"never the twain shall meet" meaning in English

{
  "etymology_text": "From the poem The Ballad of East and West.",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "phrase"
      },
      "expansion": "never the twain shall meet",
      "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": "English negative polarity items",
          "parents": [
            "Negative polarity items",
            "Terms by semantic function"
          ],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w"
        },
        {
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "ref": "1981 December 27, Charles Bonnell, “Throwing In The Towel”, in Gay Community News, volume 9, number 23, page 5:",
          "text": "In Silverstein's terms, Frank is an \"excitement seeker\" and the lover is a \"home builder.\" Never the twain shall meet. Again, for a while I saw the conflict between the two in the movie as a refreshing examination of a problem many gay couples (of both sexes) face. But […]",
          "type": "quote"
        }
      ],
      "glosses": [
        "Used to emphasize that two subjects are so different that they cannot coexist or agree with each other."
      ],
      "id": "en-never_the_twain_shall_meet-en-phrase-uGnRg4BN",
      "raw_glosses": [
        "(idiomatic) Used to emphasize that two subjects are so different that they cannot coexist or agree with each other."
      ],
      "related": [
        {
          "word": "apples and oranges"
        }
      ],
      "tags": [
        "idiomatic"
      ],
      "wikipedia": [
        "The Ballad of East and West"
      ]
    }
  ],
  "word": "never the twain shall meet"
}

{
  "etymology_text": "From the poem The Ballad of East and West.",
  "head_templates": [
    {
      "args": {
        "1": "en",
        "2": "phrase"
      },
      "expansion": "never the twain shall meet",
      "name": "head"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "phrase",
  "related": [
    {
      "word": "apples and oranges"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English idioms",
        "English lemmas",
        "English multiword terms",
        "English negative polarity items",
        "English phrases",
        "English terms with quotations",
        "Pages with 1 entry",
        "Pages with entries"
      ],
      "examples": [
        {
          "ref": "1981 December 27, Charles Bonnell, “Throwing In The Towel”, in Gay Community News, volume 9, number 23, page 5:",
          "text": "In Silverstein's terms, Frank is an \"excitement seeker\" and the lover is a \"home builder.\" Never the twain shall meet. Again, for a while I saw the conflict between the two in the movie as a refreshing examination of a problem many gay couples (of both sexes) face. But […]",
          "type": "quote"
        }
      ],
      "glosses": [
        "Used to emphasize that two subjects are so different that they cannot coexist or agree with each other."
      ],
      "raw_glosses": [
        "(idiomatic) Used to emphasize that two subjects are so different that they cannot coexist or agree with each other."
      ],
      "tags": [
        "idiomatic"
      ],
      "wikipedia": [
        "The Ballad of East and West"
      ]
    }
  ],
  "word": "never the twain shall meet"
}