Currently Being ModeratedSep 14, 2012 9:29 PM (in response to hendeale)
Pages does not require an internet connection to save file locally on your computer, nor does Text Edit (supplied with OS X on your Mac), nor do most of the word processing or text editing applications I can think of, the exception being Google Docs, which exists only in the cloud, and requires a live connection for composing as well as saving.
Bringing it home to THIS forum, whose topic is the now discontinued Apple productivity application AppleWorks, that venerable application has a word processing module which, like the other modules in AW, doesn't require internet connections to run or save. Unfortunately, it also won't run on any Mac OS version beyond Snow Leopard.
Now, if you're talking about an application that runs on an iPod, iPad, or other iOS device, you've really taken a wrong turn! Your question will attract more knowledgeable replies in a forum that understands iOS—which ain't this one!
A good place to start would be the iWork for iOS community. The link will take you there.
Currently Being ModeratedOct 17, 2013 6:36 AM (in response to hendeale)
I really like tote 'm notes and you can get it in your App Store. It's free... Kinda easy to use. Not to mention you may use it to take notes offline. Also, you can still back them up whenever you have wifi or internet. Hope this helps.
Currently Being ModeratedOct 27, 2013 1:42 AM (in response to hendeale)
There's always Stickies, too, if you're just doing short notes.
I love it, and it should be right there in your Applications folder (assuming you're using a Mac and not an iPad).
One thing I love about Stickies is that you can make "floating notes" that stay above currently running applications.