The key part here is how you say that the earth appears flat. That is, since the earth is so big, the curvature is so small that it does not really affect us in everyday life: however that is not to say that it doesn't exist.
This is similar to the balloon analogy, however the balloon analogy is less precise, since we don't know for sure whether the universe is precisely flat or not... and this makes a big difference. Sure, measurements tell us that the universe is very close to flat (so if it were closed, then the "sphere" would have to be very large) but we don't know whether the universe is precisely flat and infinite, or ever so slightly curved and finite. Hopefully we will.. in a few years time!
Everything is fine with me, thanks Pat: I hope you're doing well yourself.I hope things are going well for you.


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