Not sure if this question should be here, or on math.se.
That said, let me proceed:
On the Wikipedia page for the Ackermann function, it is mentioned that by passing the inputs of 0, 1 and 2 to the third parameter one could perform the three fundamental operations of addition, multiplication and exponentiation, respectively, on the other two parameters.
That is, addition, multiplication and exponentiation are the three fundamental operations.
But multiplication is merely repeated addition, and exponentiation repeated multiplication. So addition is the fundamental operation?
My question is this:
Does there exist an algorithm to convert any sequence of (computable) mathematical operations, into another sequence of computable operations involving only addition.