Re: Cantor Confusion

Michael Press wrote:
In article <MPG.201731bcec6d9f73989b5c@xxxxxxxxxxxx>,
David Marcus <DavidMarcus@xxxxxxxxxxxxxx> wrote:

Ah, you are at least a hundred years behind the times. No, a function is
most definitely not a formula. A function is a rule which assigns, to
each of certain real numbers, some other real number. For example, the
rule that assigns to each number a the number 0 if a is irrational and
the number 1 if a is rational is a function, but you will have a hard
time coming up with a formula (nor is a formula required).

Hello. I agree. At least one-hundred-fifty years.
Is this a formula?

lim_{m -> oo} lim_{n -> oo} [cos (m! * x * pi)]^{2 * n}

These days or in Euler's day?

Notice I said a "hard time". I didn't say it was impossible.

--
David Marcus
.