Comment by TKoL on What is the relation between the uniformity of nature and determinism?

Uniformity of Nature means that events taking place with the same initial conditions will produce the same results. - I think you can have slightly weakened flavours of 'uniformity of nature' which aren't quite so tightly-bound to exactly the same results. Quantum Mechanics suggests a uniformity which is a bit more loose. For example, in quantum mechanics, it's not the exact result of any single event that will be exactly the same with the same starting conditions, but the probability distribution of results will be the same if you take many samples. It's a probabilistic uniformity.