"material conditional" meaning in English

{
  "forms": [
    {
      "form": "material conditionals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "material conditional (plural material conditionals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "'A ⊃ B' represents a material conditional."
        }
      ],
      "glosses": [
        "A type of conditional statement used in formal logic and defined as true whenever its antecedent is false or its consequent is true, and false when its antecedent is true and its consequent is false. Sometimes argued to be equivalent to the indicative conditional in natural language."
      ],
      "id": "en-material_conditional-en-noun-1Lx~juEa",
      "links": [
        [
          "conditional",
          "conditional"
        ],
        [
          "formal logic",
          "formal logic"
        ],
        [
          "antecedent",
          "antecedent"
        ],
        [
          "consequent",
          "consequent"
        ],
        [
          "indicative conditional",
          "indicative conditional"
        ]
      ],
      "synonyms": [
        {
          "word": "conditional"
        },
        {
          "word": "if-then statement"
        },
        {
          "word": "horseshoe conditional"
        },
        {
          "word": "Philonian conditional"
        }
      ]
    }
  ],
  "word": "material conditional"
}

{
  "forms": [
    {
      "form": "material conditionals",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "material conditional (plural material conditionals)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns"
      ],
      "examples": [
        {
          "text": "'A ⊃ B' represents a material conditional."
        }
      ],
      "glosses": [
        "A type of conditional statement used in formal logic and defined as true whenever its antecedent is false or its consequent is true, and false when its antecedent is true and its consequent is false. Sometimes argued to be equivalent to the indicative conditional in natural language."
      ],
      "links": [
        [
          "conditional",
          "conditional"
        ],
        [
          "formal logic",
          "formal logic"
        ],
        [
          "antecedent",
          "antecedent"
        ],
        [
          "consequent",
          "consequent"
        ],
        [
          "indicative conditional",
          "indicative conditional"
        ]
      ]
    }
  ],
  "synonyms": [
    {
      "word": "conditional"
    },
    {
      "word": "if-then statement"
    },
    {
      "word": "horseshoe conditional"
    },
    {
      "word": "Philonian conditional"
    }
  ],
  "word": "material conditional"
}