falxori 0 #76 January 8, 2004 QuoteActually, I believe you need calculus to "prove" the fallacy of Zeno's Paradox or a VERY long excel sheet O "Carpe diem, quam minimum credula postero." Quote Share this post Link to post Share on other sites
FunBobby 0 #77 January 8, 2004 Okay, so I finally remembered all that stuff from way back when. Is this calculus or algebra? Seems like algebra to me..... (See attached) FunBobby Quote Share this post Link to post Share on other sites
FunBobby 0 #78 January 8, 2004 QuoteQuotewill be neck and neck at 11.1111111111 meters. One moment after that, Achilles will be ahead not if a "moment" is defined as 0.00000000001 or smaller O Yeah, yeah, you know what I mean. At (10/9) m, they will have travelled and equal distances. FunBobby Quote Share this post Link to post Share on other sites
happythoughts 0 #79 January 8, 2004 QuoteActually, I believe you need calculus to "prove" the fallacy of Zeno's Paradox. Or common sense... Zeno is going to where the tortoise was and stopping, while the tortoise is now up ahead. Kind of like diving for the spot where the formation was when you left the plane... oops, they moved. Diving for the new spot... oops, they moved. Quote Share this post Link to post Share on other sites
quade 4 #80 January 8, 2004 I'm talking about a mathematical proof, which is something beyond common sense. Using common sense, -obviously- it's a fallacy. To think otherwise would be just silly.quade - The World's Most Boring Skydiver Quote Share this post Link to post Share on other sites
kallend 2,027 #81 January 8, 2004 QuoteI'm talking about a mathematical proof, which is something beyond common sense. Using common sense, -obviously- it's a fallacy. To think otherwise would be just silly. I don't think you need calculus to sum a convergent infinite series.... The only sure way to survive a canopy collision is not to have one. Quote Share this post Link to post Share on other sites
happythoughts 0 #82 January 8, 2004 QuoteI'm talking about a mathematical proof, which is something beyond common sense. I agree, no one believes that math makes any sense, but I couldn't convince my parents of that. Quote Share this post Link to post Share on other sites
lummy 4 #83 January 8, 2004 The faulty logic is "a Greek city on the Italian coast"I promise not to TP Davis under canopy.. I promise not to TP Davis under canopy.. eat sushi, get smoochieTTK#1 Quote Share this post Link to post Share on other sites
kallend 2,027 #84 January 8, 2004 QuoteQuoteI'm talking about a mathematical proof, which is something beyond common sense. I agree, no one believes that math makes any sense, but I couldn't convince my parents of that. Like the sum of a conditionally convergent infinite series ... you can get any answer you like by reordering the terms.... The only sure way to survive a canopy collision is not to have one. Quote Share this post Link to post Share on other sites
FliegendeWolf 0 #85 January 9, 2004 This is too funny! A One that Isn't Cold is Scarcely a One at All Quote Share this post Link to post Share on other sites
speedy 0 #86 August 5, 2005 Quote8 pirates and a monkey are marooned on an island. The pirates collect coconuts and agree to divide them up in the morning. During the night a pirate wakes up and thinks his colleagues will steal his share, so he takes and hides 1/8 of the coconutrs, throws a coconut to the monkey, and returns to sleep. Shortly after another pirate wakes up, takes 1/8 of the remaining coconuts and hides them, throws one of the remainder to the monkey, and goes back to sleep. Then another pirate awakes and does the exact same thing. And then the next, and then the next, etc. until each pirate has done it. In the morning they share the remaining coconuts equally, and finding a remainder of one, they give it to the monkey. What is the smallest number of coconuts they could have started with? I am still not sure how many coconuts there were Dave Fallschirmsport Marl Quote Share this post Link to post Share on other sites
waltappel 1 #87 August 5, 2005 maybe I'm misreading, but: Let V1 = speed of tortoise; Let V2 = Achillees speed Let t = elaspsed time Distance travelled by tortoise = 10m + V1t Distance travelled by Achilles = V2 t time to catchup ==> both distances are equal 10m + V1t = V2t Since V2 = 10V1 10m + V1t = 10V1t 10m/9V1 = t As V1 approaches zero, t approaches infinity. The faulty logic? Zeno needed to quit yapping, sober up, and apply simple Algebra. Walt Quote Share this post Link to post Share on other sites
SpeedRacer 1 #88 August 6, 2005 What if the tortoise bites Achilles on the heel? That was Achilles' one weak spot. Then Achilles couldn't walk. Speed Racer -------------------------------------------------- Quote Share this post Link to post Share on other sites
