17266
General Discussion / Re: CERN has accidentally the everything.
« on: February 25, 2012, 07:47:41 pm »
Imaginary number CAN have "a NOT zero". "5 + 3i" is an imaginary number. It's nonsense to say a must equal zero for an imaginary number.
I wrote :-
It doesn't make a difference what "a" is, "a" is assumed to be a scalar factor, however.
You wrote:
"Anyway "5" is a fully Real number, or a Complex number that just happens to have a zero Imaginary component. But it isn't Imaginary."
^ isn't this exactly what i said, a=5, b=0 hence not imaginary. So how does that conflict with what i wrote, which was :-
Where i'm clearly making a distinction between "5" as a conceivable amount (real) and "5i" as a non-conceivable amount (imaginary).
I wrote :-
Numbers are called "imaginary" when b is not = 0
It doesn't make a difference what "a" is, "a" is assumed to be a scalar factor, however.
You wrote:
"Anyway "5" is a fully Real number, or a Complex number that just happens to have a zero Imaginary component. But it isn't Imaginary."
^ isn't this exactly what i said, a=5, b=0 hence not imaginary. So how does that conflict with what i wrote, which was :-
That's because you can conceive of 5 apples, even -5 apples (a debt in apples), or 1.5 apples (1 and half apples).
You cannot conceive of an amount of apples "five times square root of negative 1".
Where i'm clearly making a distinction between "5" as a conceivable amount (real) and "5i" as a non-conceivable amount (imaginary).