This chapter looks at the question of whether there exists a hierarchy in the sources of international law and argues that there is none. Afterwards, we will turn our focus towards whether our issue is in fact a question of a conflict of laws. Lastly, the chapter will then assess the viability of utilising the norms of general international law to address damages arising from the use of AI in space activities. In this regard, the author will look at the responsibility of States, as well as the liability of States for injurious consequences not prohibited by law to find and propose a suitable solution within the norms of public international law.