- #1
Robokapp
- 218
- 0
okay...I love math and i enjoy math a lot, mainly for its perfection and the aspect of not contradicting itself. But lately i have been runnig into contradictions and things that should not exist...and they piss me off.
The worst of them is solving 0!
0!=1
why? i asked my math teacher and he worte the following (which indeed makes sense)
5!=5*4*3*2*1 or 5!=5*4!
so 4!=4*3!
3!=3*2!
2!=2*1!
1!=1*0!
but this is where it lost me. 1! should simply be 1, not 1*0! maybe I'm worng. aniway, let's take a look at 0!
0!= all the natural numbers larger than zero (5! = 5*4*3*2*1...all of them larger than zero) but also no bigger than zero. (5*4*3*2*1 has no 6 in it.)
So...let's see...0!=0*Whatever is larger than zero and smaller (or equal) than zero at the same time.
so 0!=0*all natural numbers that belong to (0,0]. that makes the smallest allowed value bigger than the largest. I can't picture a REAL such a number. Let's call the whatever number W. So...0!=0*W
Not only we have a number in that bizarre scenario with a min > max, but it is also multiplied with zero. LAst time i multiplied something by zero it did not turn out to equal one.
so...any good reason why 0!=1?
please...have mercy, I'm only in calc 1. no crazy explanations that i can't even begin to understand.
Thank you.
~Robokapp
The worst of them is solving 0!
0!=1
why? i asked my math teacher and he worte the following (which indeed makes sense)
5!=5*4*3*2*1 or 5!=5*4!
so 4!=4*3!
3!=3*2!
2!=2*1!
1!=1*0!
but this is where it lost me. 1! should simply be 1, not 1*0! maybe I'm worng. aniway, let's take a look at 0!
0!= all the natural numbers larger than zero (5! = 5*4*3*2*1...all of them larger than zero) but also no bigger than zero. (5*4*3*2*1 has no 6 in it.)
So...let's see...0!=0*Whatever is larger than zero and smaller (or equal) than zero at the same time.
so 0!=0*all natural numbers that belong to (0,0]. that makes the smallest allowed value bigger than the largest. I can't picture a REAL such a number. Let's call the whatever number W. So...0!=0*W
Not only we have a number in that bizarre scenario with a min > max, but it is also multiplied with zero. LAst time i multiplied something by zero it did not turn out to equal one.
so...any good reason why 0!=1?
please...have mercy, I'm only in calc 1. no crazy explanations that i can't even begin to understand.
Thank you.
~Robokapp