Research in computer science and computer engineering includes several branches dedicated to the environmental impacts of ICT. Green-ICT consists in improving the performances of ICT itself (software, hardware, communication infrastruture) in order to reduce its impacts; Green-by-ICT promises to reduce the impacts of other sectors thanks to ICT. In this talk we will argue that this is not sufficient. Green-ICT optimizations are often (if not always) synonymous of massive rebound effects. Green-by-ICT is nothing more than a promise, at least until now. Moreover there are intrinsic anti-limits in the design principles that make it difficult, if not impossible, to stay within planetary limits. We should start studying other, less techno-optimistic, scenarios. A somewhat extreme hypothesis is that manufacturing new hardware will stop at some point in the future. We should therefore study the “fading-ICT” scenario, using the abundant ICT resources of today to prepare a future of scarcity.