"nonetheless" meaning in English

{
  "categories": [
    {
      "kind": "other",
      "name": "Adverbs",
      "parents": [],
      "source": "w"
    }
  ],
  "forms": [
    {
      "form": "nonetheless",
      "tags": [
        "positive"
      ]
    },
    {
      "form": "–",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "Superlative–"
    }
  ],
  "head_templates": [
    {
      "expansion": "[POS TABLE]",
      "name": "adverb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "Formal",
          "parents": [],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "It's raining, but we're going to eat outside nonetheless."
        },
        {
          "text": "The British were very interested in starting talks. Nonetheless, it was the Americans who actually got things organised."
        }
      ],
      "glosses": [
        "When x is true, and nonetheless y is true, then x being true didn't stop y from being true."
      ],
      "id": "simple-nonetheless-en-adv-z29Q92mt",
      "raw_tags": [
        "sentence adverb",
        "formal"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌnʌnðəˈlɛs/"
    },
    {
      "sampa": "/%nVnD@\"lEs/"
    },
    {
      "audio": "En-us-nonetheless.ogg",
      "raw_tags": [
        "Audio"
      ],
      "tags": [
        "US"
      ]
    }
  ],
  "word": "nonetheless"
}

{
  "categories": [
    "Adverbs"
  ],
  "forms": [
    {
      "form": "nonetheless",
      "tags": [
        "positive"
      ]
    },
    {
      "form": "–",
      "tags": [
        "comparative"
      ]
    },
    {
      "form": "Superlative–"
    }
  ],
  "head_templates": [
    {
      "expansion": "[POS TABLE]",
      "name": "adverb"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "adv",
  "senses": [
    {
      "categories": [
        "Formal",
        "Sentence adverbs"
      ],
      "examples": [
        {
          "text": "It's raining, but we're going to eat outside nonetheless."
        },
        {
          "text": "The British were very interested in starting talks. Nonetheless, it was the Americans who actually got things organised."
        }
      ],
      "glosses": [
        "When x is true, and nonetheless y is true, then x being true didn't stop y from being true."
      ],
      "raw_tags": [
        "sentence adverb",
        "formal"
      ]
    }
  ],
  "sounds": [
    {
      "ipa": "/ˌnʌnðəˈlɛs/"
    },
    {
      "sampa": "/%nVnD@\"lEs/"
    },
    {
      "audio": "En-us-nonetheless.ogg",
      "raw_tags": [
        "Audio"
      ],
      "tags": [
        "US"
      ]
    }
  ],
  "word": "nonetheless"
}