No skills needed, just buy an exosuit before the apoca...wait....aw shit, this is reality

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On a more serious note, skills for the end days? Well that depends, what kind of end?
I mean, if nuclear bombs are going to kill us, then you better start digging a bunker and stocking on food and water cause no skill will save you from a giant explosion.
If the economy collapses and riots start breaking out all over, then learn how to handle basic weaponry such as guns, knives, throwing stuff etc. You also should learn how to AVOID conflict as much as possible because people are gonna be on edge and they wont take any bullshit from some stranger.
Having any sort medicinal or "survival" knowledge will go a long way to keeping you (and maybe others, for the good karma) alive, especially if you prepared.
Anyway, I believe its better to try our best to PREVENT the apocalypse. Chances are most of us wont survive it so why not just make an effort and stop it?
I recommend the zeitgeist movies, they have an extremely real view on how the economy has been killing us for years and how it will be our doom. Of course, they also tell us how to prevent it and how to make a Utopia (and not in the brainwash-religious sort of way, like seriously, THEY HAVE A POINT).