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For at least the first two, there is no such thing as “the same starting conditions.”

You can't practically create the same starting conditions, but you can talk hypotheticals.

Libertarian free will holds that if you look at a particular situation - all of reality, including a particular human (including souls and their states / thoughts / whatever properties, if there are any such things) - then that situation could still lead to the particular human making multiple succeeding choices. It also, simultaneously, holds that the choice that is made is determined by the human. So, somehow, a subset of reality determines whether or not a choice is A or B while reality as a whole including that subset does not determine whether or not the choice is A or B.

And, no, this is not a strawman.

Libertarianism holds onto a concept of free will that requires the agent to be able to take more than one possible course of action under a given set of circumstances.

It has to be the agent taking the course of action. The action can't occur due to randomness - if it did, it wouldn't be willed. The action can't occur due to a given set of circumstances - if it did, it wouldn't be free. Therefore it must be simultaneously taken due to a subset of the set of circumstances (the agent and all its internal thoughts, states, etc.) while simultaneously not being taken due to the total set of circumstances.
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