We critically discuss Cleland's analysis of effective procedures as ‘mundane effective procedures’. She argues that Turing machines cannot carry out mundane procedures, since Turing machines are abstract entities and therefore cannot generate the causal processes that are generated by mundane procedures. We argue that if Turing machines cannot enter the physical world, then it is hard to see how Cleland's “mundane procedures” can enter the world of numbers. Hence her arguments against versions of the Church-Turing thesis for number theoretic functions miss the mark.
['Leon Horsten', 'Herman Roelants']
The Church-Turing Thesis and Effective Mundane Procedures*