> If UBI means that I get a check for $500 but at the same time my taxes go up by $500, I would have a hard time thinking that my income went up by $500.
If you get a check for $500 and your taxes go up by $500, that means your total compensation (all sources of taxable income including capital gains) is exactly at the national mean, which is to say that your income is way higher than the median income. As a mean income earner, you earn more than 80% of all Americans.
Are you in the top 20% of income earners? If not, then you come out ahead.
> Think of a world with two people. One rich one poor. Both get checks for $500, but the rich persons taxes go up by $1000 to pay for the program. The net effect is different for the two people.
That is true and it is by design. That's the way functioning progressive tax systems have always worked.
> You still have an effect where people get "punished" with higher taxes as their income goes up.
Yes, that's the point of a progressive tax system.