material nonimplication in English

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{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "material nonimplication (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
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          "orig": "en:Logic",
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      "glosses": [
        "The negation of material implication, such that for any two propositions P and Q, the material nonimplication from P to Q is true if and only if the negation of the material implication from P to Q is true."
      ],
      "id": "en-material_nonimplication-en-noun-11QEZHUz",
      "links": [
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        ],
        [
          "negation",
          "negation"
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        [
          "material implication",
          "material implication"
        ]
      ],
      "raw_glosses": [
        "(logic) The negation of material implication, such that for any two propositions P and Q, the material nonimplication from P to Q is true if and only if the negation of the material implication from P to Q is true."
      ],
      "synonyms": [
        {
          "word": "abjunction"
        }
      ],
      "tags": [
        "uncountable"
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      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "material nonimplication"
}

[Show JSON for raw wiktextract data ▼] [Hide JSON for raw wiktextract data ▲]

{
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "material nonimplication (uncountable)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
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        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
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        "Pages with entries",
        "en:Logic"
      ],
      "glosses": [
        "The negation of material implication, such that for any two propositions P and Q, the material nonimplication from P to Q is true if and only if the negation of the material implication from P to Q is true."
      ],
      "links": [
        [
          "logic",
          "logic"
        ],
        [
          "negation",
          "negation"
        ],
        [
          "material implication",
          "material implication"
        ]
      ],
      "raw_glosses": [
        "(logic) The negation of material implication, such that for any two propositions P and Q, the material nonimplication from P to Q is true if and only if the negation of the material implication from P to Q is true."
      ],
      "synonyms": [
        {
          "word": "abjunction"
        }
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        "uncountable"
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      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ]
    }
  ],
  "word": "material nonimplication"
}

This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2025-07-20 from the enwiktionary dump dated 2025-07-01 using wiktextract (45c4a21 and f1c2b61). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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"material nonimplication" meaning in English

Noun