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It doesn't matter whether a tax is progressive or regressive on its own. What matters is its place in the overall system of taxes and transfers. You can have a progressive wealth redistribution system based mostly on regressive taxes (sales tax, carbon tax, vice taxes) by ensuring that transfer payments and tax breaks are heavily directed towards low income residents. "Regressive" is not an end-all reason to reject a taxation scheme that has many other desirable properties, namely internalizing externalities and directing market forces towards less pollution-intensive technologies.

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