Are all systems deterministic? At first sight is seems easy to find non-deterministic ones. Take for example a dice. When you throw it, its future state seems open to several possible states.
Or consider the time take by an driver to complete its daily commute. Let's take the whole city, its vehicules, pedestrians, traffic lights and so on as a closed system and ask ourselves: is its position in, say, half an hour, determined by the current state of the traffic?
An imperceptible change in the angle of your hand may cause a completely different result. Just a different reaction of just one driver in front of an amber light may provoke a cascade of consecuences that results in a two minutes or maybe a two hours delay in the journey of another driver.
A system whose future state is greatly affected by minuscule changes in its current state is called a chaotic system. That explains why it is very difficult to predict the result of a dice roll and why people get sometimes late to their jobs.
But now we are not interested in our knowledge of reality but in how reality behaves. Is the dice future state not determined by its current state? Is the state of the traffic one minute from now not determined by its current state? If they are not determined by the states of their parts, then what could possibly determine their future states?
No, chaotic systems, although very difficult or even impossible to predict, are deterministic systems. A very, very detailed description of their current states plus a sufficiently precise knowledge of the causal links among its elements could in principle let us predict their future.
The advance of sciences has discovered that apparently indeterminate systems are in fact determinate. Maybe in the future we will be able to accurately predict the roll of a dice, the traffic in a city or the Earth's weather. Or maybe not, and we will have to accept that all we will ever have are approximate predictions. But whatever our knowledge, that does not change the fact that these are deterministic systems: their current state determines (is followed by) a single future state.