Finding the error in a proof that 1 equals 0

[Office_Shredder]

Earlier today, I proved 1=0!


Think about it... it kind of tickles the brain in a weird way

 

[quasar987]

Are you going to post how you did it? I'd like to see.

 

[chroot]

Are you going to post how you did it? I'd like to see.

The irony is about waist-high in this thread.

- Warren

 

[mattmns]

Yes, but can you prove that 2 + 2 $\neq$ 4!

 

[quasar987]

chroot,

I can't see it.

 

[Office_Shredder]

Are you going to post how you did it? I'd like to see.

I used a well-known, yet under-appreciated, definition.

mattmns, I'm working on it, but it may take a while.

But I have shown 2=2!

 

[quasar987]

I meant, are you going to post the details of the proof.

 

[Mickey]

Zero factorial?

 

[Dragonfall]

1=0! by definition.

But I have shown 2=2!

2=2! by definition too.

Like Mickey said, are you saying 'zero factorial' or are you screaming 'ZERO' at the top of your lungs?

 

[benorin]

The Bohr-Mollerup Theorem could be used to show that the gamma function is the unique analytic continuation of the factorial to the complex plane less the non-positive integers that is log-convex and assumes real values for real arguments... and show that $$\Gamma (1) = 0! =1$$, but that might be kinda lame...

 

[Office_Shredder]

Zero factorial?

We have a winner! (<--- that's an exclamation mark, not a factorial).

 

[Dragonfall]

It had been possible that an inconsistency in mathematics was discovered. How disappointing.

 

[Mickey]

Yay. Bring on the cute math babes.