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"Unlimited" but with huge restrictions, like cell phone data. Except worse, because now it depends on how much your boss likes you.

Ok so sounds like your anger is directed at the wording itself. Think of it as “discretionary PTO” then.

That doesn't make sense. If you are fired one time, you can't be fired the other nine times unless you were rehired[1]. What you are saying is a contradiction.

1: and it is not likely you'll be rehired if you haven't done any work

It's also true that he can't possibly take the entire year off as PTO, because he'd be fired before it's allowed to happen. So taking a full year PTO is already a contradiction.

Then in classicial logic, a contradiction can imply anything: https://en.m.wikipedia.org/wiki/Principle_of_explosion Therefore he can be fired 0,1,2,10,100,1000 times, with all those possibilities being true simultaneously.

Highly entertaining! Hahaha