悬挂 发表于 2025-3-28 15:36:43
Infinite Ordered Sets, A Recursive Perspective notion expressible by an elementary sentence, but “finite width” cannot be expressed even by a set of such sentences. The requisite background in recursion theory and in the logic of elementary sentences can be found in Barwise .截断 发表于 2025-3-28 21:12:03
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Order Types of Real Numbers and Other Uncountable Orderingsers has the property that ω., .. This was used by Sierpiński to disprove the natural generalization of Ramsey’s Theorem. Work of Dushnik and Miller , and of Sierpiński , shows also that nothing like Laver’s theorem can hold. Sierpiński, for example, constructs for each ϕ ≤ λ of cardinali漂浮 发表于 2025-3-30 03:34:19
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