I was thinking earlier about the concept of infinity and I asked myself, does the concept of infinity in itself refute the concept of determinism? If something is infinite, or has an infinite number of possibilities, then by definition an outcome cannot be determined. Ie it is (to state the obvious) infinite as opposed to finite. How do materialists therefore reconcile themselves with the concept of infinity (if at all). I am sure there will be many who see infinity as not necessarily something that exists in reality but merely something that is used as a kind of short cut within mathematics to avoid going through what is perceived to be every deterministic outcome. But then I started to think about paradoxes and how in some instances they become paradoxes because they do not follow a deterministic outcome. If we keep Zeno's paradox in mind then there is no reason logically that something cannot be divided by half for eternity, even if it is only a number. Therefore, if I can conceive of infinity then surely it must exist in reality; even if only as a thought. If infinity can exist in my head as a thought then does that mean that there can be no determinism when it comes to thoughts, inspirations and ideas? If this is so what then must replace determinism? Does infinity, point the way to free will? Is this why an observer is required to collapse the wave function? In an odd sort of way then, does it take free will to allow the perception of determinism to manifest even if the latter is only an illusion? Can determinism therefore be viewed as the logical outcome to a choice or observation made from free will because, in essence, free will = infinity?