On what I do not understand (and have something to say), model theory

by Shelah. [Sh:702]
Math Japonica, 2000
This is a non-standard paper, containing some problems, mainly in model theory, which I have, in various degrees, been interested in. Sometimes with a discussion on what I have to say; sometimes, of what makes them interesting to me, sometimes the problems are presented with a discussion of how I have tried to solve them, and sometimes with failed tries, anecdote and opinion. So the discussion is quite personal, in other words, egocentric and somewhat accidental. As we discuss many problems, history and side references are erratic, usually kept at a minimum (``See...'' means: see the references there and possibly the paper itself). The base were lectures in Rutgers Fall '97 and reflect my knowledge then. The other half, concentrating on set theory, is in print [Sh:666], but the two halves are independent. We thank A. Blass, G. Cherlin and R. Grossberg for some corrections.

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