Enactivism has had an important conceptual influence on Artificial Life. Its notorious mind-life continuity thesis is a fundamental idea that once sustained much of the theoretical framework, but has recently lost support, explicitly in cognitive science, and by omission in Artificial Life. Alternative computational accounts, however, do not seem capable of filling the vacuum it leaves behind, given that according to the Church-Turing thesis, the limit of what is computable is bounded by Turing machines (regardless of the specific instantiation, such as cellular automata, deep, spiking or any other form of neural networks, or even quantum computers, to name some well known cases) and that computable functions formally describe the notion of mechanism, every organismic process that determines a consistent response should be both limited to Turing-machine capabilities and amenable to formalization. This impending issue, namely, the relation among life, cognition and computation as the hypothetical elements of the mind, is particularly pertinent and highly relevant for Artificial Life. Moreover, although it is often overlooked or omitted for practical reasons, it will probably define, or so we argue, the direction of future research in cognitive science, artificial intelligence and related fields.