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Feb 23, 2014 at 13:43 vote accept William
Feb 19, 2014 at 2:34 comment added Rachid Atmai Very nice answers (both of you Victoria and Joel). The issue of amenability is indeed important. For potential premice having extenders, we want the extenders to be amenably coded in the structure. It allows us to check Los Theorem for $\Sigma_0$ formulas and he satisfaction predicate for $\Sigma_1$ formulas is $\Sigma_1$.
Feb 18, 2014 at 21:35 comment added Joel David Hamkins No problem! It is great to have fuller information, and I'm glad that you posted...
Feb 18, 2014 at 21:33 comment added Victoria Gitman Sorry for the redundancies, Joel! I didn't see that you posted more details before I posted my reply.
Feb 18, 2014 at 21:19 history edited Joel David Hamkins CC BY-SA 3.0
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Feb 18, 2014 at 21:11 history edited Joel David Hamkins CC BY-SA 3.0
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Feb 18, 2014 at 21:06 history edited Joel David Hamkins CC BY-SA 3.0
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Feb 18, 2014 at 20:54 history answered Joel David Hamkins CC BY-SA 3.0