"vacuous truth" meaning in English

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    {
      "form": "vacuous truths",
      "tags": [
        "plural"
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  ],
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      "expansion": "vacuous truth (plural vacuous truths)",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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            "Philosophy",
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      "glosses": [
        "A proposition which is true only because it is a conditional statement with a necessarily false premise, or which asserts a property of all elements of an empty domain of discourse."
      ],
      "id": "en-vacuous_truth-en-noun-Q7iU5tYJ",
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          "logic",
          "logic"
        ],
        [
          "proposition",
          "proposition"
        ],
        [
          "true",
          "true"
        ],
        [
          "conditional",
          "conditional"
        ],
        [
          "statement",
          "statement"
        ],
        [
          "false",
          "false"
        ],
        [
          "premise",
          "premise"
        ],
        [
          "property",
          "property"
        ],
        [
          "element",
          "element"
        ],
        [
          "empty",
          "empty"
        ],
        [
          "domain of discourse",
          "domain of discourse"
        ]
      ],
      "raw_glosses": [
        "(logic) A proposition which is true only because it is a conditional statement with a necessarily false premise, or which asserts a property of all elements of an empty domain of discourse."
      ],
      "related": [
        {
          "word": "principle of explosion"
        }
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "vacuous truth"
      ]
    }
  ],
  "word": "vacuous truth"
}

{
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      "form": "vacuous truths",
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  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "principle of explosion"
    }
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      "glosses": [
        "A proposition which is true only because it is a conditional statement with a necessarily false premise, or which asserts a property of all elements of an empty domain of discourse."
      ],
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        [
          "logic",
          "logic"
        ],
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        "(logic) A proposition which is true only because it is a conditional statement with a necessarily false premise, or which asserts a property of all elements of an empty domain of discourse."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
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      "wikipedia": [
        "vacuous truth"
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  "word": "vacuous truth"
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