This is a quite interesting debate and I hope more people will join us.

This is my original article: https://steemit.com/science/@ropaga/human-papilomavirus-and-vaccines

Below is a copy of my reply to @mel.jai about the facts about HPV he mentioned:

Yes, I know that most of the HPV infections does not cause any symptom. But a minor risk of cancer should be avoided too if possible.

There are not enough long-term studies available to find the time limit of the immunity. According to CDC, immunity last for at least 8 or 9 years. According to theoric models, immunity will last 12 years and 32 years for 50% of vaccinees.
http://www.sciencedirect.com/science/article/pii/S0264410X07002320

Polysorbate 80 is commonly used in foods (for example ice creams) No adverse effects of consuming this substance, except for extremely high doses, has been found. A 2008 study in pregnant rats, with a dose equivalent to 1300g/day for a human of 70kg, only found a significant but no dangerous decrease in weight in the mother.
http://www.sciencedirect.com/science/article/pii/S0890623807002432

Aluminum is proved to increase the immunity response to most virus, so it helps at making the vaccines more effective. It has been used in vaccines for more than 60 years, and the dose received is much lower than received from the diet.
http://www.sciencedirect.com/science/article/pii/S0264410X02001664

I do not care about what any scientist or group of scientist says. Show me the studies about that concerns and then I will be able to give my opinion about that.

Yes, I know that Gardasil only protects against two types of HPV, those that are the main cause of cancer. However there are other vaccines available with protects against more types of HPV. I have told that in my article, seems like you already had an opinion and do not care about my arguments.

So in conclusion yes, I am convinced that it has very low risk of side effects. Show the studies you mention to me and after reading them my opinion may change.