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It is not designed to keep the poor poor.
It is designed to protect the rich and keep the rich rich.
The rich know that limiting the amount of people in the rich club helps the rich stay rich.
To the rich the poor are toilet paper use them and flush them down the drain when you are done with them.
From my point of view seems we are still saying same thing here, because what is meant to keep the rich rich is equally meant to keep the poor poor. I might also view it from a different perspective maybe that's where you are looking at as the chance of the poor getting rich still exist but the protection that taxes provide for the rich is to keep them rich and never to go down the ladders of wealth!
I also agree that the rich club has to be small for the power to be in there hands because if everyone is given the opportunity to be rich no one will be able to control or rule over the other hence a device like dividing our income to pay them is the major way to escape the poor.