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Not only are they incompatible, they cause tons of antagonistic contradictions between the two of them that both try to annihilate the other. Capitalism bastardizing democracy into a mere ritual of the people for people to think they can regulate capital; but truly the ruling class using it as a means to see which faction of their class wins out for a time being and to dupe the masses of real change. Democracy In-Itself will recognize the futility of keeping an acidifying agent even when hampering the majority of its influences that it will supersede Capitalism for a new social order and gradually, through many hardships, exercise the toxicity of the old social order for as long as they continue to have existence in the new social order.

I beleive that democracy and capitalism are tools or philosophies that can easily benefit each other.

Real unsubsidized capitalism is democracy in action. What the people want succeeds. The people vote with their time and money.

Things get wankie when capitalism is subsidized and democracy is really a republic or oligarchy

And in the end these are just labels of how to relate to things.