Do the three phrases convey the same meaning when we're referring to the place where one lives?
2 Answers
As long as the context is clear, then yes. But context is very important.
Examples where they would not have the same meaning:
Names of bars, clubs, etc. "We're heading down to O'Connelly's tonight; care to join?" or "They met at Meg's."
Or basically any other kind of proper noun.
Again, if the context makes it clear that we're talking about residences, you're golden.
The three all convey the same message, but I've always felt strange referring to someone's "house" if it is not in fact a house, but rather an apartment or condominium.
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I don't see a problem with it. I live in an apartment, yet I say things like, "When we get back to the house..." just as often as "home". There are plenty of meanings to the word other than "single family home".– Gob TiesCommented Jan 14, 2014 at 1:25