kouriichi said:
SakSak said:
kouriichi said:
SakSak said:
kouriichi said:
So your saying im wrong for calling 1 a number, when you litterally just said "Therefore, 1 can be a placeholder, while simultaneously being a number"
To put this in perspective, you are asking me "Is this furniture, or made of wood?"
not realizing that the categories can and often do overlap.
but is a rectangle a square? or is a square a rectangle?
They dont always over laps.
Some things have 2 rules. And like 0 and 1, there are many rules.
And you've failed to show that this applies to categories 'placeholder' and 'number'.
YOu agreed with this just now, "some placeholders can be numbers".
So you've refuted yourself.
Now, unfortunetaly, I'll have to leave for a weekend vacation. I can get back to you on sunday.
If you have further arguments by then, I'll check them out.
ok. have a nice time. Give the Mr/Mrs/Closest living family member going with you my best.
And yes, some can, but 0 isnt one of them~
Just doing a quickie here.
So, we agree that some numbers can be placeholders: symbols that are replaced later by strings.
We agree number 1 is one of these.
Do you agree -1 is one of these?
Do you agree Pi is one of these?
I argue they are.
In fact, I'm prepared to argue any number is. But this was and is about zero, so I'll focus on that.
Now, convince me, what makes zero so special that unlike other numbers, it cannot be both a placeholder and a number.
Remember, so far, to formalize this just a tad
property (a) = is a number
property (b) = is a placeholder
Since we have symbols like 1, for which both (a) and (b) apply, you cannot simply declare that for zero "(b) applies, thus (a) does not".
Or to put it in another way: You have not established (a) and (b) as mutually exclusive, and you agree that there is at least one case where they explicitly are not exclusive: number 1.
Thus, generally, they cannot be mutually exclusive.
We both agree that for zero, (b) applies.
So, suggested next step for you:
Establish that specifically for zero, these properties are mutually exclusive.
Oh, and thanks for the well wishes.