## 0.999... not equal 1. Its Math BS | |

The Split User ID: 158137 United States 10/25/2006 02:34 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 140901 United States 10/25/2006 02:46 AM Report Abusive Post Report Copyright Violation | you don't understand infinity, or the concept of limits. if you have an infinite number of widgets, and then you double them, you still have an infinite amount. But 2x does not equal x, we all know that! Uh, it does when you have nothing, because you still have nothing even if you double it. Confused yet? |

Zima User ID: 74875 United States 10/25/2006 02:47 AM Report Abusive Post Report Copyright Violation | |

ChuckUser ID: 85992 United States 10/25/2006 02:50 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 60359 United States 10/25/2006 02:57 AM Report Abusive Post Report Copyright Violation | Isn't that similar to why the hare can never beat the tortise to the finish line? This site has some math funnies on it: [link to immense-world.blogspot.com] |

IVVII User ID: 158137 United States 10/25/2006 03:06 AM Report Abusive Post Report Copyright Violation | |

9net (OP)User ID: 158357 Israel 10/25/2006 03:11 AM Report Abusive Post Report Copyright Violation | Isn't that similar to why the hare can never beat the tortise to the finish line? Quoting: This site has some math funnies on it: [link to immense-world.blogspot.com] Anonymous Coward 60359Use common sense.Faster object wins eventually.if we discuss the time it takes to "reach the turtle" we shift he perception on the time period. What the paradox is about is dicussing smaller and smaller time periods before the hare/achiles reaches the turtle,just like looking at infinite fractions. THe paradox is looking at time period which separate two objects,and then looks at smaller time period,which separates objects after "the first period passed".Its deception. |

Anonymous Coward User ID: 158137 United States 10/25/2006 03:20 AM Report Abusive Post Report Copyright Violation | |

The EnchanterUser ID: 125912 United States 10/25/2006 03:22 AM Report Abusive Post Report Copyright Violation | |

The EnchanterUser ID: 125912 United States 10/25/2006 03:24 AM Report Abusive Post Report Copyright Violation | you don't understand infinity, or the concept of limits. Quoting: if you have an infinite number of widgets, and then you double them, you still have an infinite amount. But 2x does not equal x, we all know that! Uh, it does when you have nothing, because you still have nothing even if you double it. Confused yet? Anonymous Coward 140901Someone else took some calculus... |

9net (OP)User ID: 158357 Israel 10/25/2006 03:55 AM Report Abusive Post Report Copyright Violation | Pi is infinite; yet stable enough to generate a perfect circle... Quoting: Anonymous Coward 158137Pi is not "stable" whatever it means, PI is DERIVED from circle ratio to diameter.Decimal expansion of Pi is infinite and incomplete(though some japanese reserchers calculated billion of Pi digits) |

9net (OP)User ID: 158357 Israel 10/25/2006 03:59 AM Report Abusive Post Report Copyright Violation | you don't understand infinity, or the concept of limits. Quoting: if you have an infinite number of widgets, and then you double them, you still have an infinite amount. But 2x does not equal x, we all know that! Uh, it does when you have nothing, because you still have nothing even if you double it. Confused yet? Someone else took some calculus... The EnchanterYou can't have Infinite Number of Something Material,Its a fixed number and 2x are always 2x. 2x widgets are twice as big as x. Infinity cannot be represented by a number.Its a concept. side note:how do you fit infinite widgets in our little universe? |

ÆonUser ID: 122996 United States 10/25/2006 04:01 AM Report Abusive Post Report Copyright Violation | |

PI-thagerous User ID: 158137 United States 10/25/2006 04:01 AM Report Abusive Post Report Copyright Violation | |

HH User ID: 83967 United Kingdom 10/25/2006 04:02 AM Report Abusive Post Report Copyright Violation | you don't understand infinity, or the concept of limits. Quoting: if you have an infinite number of widgets, and then you double them, you still have an infinite amount. But 2x does not equal x, we all know that! Uh, it does when you have nothing, because you still have nothing even if you double it. Confused yet? Anonymous Coward 140901However, if you take an inifnite series of numbers and then look at just the odd number where infinity is x odd/infinity is 1/2x. The odd/infinity is still infinite but now half the size of the whole series. Similarly, take every thrid number. Now you have a 1/3x series, again smaller than 1/2x or x yet still infinite. Confused? |

ÆonUser ID: 122996 United States 10/25/2006 04:08 AM Report Abusive Post Report Copyright Violation | |

