User blog comment:Emlightened/Sasquatch (Big Bigeddon)/@comment-1605058-20170327204644/@comment-1605058-20170327210605

What I meant is that if \(c\) was some constant in the language to which we attribute no intended interpretation, then \(c\text{ is an ordinal}\) wouldn't have any specific meaning, since it could just as well be \(0\) and \(\mathbb R\) in the model (I have in mind constant symbols in the FOL languages). I might be confusing things since I am tired now. But now that I see \(a\) is an arbitrary set, not a symbol, I don't object anymore.