r/limitlessnines

▲ 0 r/limitlessnines+1 crossposts

Why 9.999…-9=0.999…

Infinity - 1 = infinity. Both have an infinite amount of zeroes after the decimal.
If you need proof inf-1=inf, imagine this.
Say you have infinitely many boxes, where only the first is empty. You want to fill each box with only what is in the next box. There is no time limit. Will you ever hit a point where you run out of boxes?

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u/Dixionconderoga2 — 8 days ago
▲ 14 r/limitlessnines+1 crossposts

I will give him 24 HOURS to RECANT his position. He SAYS 0.333...333... = 0.333... and 0.333... = 0.3 + ( 1 - 1/10^n ) / 30. Can YOU spot his ROOKIE ERROR?

0.333... = 0.3 + (1/10) * 0.333...

1/3 = 0.333...3 + (0.000...1 / 3)

1/3 = 0.333...333...

0.333...333... "indeed is" 0.333...

0.333... = 0.3 + [ 1 - 1/10^n ]/30

Hint: this means for ANY n, LIMITLESS or NOT...

0.333... = (1/3) x ( 1 - 1/10^n ) + (0.333...) x ( 1/10^n )

1 - 1/10^n is (0.9, 0.99, 0.999, ...) so 1/3 x ( 1 - 1/10^n ) is (0.3, 0.33, 0.333, ...).

Conversely, 0.333... x ( 1/10^n ) is (0.0333..., 0.00333..., ...).

Combined TOGETHER, these terms reconstruct a full infinite string of 3s.

Now, can you SPOT his ROOKIE ERROR that makes his whole position FALL APART?

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u/Muphrid15 — 9 days ago

We need to make a game of this..

Since there's profoundly no point trying to engage with SPP in good faith (the guy is an idiot... or a pathetic troll (I can't decide which)) what we need is a game.

  • One point if you get him to invoke 0.000...1
  • One point every time he responds that you can't, "limit the limitless."
  • One point every time you get, "x is permanently less-than/greater-than"
  • One point every time you prompt him to invoke, "divide negation."
  • Two points if you provoke something about busses or signing a contract.
  • Five points if he locks your comment.
  • If he bans you you get five points for every day of the ban (as long as you don't violate Reddit site rules to do it.)
  • Twenty five points if your post/comment causes SPP to invent a new "axiom" of Real Deal Maths to cope with its implications.
  • Infinity points if you manage to figure out what the fuck "limbosic" means.

Have I missed anything?

I'm open to further suggestions for rules, and yes... you can make this into a drinking game (if you don't value your liver.)

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u/StupidWittyUsername — 12 days ago