Original post by JazzyboyGetting exactly what job you want is not a civil right. You don't need to go into the field you're most interested in, in order to survive.
Regardless, the only two fields out of the ones you listed that actually require a degree are physicians and neurology, because hospitals kinda have to require you to be highly qualified before they let you be responsible for people's lives.
It would be incredibly difficult to become a well-paid scientist in most fields without a degree, but it's still possible. You just need to work really hard, maybe volunteer at labs, and regularly write papers to boost your reputation. University would help greatly, but it's not entirely necessary, and the only reason that uni makes it so much easier to get into scientific fields is that so many scientists take the uni route because student loans exist, so employers expect you to have a degree. If the government stopped offering student loans tomorrow; then in half a decade, there would be numerous respected scientists without degrees.
There are certainly engineering apprenticeships out there, and you can start off by doing unrelated work experience and volunteering to build your CV, while building a strong portfolio to appeal to engineering employers. You don't need to go to university to gain any of the skills needed for an engineering job. You can read books, use the Internet, and build makeshift devices at home. The only thing university gives you that you can't get otherwise is something to put on your CV.
Obviously, entrepeneurs don't need degrees. They're self-employed; they're not going to refuse to hire themselves because they lack degrees; and they can most certainly teach themselves the skills to build whatever product or service they're founding their business upon.
If by administrator, you mean a systems administrator; then a systems administrator most certainly does not need a degree. It's well known that you can teach yourself all of the skills needed to become an IT professional, and you can generally work yourself up to any field within the IT industry from any other position. You could even work your way up from tech support to becoming a systems administrator, and tech support's fairly easy to get into.
If you mean a personnel administrator/manager; then I'm sure you know that plenty of people work themselves up from cleaning and retail jobs to become managers. It takes a long time, but it's entirely possible.
A few of my teachers in school and college were unqualified, so there are obviously jobs going in at least a few places that can be attained without a formal degree. Really, there shouldn't be, but there is. And the best teachers are past professionals, so if you do well in another field and eventually earn enough money to go to uni, you can then become a great teacher with actual experience in the field you're teaching kids about.
Most politicians have degrees because most politicians come from rich families who encourage them to go to university to get degrees. The real reason they become politicians isn't that they have degrees though. They succeed as politicians because their families have a lot of connections to influential people, and boost their political careers. Unfortunately, at that point, whether you go to university or not is irrelevant. You just need to come from a wealthy, influential family, and no amount of degrees will help you with that. On the other hand, if you work your way up and become a wealthy, influential person, then you would stand a chance.