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Infinitely short days

The following quote is from Proofs of God’s ExistenceImage may be NSFW.
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by Richard Wurmbrand:

Proponents of the Big Bang theory (of the earth’s origin) have noted that, looking back, the length of the day diminishes by 0.002 seconds every century, which means it decreases by 1 second every 50,000 years. By counting back to a day of zero length, they claim to have discovered the age of the earth: four-and-a-half billion years.

Is it just me, or does this make no sense? How exactly can a day have zero length? Wouldn’t the planet have to be rotating with infinite speed in order to go around once every no seconds?

I’m more of a philosophy person than a physics person, so I’d appreciate input from someone with more information.


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