Zero has NO size and NO value, It's simply a convenient construct, a concept, not something that has physical nor mathematical attributes.
I'd have to say that's about right.
Why the "except x=0"?'s another identity: 0x = 0 for all x except x=0.
Oh, what have I missed? Reiku is banned?
At the risk of playing into Mr. Bannans hands..
0[sup]0[/sup] = 1
Only for a day.
I thought for a year Just kidding, Reiku. Sometimes it is funny to read your post
Funny? Only to people who enjoy watching someone make a fool of himself - or a masochist who likes the pain of reading big lists of nonsense.
''Zero isn't an infinitesimally small number. It is zero. Thinking of it as an infinitesimally small number is giving it "size" which it does not have.''
$$1=(0.50i)(0.50i)= \sqrt{-1}$$
Here, 0.50 can be considered a value under 1, and yet also considered as not actually being real at all. So in a sense, this superposition is a proof that zero has some kind of value with another conjugate.
Where else you can see something like this:
Reiku, you should put plus (+) in between:
$$(0.50i)+(0.50i)= \sqrt{-1}$$
Where else you can see something like this:
Reiku, you should put plus (+) in between:
$$(0.50i)+(0.50i)= \sqrt{-1}$$
At the risk of playing into Mr. Bannans hands..
0[sup]0[/sup] = 1
No, an infinitesimally small number is a number whose absolute value is less than any positive number. Zero is the only such number.
John Bannan:
No, they aren't.
It's not clear to me in what sense you are using the term "size" now. It sounds like you're thinking of numbers as intervals, as if the number 1, for example, "stretched" from 0.999 to 1.111 or something. Think of a number line. Are you saying that individual numbers on the line take up some fraction of the line? If so, then that is wrong. Numbers are points on the line. The number 1 has no extension - it is a point of zero width on the number line.
Does that help?
Addition is not defined with reference to "sizes". As I said before, it is an arithmetical identity that x + 0 = x for all x. Therefore 0 + 0 = 0.
Here's another identity: 0x = 0 for all x except x=0. Therefore 2 times zero is zero, for example. So, 2 zeros is the same as 1 zero - it has the value zero.
Zero isn't an infinitesimally small number. It is zero. Thinking of it as an infinitesimally small number is giving it "size" which it does not have.