SpeedRacer 1 #89 August 6, 2005 re. the animal problem I was not able to reduce it to a mathematical formula, so if that is possible, I wish someone would explain it to me. Neverthelss by trial & error I got 5 cows, 1 pig, 94 hens. Total = 100 animals. 5 cows = $50, 1 pig = $3, 94 hens = $47. Total = $100 Speed Racer -------------------------------------------------- Quote Share this post Link to post Share on other sites
SpeedRacer 1 #90 August 6, 2005 Hey has anyone noticed that only the MEN are on this thread?? I wonder why that is. so I guess no one here will mind if I post the following: NSFW Speed Racer -------------------------------------------------- Quote Share this post Link to post Share on other sites
skiskyrock 0 #91 August 6, 2005 A variation on this problem: A chemist and a chemical engineer were imprisoned in Saudi Arabia for offending the local caliph. After ten years in solitary confinement, the Caliph order the two men brought to him in his harem. They are placed on a chalk line drawn on the floor of the harem chamber, and two stunningly beautiful naked women are placed at the other end of the chamber, 100 feet away. " I have a treat for the two of you!" the Caliph says. "Every time I clap my hands, you can advance half the distance between you and the women." He claps and the Chemical engineer runs 50 feet across the floor, while the chemist stand where he started. The caliph claps again and the Chem. E. runs forward twenty five feet, while the chemist just stands there. Exasperated the Chem. E. asks the chemist why he isn't running. "It's rigged" the chemist replies "the approach is asymptotic... you'll never get all th eway there." "True" replied the Chem. E. "but I can get close enough for practical purposes." " Quote Share this post Link to post Share on other sites
waltappel 1 #92 August 6, 2005 QuoteSo ..... You have $100, you must spend it all. You need to buy exactly 100 animals. You can't buy half an animal, but you buy at least one of each. On offer are Cows for $10 each Pigs for $3 each and Hens for 50 cents each. How many of each animal must you buy? Orders please.... Looks to me like there is no solution. Let Nc = number of cows Np = number of pigs Nh = number of hens Nc + Np + Nh = 100 10Nc + 3Np + .5Nh = 100 Therefore, Nc + Np + Nh = 10Nc + 3Np + .5Nh 0 = 9Nc + 2Np + .5Nh The only solution compatible with the conditons given is the trivial solution 0, which is NO solution. Walt Quote Share this post Link to post Share on other sites
SpeedRacer 1 #93 August 6, 2005 see my previous post. I figured it out, but I had the same problems as you trying to do it algebraicly. I just did it by sort of trial & error. Speed Racer -------------------------------------------------- Quote Share this post Link to post Share on other sites
RhondaLea 4 #94 August 6, 2005 QuoteHey has anyone noticed that only the MEN are on this thread?? What does that tell ya? Critical Thinking on the Web rlIf you don't know where you're going, you should know where you came from. Gullah Proverb Quote Share this post Link to post Share on other sites
waltappel 1 #95 August 6, 2005 Quotesee my previous post. I figured it out, but I had the same problems as you trying to do it algebraicly. I just did it by sort of trial & error. Yeah, I saw that after I posted and obviously there is a major flaw in my reasoning (which happens pretty often!). Walt Quote Share this post Link to post Share on other sites
speedy 0 #96 August 6, 2005 Yeah, but what about the monkey, pirates and coconuts? No one has answered that one yet Dave Fallschirmsport Marl Quote Share this post Link to post Share on other sites
kallend 2,027 #97 August 7, 2005 Quote obviously there is a major flaw in my reasoning (which happens pretty often!). Walt I'll have to remember that quote for Speakers' Corner.... The only sure way to survive a canopy collision is not to have one. Quote Share this post Link to post Share on other sites
waltappel 1 #98 August 7, 2005 QuoteQuote obviously there is a major flaw in my reasoning (which happens pretty often!). Walt I'll have to remember that quote for Speakers' Corner. Feel free. I always reserve the right to learn and change the error of my ways. Walt p.s. How many people in Speakers' Corner will admit to that?!!! Quote Share this post Link to post Share on other sites
SpeedRacer 1 #99 August 8, 2005 QuoteTherefore, Nc + Np + Nh = 10Nc + 3Np + .5Nh 0 = 9Nc + 2Np + .5Nh Here's where you went wrong. You're subtracting Nc +Np + Nh from the right side of the equation. The answer should read: 0 = 9Nc + 2Np - 0.5 Nh Speed Racer -------------------------------------------------- Quote Share this post Link to post Share on other sites
waltappel 1 #100 August 8, 2005 QuoteQuoteTherefore, Nc + Np + Nh = 10Nc + 3Np + .5Nh 0 = 9Nc + 2Np + .5Nh Here's where you went wrong. You're subtracting Nc +Np + Nh from the right side of the equation. The answer should read: 0 = 9Nc + 2Np - 0.5 Nh Duh!!!!! Walt Quote Share this post Link to post Share on other sites
