Questioning the world's deterministic behaviour, I shall present an example which seems to defy any certainty about the recurrence of events and is (obviously) a result of faulty logic, but I would like to know why.
Suppose we conduct an experiment of a free falling object which we consider to be a dimensionless point dropped from a given height h.
According to Hume's problem of induction we don't know for sure that the object will fall to the ground only because it has done so every time we repeated the same experiment in the past.
So, some possible outcomes would be: A1 = falling on the ground, A2 = stopping at h/2 and then float there, A3 = stopping at h/4, A4 = stopping at h/8, and so on dividing the height by 2 repeatedly since all these outcomes are not logically impossible.
Since the possible outcomes of the experiment are countably infinite, the probability of getting A1, which we would consider as the event most likely to happen, is actually zero.
What's wrong about this example?