Title: From Möbius inversion to renormalisation Abstract: I will explain how some of the main abstract features of Hopf-algebraic perturbative renormalisation, notably Bogoliubov's recursion and the Atkinson formula, can be understood as direct generalisation of corresponding features of classical Möbius inversion, namely the Weisner- Rota and Hall-Leroux formulae for the Möbius function. (No prior knowledge of renormalisation or Möbius inversion is assumed from the audience.)