"Bertrand's paradox" meaning in English

See Bertrand's paradox in All languages combined, or Wiktionary

Proper name

Etymology: Named after Joseph Bertrand, French mathematician. Head templates: {{en-proper noun}} Bertrand's paradox
  1. (probability) A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite.
    Sense id: en-Bertrand's_paradox-en-name-YuPJKjtx Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Disambiguation of English entries with incorrect language header: 70 30 Disambiguation of Pages with 1 entry: 70 30 Disambiguation of Pages with entries: 72 28 Topics: mathematics, probability, sciences
  2. (economics) A hypothetical phenomenon where if the number of firms producing a product goes from one to two or more selling identical products with identical manufacturing costs, the price would be expected to decrease from the high price which one monopolistic firm would charge to a competitive at-cost price, if consumers choose which product to buy based solely on price and the firms try to undercut each other. Categories (topical): Economics
    Sense id: en-Bertrand's_paradox-en-name-AYbm0mjX Topics: economics, sciences
{
  "etymology_text": "Named after Joseph Bertrand, French mathematician.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Bertrand's paradox",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "categories": [
        {
          "_dis": "70 30",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w+disamb"
        },
        {
          "_dis": "70 30",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "72 28",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite."
      ],
      "id": "en-Bertrand's_paradox-en-name-YuPJKjtx",
      "links": [
        [
          "principle of indifference",
          "principle of indifference"
        ],
        [
          "uncritical",
          "uncritical"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "infinite",
          "infinite"
        ]
      ],
      "raw_glosses": [
        "(probability) A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite."
      ],
      "topics": [
        "mathematics",
        "probability",
        "sciences"
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Economics",
          "orig": "en:Economics",
          "parents": [
            "Social sciences",
            "Sciences",
            "Society",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A hypothetical phenomenon where if the number of firms producing a product goes from one to two or more selling identical products with identical manufacturing costs, the price would be expected to decrease from the high price which one monopolistic firm would charge to a competitive at-cost price, if consumers choose which product to buy based solely on price and the firms try to undercut each other."
      ],
      "id": "en-Bertrand's_paradox-en-name-AYbm0mjX",
      "links": [
        [
          "economics",
          "economics"
        ]
      ],
      "raw_glosses": [
        "(economics) A hypothetical phenomenon where if the number of firms producing a product goes from one to two or more selling identical products with identical manufacturing costs, the price would be expected to decrease from the high price which one monopolistic firm would charge to a competitive at-cost price, if consumers choose which product to buy based solely on price and the firms try to undercut each other."
      ],
      "topics": [
        "economics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "Bertrand paradox (economics)",
    "Joseph Bertrand"
  ],
  "word": "Bertrand's paradox"
}
{
  "categories": [
    "English entries with incorrect language header",
    "English eponyms",
    "English lemmas",
    "English multiword terms",
    "English proper nouns",
    "English uncountable nouns",
    "Pages with 1 entry",
    "Pages with entries"
  ],
  "etymology_text": "Named after Joseph Bertrand, French mathematician.",
  "head_templates": [
    {
      "args": {},
      "expansion": "Bertrand's paradox",
      "name": "en-proper noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "name",
  "senses": [
    {
      "glosses": [
        "A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite."
      ],
      "links": [
        [
          "principle of indifference",
          "principle of indifference"
        ],
        [
          "uncritical",
          "uncritical"
        ],
        [
          "domain",
          "domain"
        ],
        [
          "infinite",
          "infinite"
        ]
      ],
      "raw_glosses": [
        "(probability) A problem within the classical interpretation of probability theory, illustrating how the principle of indifference may not produce definite, well-defined results for probabilities if it is applied uncritically when the domain of possibilities is infinite."
      ],
      "topics": [
        "mathematics",
        "probability",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Economics"
      ],
      "glosses": [
        "A hypothetical phenomenon where if the number of firms producing a product goes from one to two or more selling identical products with identical manufacturing costs, the price would be expected to decrease from the high price which one monopolistic firm would charge to a competitive at-cost price, if consumers choose which product to buy based solely on price and the firms try to undercut each other."
      ],
      "links": [
        [
          "economics",
          "economics"
        ]
      ],
      "raw_glosses": [
        "(economics) A hypothetical phenomenon where if the number of firms producing a product goes from one to two or more selling identical products with identical manufacturing costs, the price would be expected to decrease from the high price which one monopolistic firm would charge to a competitive at-cost price, if consumers choose which product to buy based solely on price and the firms try to undercut each other."
      ],
      "topics": [
        "economics",
        "sciences"
      ]
    }
  ],
  "wikipedia": [
    "Bertrand paradox (economics)",
    "Joseph Bertrand"
  ],
  "word": "Bertrand's paradox"
}

Download raw JSONL data for Bertrand's paradox meaning in English (2.2kB)


This page is a part of the kaikki.org machine-readable English dictionary. This dictionary is based on structured data extracted on 2024-12-21 from the enwiktionary dump dated 2024-12-04 using wiktextract (d8cb2f3 and 4e554ae). 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.

If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.