Oh actually you’re right. I didn’t interpret the op correctly. I thought it was just some weird extension of Knuth’s up arrow notation but now I see what’s going on.
In that sense, (2) isn’t a real number, as infinity isn’t a real number, it’s an extended real number.
And I think you’re right again, ((2)) isn’t well defined I don’t think.
Oh actually you’re right. I didn’t interpret the op correctly. I thought it was just some weird extension of Knuth’s up arrow notation but now I see what’s going on.
In that sense, (2) isn’t a real number, as infinity isn’t a real number, it’s an extended real number.
And I think you’re right again, ((2)) isn’t well defined I don’t think.
Count me wrong. You understood correctly the first time. See Vladimir’s comment; the notation is confusing, but it is a finite process.