"epsilon number" meaning in English

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  "etymology_text": "From the Greek letter ε (“epsilon”), used to denote the numbers.",
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  "lang_code": "en",
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        {
          "ref": "1977, Herbert B. Enderton, Elements of Set Theory, Elsevier (Academic Press), page 240",
          "text": "More generally, the epsilon numbers are the ordinals #x5C;varepsilon for which #x5C;varepsilon#x3D;#x5C;omega#x5C;varepsilon. The smallest epsilon number is #x5C;varepsilon#x5F;0. It is a countable ordinal, being the countable union of countable sets. By the Veblen fixed-point theorem, the class of epsilon numbers is unbounded.",
          "type": "quotation"
        },
        {
          "ref": "1981, The Journal of Symbolic Logic, Association for Symbolic Logic, page 17",
          "text": "We show that the associated ordinals are the #x5C;varepsilon#x5F;0th epsilon number and the first #x5C;varepsilon#x5F;0-critical number, respectively.",
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        },
        {
          "text": "2014, Charles C. Pinter, A Book of Set Theory, 2014, Dover, [Revision of 1971 Addison-Wesley edition], page 203,\nThus there is at least one epsilon number, namely ε₀; we can easily show, in fact, that ε₀ is the least epsilon number."
        }
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        "Any (necessarily transfinite) ordinal number α such that ω^α = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ωˣ."
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          "set theory",
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          "transfinite",
          "transfinite"
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          "ordinal number",
          "ordinal number"
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        [
          "ω",
          "ω"
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          "surreal number",
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        "(set theory) Any (necessarily transfinite) ordinal number α such that ω^α = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ωˣ."
      ],
      "related": [
        {
          "word": "delta number"
        },
        {
          "word": "gamma number"
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        {
          "word": "epsilon-induction"
        }
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        "mathematics",
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        "set-theory"
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        {
          "code": "it",
          "lang": "Italian",
          "sense": "type of transfinite or surreal number",
          "tags": [
            "masculine"
          ],
          "word": "numero epsilon"
        }
      ],
      "wikipedia": [
        "Epsilon numbers (mathematics)"
      ]
    }
  ],
  "word": "epsilon number"
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          "ref": "1977, Herbert B. Enderton, Elements of Set Theory, Elsevier (Academic Press), page 240",
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        }
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        "(set theory) Any (necessarily transfinite) ordinal number α such that ω^α = α; (by generalisation) any surreal number that is a fixed point of the exponential map x → ωˣ."
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  "word": "epsilon number"
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