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Apr 3, 2017 at 4:31 comment added Mohammad Golshani @IoannisSouldatos Though such an example does not the job for me, but I'm interested to see it.
Mar 22, 2017 at 15:09 comment added Ioannis Souldatos I was looking for such examples too, but the only one I found is the one you mentioned. It is proved in Chang and Keisler. Will an $L_{\omega_1,\omega}$-sentence with models of type $(\aleph_1,\aleph_0)$, but no models of type $(\aleph_2,\aleph_1)$ work for your purposes?
Jan 3, 2017 at 7:00 history asked Mohammad Golshani CC BY-SA 3.0