While I agree that my proof is blunt, yours doesn’t prove that .999… is equal to -1. With your assumption, the infinite 9’s behave like they’re finite, adding the 0 to the end, and you forgot to move the decimal point in the beginning of the number when you multiplied by 10.

x=0.999…999

10x=9.999…990 assuming infinite decimals behave like finite ones.

Now x - 10x = 0.999…999 - 9.999…990

-9x = -9.000…009

x = 1.000…001

Thus, adding or subtracting the infinitesimal makes no difference, meaning it behaves like 0.

Edit: Having written all this I realised that you probably meant the infinitely large number consisting of only 9’s, but with infinity you can’t really prove anything like this. You can’t have one infinite number being 10 times larger than another. It’s like assuming division by 0 is well defined.

0a=0b, thus

a=b, meaning of course your …999 can equal -1.

Edit again: what my proof shows is that even if you assume that .000…001≠0, doing regular algebra makes it behave like 0 anyway. Your proof shows that you can’t to regular maths with infinite numbers, which wasn’t in question. Infinity exists, the infinitesimal does not.

x=.9999…

10x=9.9999…

Subtract x from both sides

9x=9

x=1

There it is, folks.

So sad, Hamas using his life force as a hidden base. They truly know no shame!

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Name one thing he did that was worse than what the republicans have done? Voting for Biden this fall doesn’t means you have to agree with him. You simply have to agree that having Trump win would be worse. This is like the trolley problem - you’re fucked either way but you can decide how fucked you prefer being.

Yes he is a conservative and will crush all attempts to end capitalism, but you have to admit one party is clearly more zealous about ending democracy than the other.

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So when the republican christofascist dictatorship comes, at least you will have a clean conscience, knowing you didn’t vote for preserving satus quo, shitty as it may be. Good for you!

I hope, if you can’t find it in yourself to put a ballot in the urn for the lesser evil, that you can put a bullet in the head of the greater.

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Just shave the excess off and you’re good to go.

Two candidates that support genocide, but one is a christofascist. No matter who you vote for, genocide support wins. But you think it’s better to give the christofascist better odds than to inconvenience yourself with a vote you don’t 100% agree with, and possibly abstain from your chance to ever vote again. Not voting won’t fix the issue, since there’s no threshold on voter turnout for the election to count. The struggle against genocide must be fought in other ways. So unfortunately, this fall you’re getting genocide, so please make sure you don’t get fascism too.

Except, it’s not an attempt to end democracy, as fascism is.

You just have to appreciate the craftsmanship of a good, clever, witty insult. Can’t really get mad!

Did you just assume the straw person’s gender?

If you get a bad trip from cat nip, is that a “nip slip”?

Oh it’s very unusual!

I feel like the caffeine is the least of your problems if you drink 70 cups of coffee in a day. ~15 liters of fluid is no joke.

And after Turkey is done we get to live it all over again with Hungary