Formulating Emergence

Emergence is intuitively characterized as dependent novelty. Yet, besides this intuition, several formulations of it were elaborated in the last decades. In this article, after having distinguished between two different varieties of emergence (a weak and a strong one), I aim at providing two formulation schemes for emergence. This could help to explain what emergence is and to clarify and unify the suggested formulations. The general idea behind my schemes is that emergence is partial and qualified dependence of the emergent entities on their emergence bases. After having examined several formulations of emergences and presented my schemes, I shall analyse two interesting consequences of the acceptance of the latter: the in principle compatibility between weak and strong emergence and the idea that micro-physicalism, i.e., the main competitor of emergentism, may actually come in different degrees of strength, more or less in contrast with emergentism. Eventually, I shall briefly compare my formulation schemes with some other relevantly similar proposals.