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#1 2005-09-30 05:07:38

Zach
Member
Registered: 2005-03-23
Posts: 2,075

0 = 1

You know, I needed to post.

It's an addiction.

0! = 1.


Boy let me tell you what:
I bet you didn't know it, but I'm a fiddle player too.
And if you'd care to take a dare, I'll make a bet with you.

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#2 2005-09-30 08:20:10

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

Re: 0 = 1

0! was defined during the following conference between the world's finest mathematicans:
cmm6zf2.gif

Seriously though, the best argument for this is that 3! = 3 x 2!, 2! = 2 x 1!, so 1! = 1 x 0!, meaning 1=1 x 0!, meaning 0! = 1.

Last edited by mathsyperson (2005-11-22 04:08:26)


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

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#3 2005-09-30 09:59:30

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

Re: 0 = 1

3! = 3 x 2!, 2! = 2 x 1!, so 1! = 1 x 0!, so 0! = 0 x (-1)! ????

Negative factorials are undefined, but then some of the greatest advances in math have occurred when people have thought, "yes, but what if it was possible?" ... for example imaginary numbers, and fractals (fractional dimensions).


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

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#4 2005-10-01 01:46:47

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

Re: 0 = 1

If 0! = 0 x (-1)!, then (-1)! would be 0! / 0, which is indeed undefined. The pattern still works!


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

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#5 2005-10-05 00:50:39

wcy
Member
Registered: 2005-08-04
Posts: 117

Re: 0 = 1

it is essential that 0!=1 in combinatorics, otherwise a lot of things won't work

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#6 2005-11-22 00:08:35

martian
Member
Registered: 2005-11-21
Posts: 14

Re: 0 = 1

0 = 1

big_smile

and I can prove it and thus destroy mathematics for eternity ..... mauh hah ha ha ha ha

watch little kiddies as your perfect maths fails horribly

1 = -1 x -1              (I think we get that)
√1  = √(-1 x -1)      (square root both sides)
      = √(-1) x √(-1)  (square root distribution rule)
      = i x i                ("  http://www.google.com.au/search?q=square+root+of+-1  ")
      = -1                  ("  http://www.google.com.au/search?q=i+multiplied+by+i  ")
  1  = -1                  (√1 = 1)
1+1= -1 + 1
   2 = 0
2/2 = 0/2
   1 = 0

and there you have it!!! MATH IS DESTROYED MAUH HA HA HA H AH

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#7 2005-11-22 04:10:33

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

Re: 0 = 1

Very good. I think the flaw is something to do with square roots needing a ± stuck to them, but still, it's a nice 'proof'.

Last edited by mathsyperson (2005-11-22 04:10:46)


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

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#8 2005-11-22 10:12:09

martian
Member
Registered: 2005-11-21
Posts: 14

Re: 0 = 1

Yes, I am indeed. lol tongue

Well done. heheh

I did know that my (deliberate) error is the (square root distribution rule) line.

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#9 2005-12-04 03:39:54

Roraborealis
Member
Registered: 2005-03-17
Posts: 1,594

Re: 0 = 1

Oh, wow! That is so cool.


School is practice for the future. Practice makes perfect. But - nobody's perfect, so why practice?

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