The only thing that is problematic is that your friends will be confused ("who is this Name Shaped person of gender Other with no pictures?").
At some point, it does make sense not to use social networking or be online at all. But this is not unique to Google+; if you've paid Wordpress for an account, I'm sure they'll cough up your name if I send them a DMCA notice or something.
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I'm pretty sure you don't have to use your real name anymore, you only have to use something "name-shaped".
https://plus.google.com/103389452828130864950/posts/YJbzDptW...
You also need not select a gender.
The only thing that is problematic is that your friends will be confused ("who is this Name Shaped person of gender Other with no pictures?").
At some point, it does make sense not to use social networking or be online at all. But this is not unique to Google+; if you've paid Wordpress for an account, I'm sure they'll cough up your name if I send them a DMCA notice or something.