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.
Explain why after spending 10 years in school my tax burden should increase by 30k (making it an effective 60% rate not counting 10% sales tax in CA) to give to able bodied people who choose not to get off their ass. I guarantee you society is better off letting me keep what I earned rather than giving it to a completely untested individual. I didn't work my ass off for you.