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#1 2007-05-21 16:11:27

Big Mac
Member
Registered: 2007-05-19
Posts: 20

Optimist or Pessimist?

Hi Everyone, can anyone explain this little maths curiosity?

Is the glass half empty or half full?

Let E = Empty and F = Full

Therefore 0.5E = 0.5F

Multiplying by 2 to get E = F

Surely this is not possible????  lol - open for discussion.

By the way, if anyone has anymore "goodies" then I would be more than interested. Cheers.


I think, therefore I am.

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#2 2007-05-21 17:11:54

Ricky
Moderator
Registered: 2005-12-04
Posts: 3,791

Re: Optimist or Pessimist?

Every time someone uses metamathematics, reaches a contradiction, and is surprised, a puppy dies.

roflol


"In the real world, this would be a problem.  But in mathematics, we can just define a place where this problem doesn't exist.  So we'll go ahead and do that now..."

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#3 2007-05-21 18:33:59

MathsIsFun
Administrator
Registered: 2005-01-21
Posts: 7,711

Re: Optimist or Pessimist?

No, save the puppies!

0.5E ? Can you have half an empty?


"The physicists defer only to mathematicians, and the mathematicians defer only to God ..."  - Leon M. Lederman

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#4 2007-05-22 02:38:07

mikau
Member
Registered: 2005-08-22
Posts: 1,504

Re: Optimist or Pessimist?

why does it have to be or? Can't a glass be half empty AND half full?


A logarithm is just a misspelled algorithm.

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#5 2007-05-22 03:16:34

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Optimist or Pessimist?

Hmm if the glass is half empty and half full is it 0.5E * 0.5F = 0.25EF???

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#6 2007-05-22 03:18:52

mathsyperson
Moderator
Registered: 2005-06-22
Posts: 4,900

Re: Optimist or Pessimist?

What's empty * full?


Why did the vector cross the road?
It wanted to be normal.

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#7 2007-05-22 03:34:49

Identity
Member
Registered: 2007-04-18
Posts: 934

Re: Optimist or Pessimist?

Well... nothing, unless you say empty = 0, which means that 0.5E * 0.5F = 0 big_smile ?

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#8 2007-05-22 17:09:14

Big Mac
Member
Registered: 2007-05-19
Posts: 20

Re: Optimist or Pessimist?

Lol - cheers folks - some great replies.
mikau and Identity - Being independent, it probability is! - exhaustive though eh?


I think, therefore I am.

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#9 2007-05-23 04:40:09

Kurre
Member
Registered: 2006-07-18
Posts: 280

Re: Optimist or Pessimist?

well actually its true that E=F since in both cases the "values" are the same but E is filled with air, and F is filled with a liquid smile

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#10 2007-05-26 14:11:14

landof+
Member
Registered: 2007-03-24
Posts: 131

Re: Optimist or Pessimist?

Or a common contradiction: e is enough and f is finish!


I shall be on leave until I say so...

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