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submitted 2 weeks ago by [email protected] to c/[email protected]

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[-] [email protected] 19 points 2 weeks ago

There's a Real Analysis proof for it and everything.

Basically boils down to

If 0.(9) != 1 then there must be some value between 0.(9) and 1.
We know such a number cannot exist, because for any given discrete value (say 0.999...9) there is a number (0.999...99) that is between that discrete value and 0.(9)
Therefore, no value exists between 0.(9) and 1.
So 0.(9) = 1

[-] [email protected] 8 points 2 weeks ago

Even simpler: 1 = 3 * 1/3

1/3 =0.333333....

1/3 + 1/3 + 1/3 = 0.99999999... = 1

[-] [email protected] 2 points 2 weeks ago

Even simpler

0.99999999… = 1

But you're just restating the premise here. You haven't proven the two are equal.

1/3 =0.333333…

This step

1/3 + 1/3 + 1/3 = 0.99999999…

And this step

Aren't well-defined. You're relying on division short-hand rather than a real proof.

[-] SuperSaiyanSwag 1 points 2 weeks ago

ELI5

[-] [email protected] 2 points 2 weeks ago

Mostly boils down to the pedantry of explaining why 1/3 = 0.(3) and what 0.(3) actually means.

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this post was submitted on 27 Jun 2024

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