The development of a Post-2015 agenda and Sustainable Development Goals, SDGs, provide a global window of opportunity to address both social needs and environmental challenges together. This discussion paper by the Stockholm Resilience Centre looks into the links between human wellbeing and the biosphere, and describes why and how these links should influence the formulation of the new SDGs. It explores what we can learn from the MDGs, and how existing international agreements can be reflected in the Post-2015 MDG process. The paper also seeks to contribute to the elaboration of targets, including process-oriented targets and scalable indicators suitable for a rapidly changing world.