 There are some reasons to be suspicious of the Martin-Löf-Chaitin Thesis, despite the mathematically elegant convergence between these two mathematical notions. For one, there is quite a bit of intuitive support for accounts of randomness which do not make it primarily a property of sequences, and those other accounts are no less able to be made mathematically rigorous (see especially the ‘epistemic’ theories of randomness discussed in §6.2, as well as theories of randomness as indeterminism discussed in §7.2). The existence of other intuitive notions makes the case of randomness rather unlike the supposedly analogous case of Church’s Thesis, where no robust alternative characterisation of effective computability is available. 