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| Acmlm's Board - I2 Archive - Craziness Domain - Mathmatical proof of "1+1=2"! |
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kitty Come on babe, pet the pussy ;) Level: 70 Posts: 1370/2449 EXP: 2962406 For next: 53405 Since: 03-15-04 From: Scranton, PA, USA Since last post: 3 hours Last activity: 3 hours |
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FreeDOS: He's saying a non-terminating number, which has an infinite number of digits to the right of the decimal point. You can't expect someone whose native language is not English to always know the terminology for everything  0.333 != 0.3~. 0.3~ cannot be expressed properly in decimal form. It's that simple. |
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Legion banning people for no reason sure is fun Level: 101  Posts: 4008/5657 EXP: 10399737 For next: 317938 Since: 03-15-04 From: The Crossroads is under attack! Since last post: 5 days Last activity: 5 days |
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Originally posted by FreeDOSOriginally posted by Darth Legious Uh.......... I know.  My original post still stands. |
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FreeDOS Lava Lotus Wannabe-Mod :< Level: 59 Posts: 1453/1657 EXP: 1648646 For next: 24482 Since: 03-15-04 From: Seattle Since last post: 6 hours Last activity: 4 hours |
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| You mght want to read on Recurring decimals, then. Since you have no idea what they are. | |||
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Legion banning people for no reason sure is fun Level: 101 Posts: 4012/5657 EXP: 10399737 For next: 317938 Since: 03-15-04 From: The Crossroads is under attack! Since last post: 5 days Last activity: 5 days |
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| What's with the snooty attitude? Like I said, it's pretty much commonly accepted, but in technical terms and essence, 1/3 does not equal .333~. Keyword in that article: represent (edited by Darth Legious on 05-26-05 11:48 AM) (edited by Darth Legious on 05-26-05 01:28 PM) |
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kitty Come on babe, pet the pussy ;) Level: 70 Posts: 1371/2449 EXP: 2962406 For next: 53405 Since: 03-15-04 From: Scranton, PA, USA Since last post: 3 hours Last activity: 3 hours |
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Originally posted by FreeDOSI think you need to read it. Leg's right, and why? 0.3~ is a theoretical number. 1/3 is an actual one. |
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The SomerZ Summer, yay! Level: 45  Posts: 771/862 EXP: 618182 For next: 41982 Since: 03-15-04 From: Norway Since last post: 2 days Last activity: 3 hours |
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Originally posted by FreeDOSOriginally posted by The Gamorr Z Nope, I ain't confusing anything here. I'm simply wording myself in a poor manner. *sigh* .999~ is a number with an infinte number of digits, while 1 has a finite number of digits. That way they are not comparable. There, happy now?  |
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neotransotaku Baby Mario 戻れたら、 誰も気が付く Level: 87 Posts: 3086/4016 EXP: 6220548 For next: 172226 Since: 03-15-04 From: Outside of Time/Space Since last post: 11 hours Last activity: 1 hour |
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Originally posted by The Gamorr ZTrailing zeros are ignored here anyways, i'd like to throw out that it has been proven that no set of axioms will encompasss all properties we know about math without contradiction as for my stance of .3333~ = 1/3, why do you people care whether it is equal or not? what does it matter to you? does it make your life any different if you choose to see it one way or another. for the average person, it is sufficient for .3333~ = 1/3. for a theorist, maybe not. but anyways, if lives are lost because someone chose .3333~ over 1/3 (or vice versa), then i'll kill myself. |
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MathOnNapkins Math n' Hacks Level: 67  Posts: 1885/2189 EXP: 2495887 For next: 96985 Since: 03-18-04 From: Base Tourian Since last post: 1 hour Last activity: 32 min. |
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| .9999~ versus 1 is a matter of representation. Like I said before, they are the same number. A sequence 1.01, 1.0001, 1.000001, etc. is also equal to 1 at limit point. And Legion, the point of a convergent sequence is that it does actually get there, but at infinity. The only infinitely repeating numbers of finite order that are not comparable to a finite representation would be the irrationals. You will not find a way to represent sqrt(2) , for example, in a finite way using conventional means. By the way, all numbers are theoretical. They do no inherently exist, they are abstractions of things we experience and perceive. anyways, i'd like to throw out that it has been proven that no set of axioms will encompasss all properties we know about math without contradiction Not quite. It has been proven that axiomatic systems will yield an infinite number of results, some of which are neither provable or disprovable. (edited by MathOnNapkins on 05-26-05 02:46 PM) |
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Legion banning people for no reason sure is fun Level: 101 Posts: 4018/5657 EXP: 10399737 For next: 317938 Since: 03-15-04 From: The Crossroads is under attack! Since last post: 5 days Last activity: 5 days |
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Originally posted by neotransotaku We have nothing else to talk about. |
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Graviteh Level: 31 Posts: 312/500 EXP: 165989 For next: 19374 Since: 03-27-05 From: The Internet Since last post: 42 days Last activity: 1 day |
