Thursday, September 5, 2013

on 2 comments

Zeno’s Paradox…...The proof that you will never believe

                                           Zeno’s Paradox

Zeno paradox says that one can and have never reached its destination ever in this world, mathematically. The prove is given..I challenge you to prove it wrong.........


What will you say if I say, I can prove that you can never reach and have never reached your destiny marked? Think I am mad?? THAT will lonely make me more confident. To be clear, If you say that you want to go 1km away and after traveling exactly 1km you have reached your destination, then you are wrong. Want prove…..????
Suppose you want to travel a distance of 1 km and you take 1 hour to complete you journey…then……in half the time you will reach half the distance. That was simple, that means that you will have traveled ½ of the complete distance. Now again after half the time you traveled ¼, then 1/8, then 1/16 then 1/32 and so on……
This will continue, like first 1000meters then 500 then 250…125…..62.5……..it will continue in fraction like   fraction always persists. This phenomenon is better understood if you know the concepts of limits of class 11th and 12th, it tells us that the small fraction will always tend to be zero but will never be zero because of the fractional value, and the below number cannot be zero also as it will become “not defined”. Hence proved that mathematically one never reaches a destiny set if we go by distance measurement, and keep on dividing the distance by 2 when we have covered the half the distance. This is known as the Xeno’s paradox.

1/10000000……………… and will never end cause hence there will always be some distance left for you to move for, and will be completed mathematically because a very very small
Xeno was a mathematician and he discovered this simple problem which later on turned into a big paradox. The year was around 54 A.D., after discovering this he discovered another simple problem which is another big paradox. I am not going to open that paradox, but will surely hint you…

Have you heard the story of the race between the turtle and the rabbit? The turtle won instead of being       
slower because the rabbit slept. But what will you say if the rabbit never slept and they turtle had the same speed only one thing changed that he started 1m ahead of the rabbit, and the race was of 1km or 1000meters. You will immediately say that the rabbit will race away the turtle and reach hours before the turtle. But my friends that not true, and mathematically the turtle will win the race and will always be ahead of the rabbit by some very very small fraction as above paradox proved. The same principle is applied here also, but I am not going to prove that for you, and let you use your mind and amuse your friends and girlfriends or boyfriends with this PARADOX…………








2 comments:

  1. Excellent find Jay.... got the food for thought for the day !!!...

    ReplyDelete

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