"tertium non datur" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "tertium non datur"
      },
      "expansion": "Borrowed from Latin tertium non datur",
      "name": "bor+"
    },
    {
      "args": {
        "1": "A third thing is not given."
      },
      "expansion": "“A third thing is not given.”",
      "name": "m-g"
    },
    {
      "args": {
        "1": "A third thing is not given."
      },
      "expansion": "Literally, “A third thing is not given.”",
      "name": "lit"
    }
  ],
  "etymology_text": "Borrowed from Latin tertium non datur. Literally, “A third thing is not given.”.",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "phrase",
        "nolinkhead": "1"
      },
      "expansion": "tertium non datur",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "phrase",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Entries with translation boxes",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 2 entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Azerbaijani translations",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Terms with Russian translations",
          "parents": [],
          "source": "w"
        }
      ],
      "glosses": [
        "For every proposition, either it is true or its negation is true."
      ],
      "id": "en-tertium_non_datur-en-phrase-WLMeN1lB",
      "links": [
        [
          "proposition",
          "proposition"
        ],
        [
          "negation",
          "negation"
        ]
      ],
      "related": [
        {
          "word": "law of excluded middle"
        }
      ],
      "translations": [
        {
          "code": "az",
          "lang": "Azerbaijani",
          "sense": "there are only two possibilities",
          "word": "üçüncüsü yoxdur"
        },
        {
          "code": "ru",
          "lang": "Russian",
          "roman": "tretʹjevo ne dano",
          "sense": "there are only two possibilities",
          "word": "третьего не дано"
        }
      ]
    }
  ],
  "word": "tertium non datur"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "tertium non datur"
      },
      "expansion": "Borrowed from Latin tertium non datur",
      "name": "bor+"
    },
    {
      "args": {
        "1": "A third thing is not given."
      },
      "expansion": "“A third thing is not given.”",
      "name": "m-g"
    },
    {
      "args": {
        "1": "A third thing is not given."
      },
      "expansion": "Literally, “A third thing is not given.”",
      "name": "lit"
    }
  ],
  "etymology_text": "Borrowed from Latin tertium non datur. Literally, “A third thing is not given.”.",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "phrase",
        "nolinkhead": "1"
      },
      "expansion": "tertium non datur",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "phrase",
  "related": [
    {
      "word": "law of excluded middle"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English phrases",
        "English terms borrowed from Latin",
        "English terms derived from Latin",
        "Entries with translation boxes",
        "Pages with 2 entries",
        "Pages with entries",
        "Terms with Azerbaijani translations",
        "Terms with Russian translations"
      ],
      "glosses": [
        "For every proposition, either it is true or its negation is true."
      ],
      "links": [
        [
          "proposition",
          "proposition"
        ],
        [
          "negation",
          "negation"
        ]
      ]
    }
  ],
  "translations": [
    {
      "code": "az",
      "lang": "Azerbaijani",
      "sense": "there are only two possibilities",
      "word": "üçüncüsü yoxdur"
    },
    {
      "code": "ru",
      "lang": "Russian",
      "roman": "tretʹjevo ne dano",
      "sense": "there are only two possibilities",
      "word": "третьего не дано"
    }
  ],
  "word": "tertium non datur"
}