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Originally posted by MathOnNapkins Yes, but in .999~ 9 is repeating. In 1.001 you are just adding a zero between the decimal and the last 1. |
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MathOnNapkins Math n' Hacks Level: 67 Posts: 1907/2189 EXP: 2495887 For next: 96985 Since: 03-18-04 From: Base Tourian Since last post: 1 hour Last activity: 32 min. |
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| Funny the person I agree with should pick a fight with me. Listen, there is a distinct difference between the limit point of a sequence, and the members of the sequence. .9~ is a number but what it actually is is the limit of a sequence .9, .99, .999, .9999,... likewise 1.01, 1.001, 1.0001, 1.00001 converges to 1. There are INFINITELY many sequences which converge to 1. e.g. .98, .998, .9998, .99998, .... Any such sequence is a suitable representation for 1, as long as its limit is 1. They effectively equal 1. There is no argument about it. This is okay because in analysis we speak of numbers having infinitely many digits. It doesn't matter if all the digits after a point are zero. The key is in the patterns of the digits (irrational, rational). .33333... = 1/3, .66666... = 2/3, end of story. |
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neotransotaku Baby Mario 戻れたら、 誰も気が付く Level: 87 Posts: 3089/4016 EXP: 6220548 For next: 172226 Since: 03-15-04 From: Outside of Time/Space Since last post: 11 hours Last activity: 1 hour |
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Originally posted by MathOnNapkinsi think someone will try to refute |
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MathOnNapkins Math n' Hacks Level: 67 Posts: 1910/2189 EXP: 2495887 For next: 96985 Since: 03-18-04 From: Base Tourian Since last post: 1 hour Last activity: 32 min. |
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| Okay proof time. There's no arguing with proof let x(n) = .333...n digits (n digits of 3 after the decimal point) The long division calculation of 1/3 yields the .33333... infinte expansion exactly. Thus every element of x(n) is <= 1/3. Then we need to show that for 1/3 - x(n) < b for arbitrarily small b > 0 as long as n is large enough. The sequence is monotone increasing, so x(n+1) >= x(n). It is also clear that the sequence is bounded. For b small, we can always find the first non zero digit to the right of the decimal point. for example in .0003455, the first non zero digit is 3. Then we also know how many decimal places over it lies at. Call that N. As long as n >= (N + 1), (1/3 - x(n)) < b Now die. |
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Graviteh Level: 31 Posts: 313/500 EXP: 165989 For next: 19374 Since: 03-27-05 From: The Internet Since last post: 42 days Last activity: 1 day |
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Originally posted by MathOnNapkins I'm not trying to fight, I just wanted to say something I noticed. |
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knuck Hinox Banned until 19-58-5815: trolling, flaming, spamming, being a general fucktard... Level: 62 Posts: 1298/1818 EXP: 1894574 For next: 90112 Since: 03-15-04 Since last post: 14 hours Last activity: 9 hours |
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Originally posted by MathOnNapkinsNo. If 1/3 was 0.333..., 3*0.333... should be equal to 1, since 3*1/3 = 1. |
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NSNick Laidback Admin Level: 85  Posts: 2319/3875 EXP: 5895841 For next: 2699 Since: 03-15-04 From: North Side School: OSU Since last post: 9 hours Last activity: 1 hour |
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Originally posted by knuckOriginally posted by MathOnNapkinsNo. 3*.333~ is equal to 1. |
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knuck Hinox Banned until 19-58-5815: trolling, flaming, spamming, being a general fucktard... Level: 62 Posts: 1300/1818 EXP: 1894574 For next: 90112 Since: 03-15-04 Since last post: 14 hours Last activity: 9 hours |
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| What I'm saying is that 1/3 != 0.333... (edited by knuck on 05-28-05 05:50 AM) (edited by knuck on 05-28-05 05:52 AM) |
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Graviteh Level: 31 Posts: 316/500 EXP: 165989 For next: 19374 Since: 03-27-05 From: The Internet Since last post: 42 days Last activity: 1 day |
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| if you apply my proof that .999~ = 1 and .333~ is one third of .999~, then .333~ is one third of 1 |
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Yoshi Dude XKEEPER STOLE MY CAR KEYS Level: 79  Posts: 2069/3271 EXP: 4572680 For next: 6787 Since: 03-15-04 From: give me a number folks. Since last post: 3 hours Last activity: 2 hours |
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Originally posted by Graviteh Or you could use your method of proving .999~=1 is the same as .333~=1/3 x = .333~ then multiply each side by ten 10x=3.33~ then subract x=.333~ from 10x=3.33~ 10x=3.33~ - x= .333~ -------------- 9x=3 and then divide by 9 x=3/9 or 1/3 I never understood how it worked out that you could just subract the x=.333~. My teacher explained it once. shrug |
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Legion banning people for no reason sure is fun Level: 101 Posts: 4090/5657 EXP: 10399737 For next: 317938 Since: 03-15-04 From: The Crossroads is under attack! Since last post: 5 days Last activity: 5 days |
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Originally posted by Graviteh But your proof is flawed because .999~ != 1  |
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| Acmlm's Board - I2 Archive - Craziness Domain - Mathmatical proof of "1+1=2"! |
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