Why was the early suggestion that cosmic dust absorbs distant starlight insufficient to resolve the paradox?

Answer

The dust would eventually heat up and glow as brightly as the stars themselves

If enough dust were present to block the light from an infinite number of stars, that dust would absorb a vast amount of energy, causing it to reach thermal equilibrium and emit light at the same intensity as the stars it was obscuring.

Why was the early suggestion that cosmic dust absorbs distant starlight insufficient to resolve the paradox?
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