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Thread ID: 42853 2004-02-24 23:37:00 OT: What is the length of a piece of string? Billy T (70) PC World Chat
Post ID Timestamp Content User
217925 2004-02-24 23:37:00 Hi Team

To celebrate reaching 2500 posts, I have decided to post a serious question that has haunted deep thinkers and theologians for generations.:p

There is an answer of course, or there would be no point in posing the question, so go to it.

This is not an entirely pointless post, as the answer is very precise and once known you can then use it to win free drinks in pubs etc. by betting that you can give the answer to the perennial question. Either that or get your head knocked off when you actually tell them the answer and they realise you are right.

Cheers

Billy 8-{) :D
Must......get.....a......life! Too......much
time.........spent.........on........PF1. :|
Billy T (70)
217926 2004-02-24 23:45:00 The simplest approximation is 1 foot/nanosecond. If the string is wet, the dielectric constant of water has a significant effect. Graham L (2)
217927 2004-02-24 23:53:00 Twice the distance from the midpoint to either end... TonyF (246)
217928 2004-02-25 00:01:00 <geeky>
Where can I download myself a copy of this "string"... String of what? Binary?
</geeky>

;-)


Chill.
Chilling_Silently (228)
217929 2004-02-25 00:18:00 Graham, Tony and Chill... gotta love your responses! :^O

Anyway, courtesy of Google's "define" I give you my answer:

Take a piece of string, and cut it in half. You now have two pieces of string, each half the length of the original. Now, cut one of the halves in half again. Cut one of the remainders into half, and this again, etc. The fact is, that no matter how many times you cut the string into half, you will never achieve a state where the length of the segment reaches zero.

So, eventually, you will have cut the string in half an infinite number of times, and hence you will have an infinite number of pieces of string which will all have a length above zero.

Obviously, any value above zero multiplied by infinity equals infinity, and hence through logical deduction we have proved that any piece of string is infinitely long.
Greg S (201)
217930 2004-02-25 00:35:00 Unfortunately, that definition is faulty .

it's just "n*(length/n)" . . . which is equal to length whatever value n has .

Infinity is not that magic . Infinite series tend not to tend towards "infinity" . :D There's almost always a limit .
Graham L (2)
217931 2004-02-25 00:39:00 > There's almost always a limit.

My damned maths lecturer used to say that too, but I haveta disagree - by definition of the word itself there is no limit
Greg S (201)
217932 2004-02-25 00:50:00 Your saintly maths teacher is right.;-) If you divide by a number and then multiply by it,you end up with the original value. (Of course, that's mathematicaly, not computationaly --- numerical methods are very important when you want to get correct answers from computers)

An infinite number of infinitesimals doesn't add up to infinity. You made the infinitesimal using the "same" infinity you are using to multiply by.
Graham L (2)
217933 2004-02-25 01:03:00 I reckon TonyF has got it, twice as long as half it :D

Course you could cut it into thirds.
mark c (247)
217934 2004-02-25 01:16:00 >by definition of the word itself there is no limit

I'm in beyond my depth here, but all I was doing was trying to define the word. According to Oxford:

infinite /'infinit/ adj. & n. 1 boundless, endless

Anyway, I'm ok with my BBCode skills :D
Greg S (201)
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