kouriichi said:
SakSak said:
What is the difference between a symbolic representation of a value and a placeholder for a value? I argue there isn't one. Both are definitions of numbers, with the value of the placeholder or symbol assigned denoting which number.
such as i, an irrational value
such as lim (x->0) x, an unmeasurably small value
such as Pi, a conceptual-only, abstract value
such as -1, negation of value (not removal, negation)
all are numbers, placeholders for value. If you agree, then what possible basis do you have for rejecting 0 as a placeholder for zero value?
ugh. Your arguing about something completely differnt then what i am. Im not talking about binary code.
This debate is about just the number 0.
Nothing to do with computers, nothing with irrational numbers.
Just 0 itself.
Do you think 0 itself is a number?
Now why do you think this?
Why do you erraneously think that you can separate 0, a fundamental aspect of mathematics, from... well, mathematics?
Any discussion of numebers, is a discussion of mathematics.
Red Herring noted. Evasion noted.
I think zero is a number, because it is a placeholder for value. I think zero is a number, because it is
number
n noun
1 an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity.
2 a quantity or amount.
Now, do you accept i, -1, lim (x->0) x and Pi as numbers? If yes, why do you think zero is not a number?