It will make more sense to me after I've watched it another twice, if I get round to doing that. The problem, slight though it is, is that there could be a deterministic mechanism which gives the appearance that determinism has been disproven through polarisation experiments.
The scientific conclusion is that for the particles to conspire to reproduce the statistics (rather than behaving independently in absolutely any way), it would be necessary for the particle pair to communicate with each other at faster than the speed of light. While the particle pair possesses non-local quantum information, this information does not determine the results of observations, merely the statistics of those observations, a crucial difference - the one between determinism and the real world.
This conclusion is achieved by choosing the direction of the measurements at each location in a way that is unknown at the other at the time of measurements.
Einstein's initial position was that the result predicted by quantum mechanics was so absurd that an experiment would prove quantum mechanics wrong.

We have plenty of natural philosophers here.