Inverter-Based Resources (IBR) possess dynamics which are significantly different to those of synchronousgenerator-based sources and as IBR penetrations grow the dynamics of power systems are changing. The paper discusses the characteristics of the new dynamics and examines how they can be accommodated into the long-standing categorisations of power system stability in terms of angle, frequency and voltage stability. It is argued that inverters are causing the frequency range over which angle, frequency and voltage dynamics act to extend such that the previously partitioned categories are now coupled and further coupled to new electromagnetic modes. While grid-forming (GFM) inverters share many characteristics with generators, grid-following (GFL) inverters are different. This is explored in terms of similarities and differences in synchronisation, inertia and voltage control. The concept of duality is used to unify the synchronisation principles of GFM and GFL inverters, and thus is established the generalised angle dynamics. This enables analytical study of GFM-GFL interaction which is particularly important to guide the placement of GFM apparatuses and is even more important if GFM inverters are allowed to fallback to GFL mode during faults to avoid over-sizing to support short-term overload. Both GFL and GFM inverters contribute to voltage strength but with marked differences, which implies new features of voltage stability. Several directions for further research are identified including (i) extensions of nonlinear stability analysis to accommodate new inverter behaviours with cross-coupled time-frames. (ii) establishment of spatialtemporal indices of system strength and stability margin to guide the provision of new stability services and (iii) datadriven approaches to combat increased system complexity and confidentiality of inverter models.