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S Nov 6, 2013 at 11:15 history suggested user42090 CC BY-SA 3.0
"first" to "second". Typing math symbols in math-type. Dash for phrases with "non". "Realises" to "Realizes".
Nov 6, 2013 at 10:35 review Suggested edits
S Nov 6, 2013 at 11:15
Oct 14, 2013 at 15:46 comment added Andrés E. Caicedo Mohammad, it is even simpler than that: Consider sets as structures in an empty language. Isomorphism is just bijection. Two sets can be in bijection in an outer model without being in bijection in the ground model. Or further: If $M$ is a countable transitive model of (enough) set theory, then $\omega_1^M$ is a countable ordinal yet $M$ thinks it is uncountable.
Oct 14, 2013 at 11:41 vote accept user38200
Oct 14, 2013 at 11:31 comment added user38200 Thanks. Does the same result holds for elementary equivalence rather than isomorphism?
Oct 14, 2013 at 11:19 history answered Mohammad Golshani CC BY-SA 3.0