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However much solar or wind energy we use, the Sun will last exactly as long. This is not a matter of scale. Even if we were to build a photovoltaic Dyson sphere around the Sun, it would have the same lifespan.

That is not the case for geothermal. It could in theory be cooled down if exploited at a massive scale.

Saying geothermal is not renewable is not an indictment nor a criticism. Geothermal is great and we should use it more. It's just technically not renewable, but that doesn't matter.

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And a new star will eventually form from the debris, so "renewable" is a function of time scale.
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And after a hundred generations of this there will be no fusible material left. We can extract energy from rotating black holes until they stop, and then the universe is dead.
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So solar energy is renewable over a human lifetime, not renewable over a stellar lifetime, renewable over a stellar formation cycle, not renewable over the lifetime of a universe, and renewable if universes turn out to be cyclical. And all but the first are pendantry in the context of renewable energy conversations.
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