"Ramsey theory" meaning in English

{
  "etymology_text": "Named after British mathematician and philosopher Frank P. Ramsey.",
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  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
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        {
          "ref": "1987, R. L. Graham, V. Rôdl, “Numbers in Ramsey Theory”, in C. Whitehead, editor, Surveys in Combinatorics 1987: Invited Papers for the Eleventh British Combinatorial Conference, Cambridge University Press, page 111",
          "text": "Ramsey theory can be loosely described as the study of structure which is preserved under finite decomposition.",
          "type": "quotation"
        },
        {
          "text": "1999, Randall McCutcheon, Elemental Methods in Ergodic Ramsey Theory, Springer, Lecture Notes in Mathematics: 1722, page 8,\nWe are now ready to offer a loose definition of Ramsey theory.\nRamsey theory is a collection of results which, given a finite coloring of some structure, guarantee the existence of certain monochromatic configurations or substructures."
        },
        {
          "ref": "2015, Ron Graham, Steve Butler, Rudiments of Ramsey Theory, 2nd edition, American Mathematical Society, page vii",
          "text": "In the 35 years since the lectures which form this book were given the area of Ramsey theory has continued to undergo tremendous growth, particularly in the last decade.",
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        }
      ],
      "glosses": [
        "A branch of mathematics which deals with patterns that inevitably arise in sufficiently large sets (i.e., subsets of some structure)."
      ],
      "id": "en-Ramsey_theory-en-noun-FtY-T3fS",
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        "(mathematics) A branch of mathematics which deals with patterns that inevitably arise in sufficiently large sets (i.e., subsets of some structure)."
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        "Frank P. Ramsey",
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  "word": "Ramsey theory"
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  "etymology_text": "Named after British mathematician and philosopher Frank P. Ramsey.",
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  "pos": "noun",
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        {
          "ref": "1987, R. L. Graham, V. Rôdl, “Numbers in Ramsey Theory”, in C. Whitehead, editor, Surveys in Combinatorics 1987: Invited Papers for the Eleventh British Combinatorial Conference, Cambridge University Press, page 111",
          "text": "Ramsey theory can be loosely described as the study of structure which is preserved under finite decomposition.",
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        },
        {
          "text": "1999, Randall McCutcheon, Elemental Methods in Ergodic Ramsey Theory, Springer, Lecture Notes in Mathematics: 1722, page 8,\nWe are now ready to offer a loose definition of Ramsey theory.\nRamsey theory is a collection of results which, given a finite coloring of some structure, guarantee the existence of certain monochromatic configurations or substructures."
        },
        {
          "ref": "2015, Ron Graham, Steve Butler, Rudiments of Ramsey Theory, 2nd edition, American Mathematical Society, page vii",
          "text": "In the 35 years since the lectures which form this book were given the area of Ramsey theory has continued to undergo tremendous growth, particularly in the last decade.",
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        "A branch of mathematics which deals with patterns that inevitably arise in sufficiently large sets (i.e., subsets of some structure)."
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        "(mathematics) A branch of mathematics which deals with patterns that inevitably arise in sufficiently large sets (i.e., subsets of some structure)."
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