At present zero is not well defined.
If it is defined as reciprocal of infinity, then Zero will have more than one value since infinity has more than one value.
Hence 5 x 0 has different value from 5000 x 0.
That is the reason we can not equate them.
Further 0 divided by 0 is not defined because it is not a finite no.

Pls comment.
P.J.LAKHAPATE
plakhapate AT rediffmail DOT com

At present zero is not well defined.

Zero is an integer half way between -1 and 1.

How's that?

If it is defined as reciprocal of infinity, then Zero will have more than one value since infinity has more than one value.

Looks like the infinity definition is not a good one, then.

Further 0 divided by 0 is not defined because it is not a finite no.

No. It's just not defined. You can't say that something which isn't defined is finite or not finite.

In a more formal fashion, zero is the identity element for addition, just as one is the identity element for multiplication.

N + Zero = N
N * One = N

Zero is an integer half way between -1 and 1.

How's that? Jolly fucking splendid in a world in which things are only measured in integers. :rolleyes: I guess this only applies to "counts" I count 5 apples in my basket...

No. It's just not defined. You can't say that something which isn't defined is finite or not finite.
0 / 0 is just as undefined as 0 * Infinitity - Agreed.