"modus tollens" meaning in English

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "",
        "4": "modus tollendō tollēns",
        "t": "the mode where the denying denies"
      },
      "expansion": "Latin modus tollendō tollēns (“the mode where the denying denies”)",
      "name": "der"
    },
    {
      "args": {
        "1": "la",
        "2": "modus",
        "t": "mode"
      },
      "expansion": "modus (“mode”)",
      "name": "m"
    },
    {
      "args": {
        "1": "la",
        "2": "tollō",
        "t": "I take away"
      },
      "expansion": "tollō (“I take away”)",
      "name": "m"
    }
  ],
  "etymology_text": "From Latin modus tollendō tollēns (“the mode where the denying denies”), from modus (“mode”) and forms of tollō (“I take away”).",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "modus tollens (uncountable)",
      "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"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Logic",
          "orig": "en:Logic",
          "parents": [
            "Formal sciences",
            "Philosophy",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Philosophy",
          "orig": "en:Philosophy",
          "parents": [
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "examples": [
        {
          "text": "1. If P, then Q."
        },
        {
          "text": "2. Not Q."
        },
        {
          "text": "3. Therefore, not P."
        }
      ],
      "glosses": [
        "A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form:",
        "A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form"
      ],
      "hypernyms": [
        {
          "word": "inference rule"
        }
      ],
      "id": "en-modus_tollens-en-noun-9xgM2V8m",
      "links": [
        [
          "philosophy",
          "philosophy"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "valid",
          "valid"
        ],
        [
          "argument",
          "argument"
        ],
        [
          "consequent",
          "consequent"
        ],
        [
          "conditional",
          "conditional"
        ],
        [
          "proposition",
          "proposition"
        ],
        [
          "denied",
          "deny"
        ],
        [
          "imply",
          "imply"
        ],
        [
          "antecedent",
          "antecedent"
        ]
      ],
      "raw_glosses": [
        "(philosophy, logic) A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form:"
      ],
      "related": [
        {
          "word": "modus ponens"
        }
      ],
      "synonyms": [
        {
          "tags": [
            "initialism"
          ],
          "word": "MT"
        }
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "translations": [
        {
          "code": "de",
          "lang": "German",
          "sense": "a valid form of argument in which the consequent of a condition proposition is denied",
          "tags": [
            "masculine"
          ],
          "word": "Modus tollens"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "a valid form of argument in which the consequent of a condition proposition is denied",
          "tags": [
            "masculine"
          ],
          "word": "neitunarháttur"
        },
        {
          "code": "fa",
          "lang": "Persian",
          "roman": "nafy-e tâli",
          "sense": "a valid form of argument in which the consequent of a condition proposition is denied",
          "word": "نفی تالی"
        }
      ],
      "wikipedia": [
        "modus tollens"
      ]
    }
  ],
  "word": "modus tollens"
}

{
  "etymology_templates": [
    {
      "args": {
        "1": "en",
        "2": "la",
        "3": "",
        "4": "modus tollendō tollēns",
        "t": "the mode where the denying denies"
      },
      "expansion": "Latin modus tollendō tollēns (“the mode where the denying denies”)",
      "name": "der"
    },
    {
      "args": {
        "1": "la",
        "2": "modus",
        "t": "mode"
      },
      "expansion": "modus (“mode”)",
      "name": "m"
    },
    {
      "args": {
        "1": "la",
        "2": "tollō",
        "t": "I take away"
      },
      "expansion": "tollō (“I take away”)",
      "name": "m"
    }
  ],
  "etymology_text": "From Latin modus tollendō tollēns (“the mode where the denying denies”), from modus (“mode”) and forms of tollō (“I take away”).",
  "head_templates": [
    {
      "args": {
        "1": "-"
      },
      "expansion": "modus tollens (uncountable)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "inference rule"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "modus ponens"
    }
  ],
  "senses": [
    {
      "categories": [
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "English terms derived from Latin",
        "English uncountable nouns",
        "en:Logic",
        "en:Philosophy"
      ],
      "examples": [
        {
          "text": "1. If P, then Q."
        },
        {
          "text": "2. Not Q."
        },
        {
          "text": "3. Therefore, not P."
        }
      ],
      "glosses": [
        "A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form:",
        "A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form"
      ],
      "links": [
        [
          "philosophy",
          "philosophy"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "valid",
          "valid"
        ],
        [
          "argument",
          "argument"
        ],
        [
          "consequent",
          "consequent"
        ],
        [
          "conditional",
          "conditional"
        ],
        [
          "proposition",
          "proposition"
        ],
        [
          "denied",
          "deny"
        ],
        [
          "imply",
          "imply"
        ],
        [
          "antecedent",
          "antecedent"
        ]
      ],
      "raw_glosses": [
        "(philosophy, logic) A valid form of argument in which the consequent of a conditional proposition is denied, thus implying the denial of the antecedent. Modus tollens has this form:"
      ],
      "tags": [
        "uncountable"
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "modus tollens"
      ]
    }
  ],
  "synonyms": [
    {
      "tags": [
        "initialism"
      ],
      "word": "MT"
    }
  ],
  "translations": [
    {
      "code": "de",
      "lang": "German",
      "sense": "a valid form of argument in which the consequent of a condition proposition is denied",
      "tags": [
        "masculine"
      ],
      "word": "Modus tollens"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "a valid form of argument in which the consequent of a condition proposition is denied",
      "tags": [
        "masculine"
      ],
      "word": "neitunarháttur"
    },
    {
      "code": "fa",
      "lang": "Persian",
      "roman": "nafy-e tâli",
      "sense": "a valid form of argument in which the consequent of a condition proposition is denied",
      "word": "نفی تالی"
    }
  ],
  "word": "modus tollens"
}