That was an exact answer I was looking for. I thought along those
lines, But not sure whether its right Thanks
On Jun 13, 5:44 am, ross wrote:
> @howtechstuffworks:
>
> Your question seems to be - why 'k+1' and not 'k+2' or 'k+3' or
> something else.
> The simple reason is that,
>
> Given
@howtechstuffworks:
Your question seems to be - why 'k+1' and not 'k+2' or 'k+3' or
something else.
The simple reason is that,
Given that P('k') and P('k+1') is true, we can extend it for ANY value
of k.
(ie) k+2 , can be derived from 'k+1' by substituting k=k+1.
similarly k+3 can be derive
Thanks, Gene. That was an very thoughtful example. I have one more
doubt like, what we are trying to prove here. That the example will
work for all numbers(all natural numbers, not only for an multiple of
two or three or some number) or this example will work for all
possible(infinite) numbers.
Re
Suppose you want to prove that you can climb all the way to the top of a
ladder. One way to do this is in two parts: First prove you can stand on
the bottom step. Call this step 1 and number the rest of the steps 2,3,..N
upward to the top of the ladder.
The second part is to prove that if y
