From: Nam Nguyen on
Nam Nguyen wrote:
> Rupert wrote:
>>
>> I thought you agreed that "numeral" was a syntactical notion. You have
>> some kind of issue with me quantifying over all the numerals, do you?
>>
>
> Let's define this formula:
>
> (1) Ax[even(x) \/ odd{x}]
>
> Can do the "quantifying over all the numerals" in a finite formula as (1)?

I meant: Can *you* do the "quantifying over all the numerals" in a finite formula
as (1)?
>
> Yes, I do have an issue with you saying "quantifying over all the numerals"
> is a _syntactical notion_: you don't know what you're talking about!