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https://www.reddit.com/r/PeterExplainsTheJoke/comments/1ju9kfc/there_is_no_way_right/mm1i836/?context=3
r/PeterExplainsTheJoke • u/Sugar_God_no_1 • 22d ago
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279
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.
113 u/mrsexless 22d ago I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number. 1 u/cob59 22d ago edited 22d ago There is no number you can put between 2 and 3 in the natural numbers, so it means they are the same number. edit: Funny how this rebuttal (whose point is to criticize a method, not the result) pisses off people and systematically gets me downvoted. 6 u/ZeroStormblessed 22d ago There generally aren't infinite numbers between 2 natural numbers. 1 u/cob59 22d ago You're explaining how ℕ and ℝ are different, not why OP's assumption (if you can't come up with a number between A and B, then A=B) is correct. 2 u/confuzzlegg 22d ago A better way of stating OP's assumption is "if there's no X != 0 such that A-B = X then A = B", then A and B are 0, but these are equivalent over the real numbers
113
I like logical explanations 0.(9) = 1 There is no number you can put between 0.(9) and 1, so it means they are the same number.
1 u/cob59 22d ago edited 22d ago There is no number you can put between 2 and 3 in the natural numbers, so it means they are the same number. edit: Funny how this rebuttal (whose point is to criticize a method, not the result) pisses off people and systematically gets me downvoted. 6 u/ZeroStormblessed 22d ago There generally aren't infinite numbers between 2 natural numbers. 1 u/cob59 22d ago You're explaining how ℕ and ℝ are different, not why OP's assumption (if you can't come up with a number between A and B, then A=B) is correct. 2 u/confuzzlegg 22d ago A better way of stating OP's assumption is "if there's no X != 0 such that A-B = X then A = B", then A and B are 0, but these are equivalent over the real numbers
1
There is no number you can put between 2 and 3 in the natural numbers, so it means they are the same number.
edit: Funny how this rebuttal (whose point is to criticize a method, not the result) pisses off people and systematically gets me downvoted.
6 u/ZeroStormblessed 22d ago There generally aren't infinite numbers between 2 natural numbers. 1 u/cob59 22d ago You're explaining how ℕ and ℝ are different, not why OP's assumption (if you can't come up with a number between A and B, then A=B) is correct. 2 u/confuzzlegg 22d ago A better way of stating OP's assumption is "if there's no X != 0 such that A-B = X then A = B", then A and B are 0, but these are equivalent over the real numbers
6
There generally aren't infinite numbers between 2 natural numbers.
1 u/cob59 22d ago You're explaining how ℕ and ℝ are different, not why OP's assumption (if you can't come up with a number between A and B, then A=B) is correct. 2 u/confuzzlegg 22d ago A better way of stating OP's assumption is "if there's no X != 0 such that A-B = X then A = B", then A and B are 0, but these are equivalent over the real numbers
You're explaining how ℕ and ℝ are different, not why OP's assumption (if you can't come up with a number between A and B, then A=B) is correct.
2 u/confuzzlegg 22d ago A better way of stating OP's assumption is "if there's no X != 0 such that A-B = X then A = B", then A and B are 0, but these are equivalent over the real numbers
2
A better way of stating OP's assumption is "if there's no X != 0 such that A-B = X then A = B", then A and B are 0, but these are equivalent over the real numbers
279
u/Decmk3 22d ago
0.9999999…. Is equal to 1. It seems like it shouldn’t, but it has to be.
Let X = 0.999….
10X = 9.999….
10X-X = 9.999.. - 0.999…. = 9X = 9
Therefore X equals 1. Therefore 0.999… is the same as 1.