Stemming fears of the always-online requirement still rumored strongly for the next Xbox, a Sony PR rep confirmed to Kotaku that: "PS4 games will be playable without an Internet connection."
I'm still hearing from at least one very good source who hasn't failed me yet that the next Xbox, codenamed Durango, will require an online connection, though that source isn't sure whether the console would tolerate spotty, dropped connections.
In an interview with Eurogamer at yesterday's big PS4 unveiling in New York, Sony's head of worldwide game studios, Shuhei Yoshida said, of PS4 gaming, "Oh yes, yes, you can go offline totally. Social is big for us, but we understand there are some people who are anti-social! So if you don't want to connect to anyone else, you can do that."