If they had this vaccine when I was a teenager or even 11, I would have gotten it, and I'm sure my parents would have approved since they remember how scary polio epidemics were. Even if someone doesn't intend to have sex, child molestation and rape do occur, and HPV is one of the diseases that can be transmitted through rape.
When I divorced my ex-husband, I got tested for HPV and every other STD out there, and I was lucky that all tests have been negative. The reason for that is that he had an STD, but lied about how he got it, as he cheated on a previous partner, but first said that she gave him the STD. Because of that, I got tested in case he had been cheating on me as well.
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"I do not feel obliged to believe that the same God who has endowed us with sense, reason,
and intellect has intended us to forgo their use."
- Galileo Galilei