When checking new tags, I've noticed finiteness tag there. At the moment there is only one question in that tag. The tag creator seems to be Michael Hardy - unless it was created in another question, which has been retagged in the meantime.
Both tag-wiki and tag-excerpt are empty, so it is not clear what kind of questions this tag is intended for. If everything about finite sets and finite structures were lumped under the same tag, it would not be a very useful tag (at least in my opinion). For example, we have many questions about various definition of finiteness (which are not equivalent in ZF). But I do not know whether this is what the tag creator intended this tag for.
I think it would be good to create tag-wiki or at least tag-excerpt soon. They can guide the users when tagging. If we do it soon enough, we can avoid having plenty of off-topic questions in that tag. (But we need to clarify first what is on-topic there.)