Why is libertarianism so infallible?

It is due to it being the application of political science. It does not permit failed policies to be continued fruitlessly year after year with idealistic fervour, it is next to impossible for anyone surrounded by fierce libertarian critics to continue clinging on to lies. It is a purely functional machine, lubricated with justice and fueled by free speech.

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I can prove it.

Tyranny eliminates economic and political freedom. Goods are expensive, wages are low.
Socialism eliminates economic freedom and permits political freedom. Goods are expensive, wages are high.
Capitalism permits economic freedom and eliminates political freedom. Goods are inexpensive, wages are low.
Libertarianism permits economic freedom and political freedom. Goods are inexpensive, wages are high.