Are Turing's "m configurations" the same as "media" in their original definition of "computable"?
In the first line of Turing's article "On computable numbers …", define a "computable" number as follows:
A real number "for which the decimal representation can be calculated by finite means".
My question is; Are they "means" to which only the number of configurations m that you define shortly after the first line of your article actually refers?
It seems that the "media" you are mentioning are the real m configurations, and I am trying to understand the difference between these and how the "steps", the "m configurations" and the "calculations" are related.
As I understand it, it works like this;
A real number R is computable <=> There is a "machine" with a finite number of "m configurations" that can be used to print the decimal representation of R, even if the actual number of numbers printed on the "tape" to represent the decimal value is not finite.
– Therefore, the "means" are the number of configurations m, and if R is computable, the machine can still perform an infinite number of actions to calculate the decimal representation of R, provided there is only a finite number of configurations m that produce the (infinite number) of actions.