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NOBLE i sense a bit of Compatibalism in your response lol.. Plus you mentioned:
"We do not all have the same capacity for free will, and we are all likewise bound by deterministic factors to varying degrees. What determines the extent to which someone can exercise free will is the options they have at their disposal. "
And what about prior events? Do they not determine the decisions we make today? Hard Determinism is under-rated
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Rant what do you think? I'd like to think that manipulation should tie into the debate of determinism.
Or for arguments sake lets assume that the person who is offering you these choices is not in anyway trying to manipulate your choice.. Does that still mean you have free will considering the probability of you choosing the cake is higher than the mouse? I don't believe so