In this paper I argue that engaging with bioart mobilises philosophical inventiveness: it contributes to the creation of concepts that attend to the problem of life and work through the binary of the living/non-living, organic/inorganic, and human/nonhuman. More specifically, I propose here the concept of uncontainable life, which refers to dynamic, non-teleological, multiplicitous forces and processes of transformation, and intensities that are constitutive of matter and always carry the potential for surplus. These excessive material forces that are exposed in the analysed bioartworks, traverse the divide between the living and non-living, organic and inorganic, human and nonhuman, growth and decay, and life and death, as they are traditionally comprehended. In other words, uncontainable life can be described by three factors: 1) the processual enmeshment of living and non-living, organic and inorganic, and life and death, that I call the non/living; 2) life’s multiplicitous character: life expresses itself in assemblages of components and forces that are modulated through their connections and interactions with each other; and 3) the potential for excess, carried by forces of the non/living that enable them to surpass prescribed material and conceptual boundaries.