Titlebook: Ordered Sets; Proceedings of the N Ivan Rival Conference proceedings 1982 D. Reidel Publishing Company, Dordrecht, Holland 1982 Lattice.com

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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 [1977].

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Order Types of Real Numbers and Other Uncountable Orderingsers has the property that ω., .. This was used by Sierpiński [13] to disprove the natural generalization of Ramsey’s Theorem. Work of Dushnik and Miller [5], and of Sierpiński [14], shows also that nothing like Laver’s theorem can hold. Sierpiński, for example, constructs for each ? ≤ λ of cardinali

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