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Oh, yeah, and.... that's worked, hasn't it?
Oh, wait, no it hasn't. The abstinence without birth control form of "education" is the worst form of education.
Yes, people's bad choice becomes your problem. So, the CHEAPEST way of dealing with it is to have a targeted campaign of birth control. There's no way to solve this by saying "I don't want to pay for stuff", you pay or you pay more.
So the answer is to reward people and enable their behaviour? it has already been pointed out, a planned parenthood you can get rubbers for free. Be my guest
Firstly, the behavior happens. Where I grew up, in a small place with a few hundred people, a 13 year old got pregnant. Why do you think that was?
I worked with a guy who left his job to do a PhD in Biology, he had an STD, why do you think that was?
I went on a combi in Lesotho and when the combi got to the last stop in some rural-ish place, everyone who got off but me went to the HIV/AIDS hospital. A poster in the capital had the HIV/AIDS rate of every region in the country. The lowest was 19%. They estimate that women of child bearing age in the capital had a 50%+ rate.
You can talk about not having sex, but it happens regardless of what you will say. It happens to intellectual people and stupid people, it happens to most people.
And for those people who tell others not to do it, well, they can scream and shout all they like, but it won't solve the problem. We know how to solve the problem, and we know how to avoid the problem. I have ask, why do you choose the latter?