"intuitionistic logic" meaning in English

{
  "forms": [
    {
      "form": "intuitionistic logics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "intuitionistic logic (plural intuitionistic logics)",
      "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": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "coordinate_terms": [
        {
          "word": "classical logic"
        },
        {
          "word": "paraconsistent logic"
        }
      ],
      "glosses": [
        "A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism."
      ],
      "hypernyms": [
        {
          "word": "constructive logic"
        },
        {
          "word": "non-classical logic"
        },
        {
          "word": "paracomplete logic"
        }
      ],
      "id": "en-intuitionistic_logic-en-noun-2Pu0fE-m",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "law of excluded middle",
          "law of excluded middle"
        ],
        [
          "law of double negation",
          "law of double negation"
        ],
        [
          "Peirce's law",
          "Peirce's law"
        ],
        [
          "intuitionism",
          "intuitionism"
        ]
      ],
      "raw_glosses": [
        "(mathematics, logic) A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "translations": [
        {
          "code": "nl",
          "lang": "Dutch",
          "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
          "tags": [
            "feminine"
          ],
          "word": "intuïtionistische logica"
        },
        {
          "code": "fi",
          "lang": "Finnish",
          "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
          "word": "intuitionistinen logiikka"
        },
        {
          "code": "de",
          "lang": "German",
          "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
          "tags": [
            "feminine"
          ],
          "word": "intuitionistische Logik"
        },
        {
          "code": "is",
          "lang": "Icelandic",
          "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
          "tags": [
            "feminine"
          ],
          "word": "innsæisrökfræði"
        },
        {
          "code": "pl",
          "lang": "Polish",
          "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
          "tags": [
            "feminine"
          ],
          "word": "logika intuicjonistyczna"
        },
        {
          "code": "ro",
          "lang": "Romanian",
          "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
          "tags": [
            "feminine"
          ],
          "word": "logică intuiționistă"
        }
      ],
      "wikipedia": [
        "intuitionistic logic"
      ]
    }
  ],
  "word": "intuitionistic logic"
}

{
  "coordinate_terms": [
    {
      "word": "classical logic"
    },
    {
      "word": "paraconsistent logic"
    }
  ],
  "forms": [
    {
      "form": "intuitionistic logics",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "intuitionistic logic (plural intuitionistic logics)",
      "name": "en-noun"
    }
  ],
  "hypernyms": [
    {
      "word": "constructive logic"
    },
    {
      "word": "non-classical logic"
    },
    {
      "word": "paracomplete logic"
    }
  ],
  "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",
        "en:Logic",
        "en:Mathematics"
      ],
      "glosses": [
        "A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "logic",
          "logic"
        ],
        [
          "law of excluded middle",
          "law of excluded middle"
        ],
        [
          "law of double negation",
          "law of double negation"
        ],
        [
          "Peirce's law",
          "Peirce's law"
        ],
        [
          "intuitionism",
          "intuitionism"
        ]
      ],
      "raw_glosses": [
        "(mathematics, logic) A type of logic which rejects the axiom law of excluded middle or, equivalently, the law of double negation and/or Peirce's law. It is the foundation of intuitionism."
      ],
      "topics": [
        "human-sciences",
        "logic",
        "mathematics",
        "philosophy",
        "sciences"
      ],
      "wikipedia": [
        "intuitionistic logic"
      ]
    }
  ],
  "translations": [
    {
      "code": "nl",
      "lang": "Dutch",
      "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
      "tags": [
        "feminine"
      ],
      "word": "intuïtionistische logica"
    },
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
      "word": "intuitionistinen logiikka"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
      "tags": [
        "feminine"
      ],
      "word": "intuitionistische Logik"
    },
    {
      "code": "is",
      "lang": "Icelandic",
      "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
      "tags": [
        "feminine"
      ],
      "word": "innsæisrökfræði"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
      "tags": [
        "feminine"
      ],
      "word": "logika intuicjonistyczna"
    },
    {
      "code": "ro",
      "lang": "Romanian",
      "sense": "a type of logic which rejects the axiom \"law of excluded middle\"",
      "tags": [
        "feminine"
      ],
      "word": "logică intuiționistă"
    }
  ],
  "word": "intuitionistic logic"
}