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Aug 30, 2014 at 12:28 comment added Carlos @Philip Welch Thanks again! I had seen your first edition and was checking the details. I have found the proof of the equivalence in J. H. Schmerl, On $\kappa$-like structures which embed stationary and closed unbounded sets, Ann. Math. Logic 11 (1976) 289-314 (Theorem 6.1). Now all is clear to me.
Aug 30, 2014 at 10:03 history edited Philip Welch CC BY-SA 3.0
Refs added.
Aug 30, 2014 at 10:03 comment added Philip Welch @Carlos Edited to add refs. for your query.
Aug 29, 2014 at 20:56 history edited Philip Welch CC BY-SA 3.0
Adding some remarks on good indiscernibles as suggested by Victoria Gitman
Aug 29, 2014 at 20:50 history edited Philip Welch CC BY-SA 3.0
Adding some remarks on good indiscernibles as suggested by Victoria Gitman
Aug 29, 2014 at 20:32 vote accept Carlos
Aug 29, 2014 at 20:32 comment added Carlos @Philip Welch Thank you for your answer! I did not know the concept of good indiscernible but I have found in the web one of your articles (Greatly Erdös Cardinals...) with the definition. So I understand your answer, but my problem now is that in your paper you define Erdös cardinals as those for which there are good indiscernibles in each structure. So I would need a proof that Erdös cardinals so defined are the same than those defined by the usual partition relation. Could you give me a reference? Thanks again.
Aug 29, 2014 at 18:03 comment added Asaf Karagila @Victoria: I remember that one morning I was going to remind myself to do something later; I still can't remember what was that thing and whether I did it or not. :-)
Aug 29, 2014 at 17:56 comment added Victoria Gitman I wrote the CA entry and wondered for a few minutes this morning whether I made a mistake :). But then I remembered about good indiscernibles and was going to write it up later.
Aug 29, 2014 at 17:54 comment added Victoria Gitman Philip, could you add the definition of good indiscernibles? I think not everyone is familiar with them.
Aug 29, 2014 at 16:32 history answered Philip Welch CC BY-SA 3.0