[chaps]

What does size of the universe have to do with this? ;)

The question is about the relationship between the age of the universe (well, after the big bang) and stars that came into existence afterwards. We have a pretty good idea how old the universe is, and with the universe expanding, light from the early days of the universe still makes it to earth from billions of light-years away.

[svachalek]

You could postulate that we arised from A Big Bang rather than The Big Bang, and somewhere outside the visible universe some alien species watched it happen. At least as I understand things, nothing we know about the visible universe puts any constraints, age or otherwise, on the rest of it.

But for similar reasons, unless some fundamental understanding of time and space changes, nothing outside the visible universe really matters.