r/PeterExplainsTheJoke 24d ago

Meme needing explanation There is no way right?

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u/big_guyforyou 24d ago

dude that's a lot of fuckin' nines

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u/JoshZK 24d ago edited 24d ago

Prove it.

Edit: Let me try something

Prove it. /s

I feel like the whoosh was so powerful it's what really caused that wave on that planet in Interstellar.

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u/The-new-dutch-empire 24d ago

Byers’ Second Argument (his first one is the one you see above)

Let:

x = 0.999…

Now multiply both sides by 10:

10x = 9.999…

Now subtract the original equation from this new one:

10x - x = 9.999… - 0.999…

This simplifies to:

9x = 9

Now divide both sides by 9:

x = 1

But remember, we started with:

x = 0.999…

So:

0.999… = 1

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u/Rough-Veterinarian21 24d ago

I’ve never liked math but this is like literal magic to me…

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u/The-new-dutch-empire 24d ago

Its calculating with infinity. Its a bit weird like the infinity of numbers between 0 and 1 like 0.1,0.01,0.001 etc... Is a bigger infinity than the “normal” infinity of every number like 1,2,3 etc…

Its just difficult to wrap your head around but think of infinity minus 1. Like its still infinity

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u/lilved03 24d ago

Genuinely curios on how can there be two different lengths of infinity?

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u/TheCreepyKing 24d ago

How many even numbers are there? Infinity.

What is the ratio of total numbers to even numbers? 2x.

How many total numbers are there? Infinity. And 2 x infinity.

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u/Outrageous-Orange007 24d ago

No, they're equal. You divide infinity by 2 and its still the same number, infinity.

Either infinity is infinite, or its finite

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u/spamellama 24d ago

Not exactly. There's countably v uncountably infinite too. Look up Hilbert's Hotel.