You can regard multiplication as repeated additions, exponentiation as repeated multiplications, tetration as repeated exponentiation and so on. Of course they

You can regard multiplication as repeated additions, exponentiation as repeated multiplications, tetration as repeated exponentiation and so on. Of course they are not just repeated operations; you've got to define them for negative, fractional and complex operands in a justifiable way as well. Note that those operations also form a sequence, so let's rename addition to 1-ation, ..., tetration to 4-ation (in fact tetra- prefix exactly means this) and so on. Now, what could be 2.5-ation or pi-ation?