9net (OP)User ID: 158357 Israel 10/25/2006 04:09 AM Report Abusive Post Report Copyright Violation | 1/9 = .111... Quoting: 2/9 = .222... 3/9 = .333... 4/9 = .444... 5/9 = .555... 6/9 = .666... 7/9 = .777... 8/9 = .888... 9/9 = .999... I see a pattern here. And if 9/9 = .999..., then .999... = 1, because 9/9 = 1. ÆonHow can you be so sure you can count 0.111...? does it really equal 1/9? Division of this fraction never stops. 0.xxx... is different number which is approximate to soluiton of 1/9,adding extra digits ad infinitum. 0.1,0.11,0.111, etc.1/9 is exact.9/9 is exact. |

HH User ID: 83967 United Kingdom 10/25/2006 04:30 AM Report Abusive Post Report Copyright Violation | |

9net (OP)User ID: 158357 Israel 10/25/2006 04:42 AM Report Abusive Post Report Copyright Violation | Confused? Quoting: Greater and lesser degrees of infinity is not confusing. The set of prime numbers is infinite. But it's a far smaller infinity than the set of whole numbers. Exactly. HH 83967Clearly fails to be infinite.If the infinity (larger then anything) cannot be smalller then anything. You speak of a "extremely large set of numbers,uncountable" not infinity.] I see there few prime numbers per normal numbers,but they both aren't considered infinite because set of Real Numbers (fraction x.yyyy) is bigger,the set of some exotic numbers like Surreal and Imaginary is bigger still, There list of numebrs at [link to en.wikipedia.org] Infinity is larger then this of course,and even the sum of all numbers,or multiplication of them all. |

Anonymous Coward User ID: 60359 United States 10/25/2006 04:55 AM Report Abusive Post Report Copyright Violation | Integers stop, by definition real numbers never stop. "0" is an integer "0.00000000...." is a real number 0 = 0.000000.... This is apples and oranges... It's Ok, but exactly speaking it's not correct because these are two different kinds of number systems. You are confusing integers, such as 1, 2, 3,... 104, ... and so on with "real numbers", such as: 1.0000000..... 2.0000000..... 3.0000000..... 4.0000000..... etc. "real numbers" never stop. The math of integers and "real numbers" is not the same. "Real Numbers", by definition can not be written except as a process of endless writing, the more digits you write down the closer you get to the "real number" In any event, numbers are not real things, they are only ideas. Take the concept of the number "1", this is just an abstraction. If you want to agree that "1" + "1" = "2", then you need to know that you are dealing with mental abstractions, because in reality there are no two things in existence that are exactly identical. In order to place two things into the set of similar items so they can both be considered "1"s you have to mentally abstract those things so that their differences are ignored. 1/9 = .111... Quoting: 2/9 = .222... 3/9 = .333... 4/9 = .444... 5/9 = .555... 6/9 = .666... 7/9 = .777... 8/9 = .888... 9/9 = .999... I see a pattern here. And if 9/9 = .999..., then .999... = 1, because 9/9 = 1. How can you be so sure you can count 0.111...? does it really equal 1/9? Division of this fraction never stops. 0.xxx... is different number which is approximate to soluiton of 1/9,adding extra digits ad infinitum. 0.1,0.11,0.111, etc.1/9 is exact.9/9 is exact. 9net 158357 |

The EnchanterUser ID: 125912 United States 10/25/2006 05:02 AM Report Abusive Post Report Copyright Violation | Confused? Quoting: Greater and lesser degrees of infinity is not confusing. The set of prime numbers is infinite. But it's a far smaller infinity than the set of whole numbers. ÆonWhoa... Smaller Infinity? Maybe just slower? Nope. No such thing. Infinity is infinity. |

