You are apparently not aware of this but money (almost) does grow on trees. Ever wondered where the money that is around came from? It was printed by a central bank. And it still is. Just google Mario Draghi and what he's doing with the Euro lately.
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No, it doesn't. Money is not by itself a resource. Instead it is a means of measuring value. If you create money without also creating value, all you do is dilute the supply of money. This works out great if you are the one making the money since you end up with a bigger share of the pie, but for everybody else it means their fixed amount has just become less valuable. Inflation is in a very real sense a wealth transfer from the poor (who don't own much, and have much of their capital in cash) to the rich (who have the ability to buy actual resources, rather than just money).
Throughout history, experiments have been run by very smart people with creating money from thin air. In France, rampant inflation led to the French revolution. In Germany, it led to WW2. In Zimbabwe, it has turned a fertile agricultural country into a desert that must import food. And in Venezuela, it has led an oil-rich country to not even be able to provide toilet paper to its citizens.
Having people work less - but voluntarily - is one of the benefits of UBI. Many people suffer involuntary unemployment due to automation. So we end up with a part of the workforce without ANY job and the other part with full jobs. It would be smarter to distribute jobs more evenly. But the present system drives everybody to try and get a fully paid job, as a matter of risk management: it could be anytime you lose that job and without a (substantial) financial buffer you'd be in deep trouble. UBI takes away that fear of existential threat - it gives you peace of mind and makes you less clingy to the job you have. It significantly improves your negotiating position towards (potential) employers.
It's a lovely sentiment. Like Star Trek, with everybody contributing, for free, to the best of their ability. Or like communism, with everybody taking and nobody giving. Hint: one of those is fiction.
One might also wonder if money were created for free, whether cost (of everything) would remain the same, or rise to meet the levels of available money. In other words, the program might be undone by rampant inflation.
Yes, there will be inflation. FYI the European Central Bank is desperately trying to increase inflation (my above comment regarding Mario Draghi)
I know. Do you know why he wants that? It's because he hopes to get rid of rampant government debt by obliterating the value of the currency. It's not because inflation is such a positive force, as you seem to believe. Oh, and there is this whole "wealth transfer to the rich" part as well, of course.