What's the chance though, that the rich person in this scenario got rich way by doing what the poor person did but better/faster? Pretty low I think.
Likely they applied for a patent on some obvious technology, or invested in a company that did, like Amazon, and are essentially being given that poor person's tax money to support these government monopoly grant.
Ditto anyone rich from resource extraction. Our laws give the resources to the people who currently own the land, despite that our countries really hold all land in trust for future generations (see the right of eminent domain). You can be rich off public resources simply because you siphoned them off via a tiny chunk of land you hold while turning a blind eye to any environmental problems you were causing.
When the rich actually, in general, contribute a tenth as much or work a tenth as hard (mentally or physically) as the poor, dollar for dollar, what you said may be valid. And there are some who do, but in general, riches come from exploitation, and until this is corrected it's got to be handled at another level (like income taxes, etc).
