It's called "paying it forward". Assuming, of course, that some form of BI would be in place, you would have spent those 10 years in school supported by a BI. So paying those taxes, you're making sure that people just like you can afford to spend 10 years in school and become great and awesome too.

PS: I hardly ever meet any of those "able bodied people who choose not to get off their ass" - they mostly show up in discussions like these - and I suspect they're a tiny minority. Let's not adjust policies to punish that tiny minority if, in the process, everybody else gets punished too.