Tobias summarizes a topic very well. :)
If anyone interested in the SFWA DMCA abuse story has not read Tobias Buckell's summary, with quotes from many people including a Coda from the SFWA president, I recommend you do.
(Long story short: SFWA used a DMCA-based request to pull copywrited material from document sharing site Scribd; their list was flawed, and the site pulled material from authors SFWA was not authorized to represent -- material the authors actually wanted to have up there. Many authors railed about the abuse of authority and posted more public material just to demo that it's all right (a win for the public, IMHO). SFWA promises it will not happen again.)
ETA: Steven Silver points to what he says is an even better write-up on Scalzi's blog
(Long story short: SFWA used a DMCA-based request to pull copywrited material from document sharing site Scribd; their list was flawed, and the site pulled material from authors SFWA was not authorized to represent -- material the authors actually wanted to have up there. Many authors railed about the abuse of authority and posted more public material just to demo that it's all right (a win for the public, IMHO). SFWA promises it will not happen again.)
ETA: Steven Silver points to what he says is an even better write-up on Scalzi's blog

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Forgive the bluntness, but whoever explained it to you was either deeply ignorant or deliberately lying. Even if you're risk-averse about fair use, mentioning a title cannot -- ever -- be a violation of copyright. The other examples you give are also nuts, but not quite as moronic as the title claim. Wow.
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As for blunt, I appreciate it. "I am but an egg."
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* "it is a violation of copyright to mention a thing's title unless you are reviewing it" -- wrong, because the title of a work is not actually protected by copyright. (It could be protected by trademark, but unless it's something like _Mickey Mouse goes to Daffy Duck's House_, that is extremely unusual, and even then it would not be a trademark violation to mention its name either.) Holding this belief is not consistent with being capable of giving advice on intellectual property law.
* "quote it in your sig line" -- wrong, because (1) the use is _de minimis_, meaning too trivial for the law to recognize as an infringement, and (2) the damages the copyright holder could claim would be too small for them to get into federal court anyway, even if they could find a lawyer desperate enough to take the case. Holding this belief doesn't make someone an idiot, but it does suggest that one's paranoia has overcome one's common sense.
* "have its cover in the background when you are posing for a photograph that you are showing publicly" -- It is *just vaguely possible* that a really aggressive rights-holder could decide to test the limits of this if the cover image is shown clearly and you are using the photo in a high-profile commercial context. People have been sued over showing copyrighted images in the background of TV shows before, for example. This belief isn't exactly irrational, but it shouldn't be stated so broadly that people think that they can't pose in front of bookshelves or something.
There's a good page with a number of references here:
http://fairuse.stanford.edu/Copyright_and_Fair_Use_Overview/chapter9/9-b.html