1999/06/03 by Saharon Shelah, Shelah, Saharon · 1 citation
Computer Science · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge #Logic, programming, and type systems #math.LO
paper · pdf · doi:10.48550/arxiv.math/9906023
published as in: {In the Scope of Logic, Methodology and Philosophy of Science . Volume One of the 11th International Congress of Logic, Methodology and Philosophy of Science, Cracow, August 1999} (2002) 29--53 · Preliminary Report
arxiv created 1999/06/03 · openalex publication_date 1999/06/03 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We pay two debts from [Sh:576] (math.LO/9805146). The main demands little knowledge from [Sh:576], just quoting a model theoretic consequence of the weak diamond. We assume that K has amalgamation in lambda, and that the minimal types are not dense to get many non-isomorphic models in lambda+. For this also pcf considerations are relevant. The minor debt was the use in one point of [Sh:576] of lambda not= aleph0, it is minor as for this case by [Sh:88] we ``usually'' know more.