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This leads to the erroneous assumption that making the rich less rich will make the poor less poor. That's obviously not the case.Taking more money from the poor makes them more poor.
Taking more from the rich 'harms' them less because of the margin utility of money: taking $1k from someone making $160k is qualitatively different from someone making $60k. Taking 20% from someone making $160k ($32k) is qualitatively different than taking 20% from someone making $60k ($12k).
So if you want to have X revenues for funding government, you can take it from those who have more marginal need of it, or those who have less.