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nostromo
on Feb 9, 2016
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Olbers’ Paradox: Why Is the Sky Dark at Night? (20...
If you reduce the power of infinite stars, you still have infinite stars producing infinite light.
x * infinity = infinity (so long as x > 0; even if x is infinitesimally small)
jwally
on Feb 9, 2016
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But you can't have infinite stars in your field of view since they'd get in each other's way; blocking radiation. Using the tree example from the article, you wouldn't see infinite trees, you'd only see the pieces that are directly in front of you.
tamana
on Feb 9, 2016
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No, infinity times infinitesimal is undefined, you have to define your infinities more carefully to get an answer.
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x * infinity = infinity (so long as x > 0; even if x is infinitesimally small)