This is a follow-up to some comments at this question
If the new cs-theory-lite site is created (it is still in pre-beta), a tricky issue is which questions here might be migrated there. I want to ask the moderators to show restraint, especially at first, in migrating questions.
One area where this is particularly relevant is recursion theory, my research area. This area has clear applications to computer science, but certain topics are studied much more deeply as part of "mathematical logic", and really should be asked here. It would be truly unfortunate if questions in this area were moved from this site, where they are completely on-topic, to the new cs-theory-lite site, only because they happen to have the word "computable" in them. It's worth pointing out that many undergraduate CS curricula today have completely eliminated recursion theory, or have reduced it to part of a single semester class that also covers subrecursive hierarchies.
On the other hand, there are other topics such as "computational complexity theory" which may appear very related to someone outside the area (such as a moderator who is not an expert in the field). These could probably be safely migrated to cs-theory-lite. But distinguishing these from the ones that belong here is very delicate. When I look at the "computability" tag, I see some questions that belong here, some that should be migrated, and some that are unclear.
I do not want to wade into a political discussion about which areas are "really" computer science and which are "really" recursion theory; it just churns water. A less dramatic way to handle things, at least at first, might be for the moderators to assume that if something was on-topic last week, it will still be on-topic once the new site is created. If a question gets flagged for moving, by all means they could still move it.