If you pick up a spoonful of rather thick honey and turn it upside down, it takes several seconds before it starts to fall, but then it falls quickly. In my talk I shall demonstrate this phenomenon, and show a video of a computer simulation, using a finite element program. Everyone studying mathematics to Year 12 level learns about exponential growth. Whenever a rate of increase in the size of something is proportional to its present size, the growth is exponential. The size increases for ever as time increases forever.
Growth can be much more rapid than exponential.
For example, if the rate of increase is proportional to the square of the present size, the size explodes at a finite time. This is easy to show using Year 12 calculus. There is a finite point of time, which can be predicted from the size of the spoonful and the viscosity of the honey, at which this length suddenly increases. You don't have to wait an infinite amount of time to get the honey onto your toast.