Resilience broadly describes the capacity of a system to absorb or recover from a shock. The concept is highly relevant in the Earth system, in particular under unprecedented anthropogenic pressures and even more so when taking the whole human-Earth system and its internal feedback interactions into account. Recent efforts to formalize resilience face the challenge of handling an open, complex, non-linear and externally driven system with many compartments, leading to a need to include uncertainty. This talk will give an overview about resilience and what it could mean in the context of the (human-)Earth system, presenting and discussing possible indicators and how to include aleatoric and epistemic uncertainties in this effort. Such indicators could be used to reflect on Earth system stability and thus point out management opportunities and where societal capacities to adapt in the face of change need to be increased.