EthanT
Member
If I'm understanding this correctly, he is using free in a very particular way. His definition takes as its starting point the final choice. He begins after the decision is made. This hypothesis states that knowing the choice does not enable us to go back and determine how the choice was made. In that sense the choice is free from its prior inputs. Just knowing the choice does not allow us to infer how the choice was made. I agree with this completely. I don't think it in any way contradicts anything that I've said.
This isn't a statement that the variable was not affected by prior inputs – but that we can't know what they were just from looking at the variable itself. I could be mistaken, but it doesn't seem to me that this formulation makes any statement at all about how the choice was made in the first place.
Arouet, I only read this far because this is going off the mark already. This is all about light cones within relativity, so maybe reading there first would be more beneficial? For one event (A) to be able to causally effect another event (B) [i.e., both be part of a causal web], A must lie within the past light cone of event (B), meaning they are time-like separated. If A does not lie within the past light cone of B, it cannot, in any way, causally effect event (B) and the events are then said to be space-like separated. These are basic relativistic concepts. I'll re-quote what I had above:
Hence, if a variable is to be chosen freely, according to Bell’s definition, it means that the variable can only be correlated with events in its future light cone.
So, it's a very strong statement that the variable is causally un-effected by "prior inputs", as was mentioned on the Cracking the Nutshell site. In which case, Bell can't really make any statement about "how" the choice was made, because that would refer to some kind of 'causal correlation' with another event in its past light cone, which he has ruled out via his definition. This is, after all, what makes a choice free. In a way, a free choice does not have a past light cone at all, or at least it might as well not.
To a later point you made, a completely deterministic process is NOT free. It's a contradiction in terms, perhaps the most contradictory statement ever. That is the main point of what Zeilinger said and why Bell set things up the way he did.
Anyhow, if we can't get agreement here, let's just agree to disagree and move on with no hard feelings ;-)
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