For example, do you think it is acceptable to deny access to overtly sexual, violent, or otherwise disturbing content to children? What if their parents feel that they're "mature enough" to view it?
Yes, but I guess I'd be willing to allow it if the parents consent. I wouldn't be particularly happy
about it, and I might condone watching said family further for any signs of abuse, but...
I also think communities and nations should be allowed to—and probably should—ban overtly violent or sexual advertising from the public sphere. That doesn't mean that they're allowed to publish such things at all
, assuming they don't violate other laws in the process (so, no releasing that tape of you murdering or raping someone for real, for example), but not right out in Times Square, let's say. I think it's fairly reasonable to say that people have the right to keep such shit out of their lives, and putting it out in the middle of a public square precludes them from that right.
If you knew, for a fact, that by allowing someone to view a particular work of art, they would snap and commit an act of violence, would that make it OK to deny that particular work to the general public?
...this is probably too context-sensitive to give a blanket opinion on.