    "same_as": {
      "wikidata": "Q2276975",
      "wikipedia": "Freiling's axiom of symmetry"
    },
    "sources": [
      {
        "locator": "Freiling's axiom of symmetry",
        "mention": "wikipedia://en/162267",
        "note": "adopted",
        "sections": [
          "Statement"
        ],
        "wikipedia": "en:162267@r1376169145"
      }
    ],
    "tag": "JY4PVW89BX"
  },
  "kind": "statement",
  "link": "https://math2.tamnd.com/node/JY4PVW89BX/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/JY4PVW89BX.md",
  "msc": null,
  "name": "Freiling's axiom of symmetry",
  "prov": null,
  "role": "proposition",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/JY4/JY4PVW89BX.md",
  "status": null,
  "tag": "JY4PVW89BX",
  "uri": "m2://JY4PVW89BX",
  "url": "https://math2.tamnd.com/wiki/freilings-axiom-of-symmetry/",
  "writing": {
    "tag": "JY4PVW89BX",
    "kind": "statement",
    "level": "W0",
    "next": [
      {
        "what": "edge uses out",
        "note": "each definition that the statement needs",
        "have": 0,
        "want": 1
      }
    ]
  }
}