The EnchanterUser ID: 125912 United States 10/25/2006 05:04 AM Report Abusive Post Report Copyright Violation | Integers stop, by definition real numbers never stop. Quoting: "0" is an integer "0.00000000...." is a real number 0 = 0.000000.... This is apples and oranges... It's Ok, but exactly speaking it's not correct because these are two different kinds of number systems. You are confusing integers, such as 1, 2, 3,... 104, ... and so on with "real numbers", such as: 1.0000000..... 2.0000000..... 3.0000000..... 4.0000000..... etc. "real numbers" never stop. The math of integers and "real numbers" is not the same. "Real Numbers", by definition can not be written except as a process of endless writing, the more digits you write down the closer you get to the "real number" In any event, numbers are not real things, they are only ideas. Take the concept of the number "1", this is just an abstraction. If you want to agree that "1" + "1" = "2", then you need to know that you are dealing with mental abstractions, because in reality there are no two things in existence that are exactly identical. In order to place two things into the set of similar items so they can both be considered "1"s you have to mentally abstract those things so that their differences are ignored. 1/9 = .111... 2/9 = .222... 3/9 = .333... 4/9 = .444... 5/9 = .555... 6/9 = .666... 7/9 = .777... 8/9 = .888... 9/9 = .999... I see a pattern here. And if 9/9 = .999..., then .999... = 1, because 9/9 = 1. How can you be so sure you can count 0.111...? does it really equal 1/9? Division of this fraction never stops. 0.xxx... is different number which is approximate to soluiton of 1/9,adding extra digits ad infinitum. 0.1,0.11,0.111, etc.1/9 is exact.9/9 is exact. Anonymous Coward 60359Sweet... I can't believe you took the time to type that and quell this. I'm too lazy. |

Anonymous Coward User ID: 11338 Australia 10/25/2006 05:05 AM Report Abusive Post Report Copyright Violation | Decimal places are an illusion. You can only have zero of something, or one of something. Nothing in between. For example you could claim to have 0.2 of a litre of water, but that is just a fraction of an idea that is something we call a litre. You could claim to chop an apple in half and have 0.5 of it. The other half still exists therfore = 1.0 apples. You could mash the apple down to an atomic level, but then you would be counting whole atoms, not fractions of an apple. If you split those atoms you dont have 0.1 of an atom or whatever number. You no longer have the atom. It has gone from one atom to zero atoms. |

HH User ID: 83967 United Kingdom 10/25/2006 05:08 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 60359 United States 10/25/2006 05:14 AM Report Abusive Post Report Copyright Violation | You say illusion, I say idea, illusion, idea, it's all the same to me. Imaginary numbers are really illusions, but they have been very useful in math. Numbers are not real, physical things, they only exist in thought space. They are infinitely flexible. When you stop to think about it, it is amazing how useful those crazy ideas have been. Decimal places are an illusion. Quoting: You can only have zero of something, or one of something. Nothing in between. For example you could claim to have 0.2 of a litre of water, but that is just a fraction of an idea that is something we call a litre. You could claim to chop an apple in half and have 0.5 of it. The other half still exists therfore = 1.0 apples. You could mash the apple down to an atomic level, but then you would be counting whole atoms, not fractions of an apple. If you split those atoms you dont have 0.1 of an atom or whatever number. You no longer have the atom. It has gone from one atom to zero atoms. Anonymous Coward 11338 |

HH User ID: 83967 United Kingdom 10/25/2006 06:57 AM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 150446 United States 10/25/2006 04:49 PM Report Abusive Post Report Copyright Violation | We have had this discussion before, but the OP is correct. .9999999... does not equal 1, it CANNOT. .9 is < 1, by 1/10 .99 is < 1, by 1/100 .999 is < 1 by 1/1000 No matter how many nines you add, the 1 in the numerator NEVER goes away, even though the denominator becomes infinitely large. So, 1 divided by an infinitely large number, is still GREATER than zero divided by an infinitely large number. I write this as someone who had a perfect math score on the ACT test. I know correctness when I see it, and I know an error when I see it. |

Anonymous Coward User ID: 143138 Brazil 10/25/2006 04:58 PM Report Abusive Post Report Copyright Violation | |

Anonymous Coward User ID: 150446 United States 10/25/2006 05:05 PM Report Abusive Post Report Copyright Violation | 5.4567... = 18000 if you consider that the small decimal increments in 5.4567.. will go on forever. Quoting: every number is a 'disconnected' aspect of 1 and zero is the total disconnection of 1. Anonymous Coward 143138Huh ? 5.4567...will always be less than 6, not to mention less than 5.5. Not exactly 18,000. |

bbbUser ID: 130546 United States 10/25/2006 05:28 PM Report Abusive Post Report Copyright Violation | 1/9 = .111... Quoting: 2/9 = .222... 3/9 = .333... 4/9 = .444... 5/9 = .555... 6/9 = .666... 7/9 = .777... 8/9 = .888... 9/9 = .999... I see a pattern here. And if 9/9 = .999..., then .999... = 1, because 9/9 = 1. ÆonI don't believe the people that posted here are beyond a third grade level. 1/9th < .111... 9/9th > .999... |

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