I'd like to better understand how compatibilists conceive of free will.[1] LW is a known hotbed of compatibilism, so here's my question:
Suppose that determinism is true. When I face a binary choice,[2] there are two relevantly-different states of the world I could be in:[3]
State A: Past events HA have happened, current state of the world is A, I will choose CA, future FA will happen.
State B: Past events HB have happened, current state of the world is B, I will choose CB, future FB will happen.
When I make my choice (CA or CB), I'm choosing/revealing which of those two states of the world are (my) reality. They're package deals: CA follows from HA just as surely as it leads to FA, and the same holds for state B.
Which seems to give me just as much control[4] over the past as I have over the future. In whatever sense I 'exercise free will' to make CA real and bring about FA, I also make it the case that HA is the true history.
My question is: Does this bother you at all, and if not, why not?[5]
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Yes, I've done my own reading, though admittedly it's been a while. I never found a satisfying (to me) answer to this question, and to the best of my recollection I rarely saw it clearly addressed in a form I recognised. If you want to link me to a pre-existing answer, please do, but please be specific: less 'read Dennett' and more 'read this passage of this work'.
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Maybe no real choice is truly binary, but for the sake of simplicity let's say this one is. I don't think that changes anything important.
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For simplicity I'm taking the physical laws as a given. I don't think that matters unless free will involves in some sense choosing which set of physical laws holds in reality.
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Not necessarily in every sense in which you might want to use the word 'control'; you might define that word such that it only applies to causal influence forward in time. But yes in the sense that whatever I can do to make my world the one with FA in it, I can do to make my world the one with HA in it.
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If your answer involves the MWI or something like it, I would appreciate if you explained (the relevant bits of) how you conceive of personal identity and consciousness within that framework.
Nobody, including me, can know for sure what the choice is until I make it, and the choice depends on chaos. Even if it's technically deterministic, it depends on how I resolve the noise that is emitted from chaos. If there's true randomness in the world then that additionally helps me be the origin of the choice, rather than deterministic noise, but even with only noise from chaos rather than randomness, the rest of the universe cannot possibly know my choice until I stabilize on it because sensitive dependence on initial conditions means that the details that determine how my brain will wiggle around through neural consensus space are unobservable to any other system no matter how superintelligent, and the choice gets to depend on input from my entire brain. In this sense, my brain is still the causal bottleneck through which my choices depend, and my entire brain is the bottleneck; noise from chaos means that if I might have chosen a way that mismatches my full network of preferences, my neurons get a chance to discuss it before settling. Biases and shortcut reasoning bypass this partially, of course.
As a result, even if technically my choice is strictly a logical consequence of my brain state, that logical consequence is not written to the universe until I resolve it, and the chaos means that every physical system besides my brain must retain logical uncertainty about my choice until it is resolved which way my neurons discuss and settle. In a fully deterministic universe, free will is logical hyperstition.
Some interesting resources on the topic. I have watched the videos, but I only skimmed the search results. Bulleted summaries via kagi.com's universal summarizer in 'key moments' mode.
If it's new to you, I'd also suggest an overview of chaos theory:
Or if 10 minutes is a bit long, here's a 1 minute animation showing divergence among chaotic trajectories that start out coherent; there's a moment at :26 where the pendulums lose sync, briefly all at the same edge of stability; however, this is not a chaotic system which seeks the edge of stability, and the pendulums quickly fall in different directions off the saddle point. in contrast a system at the edge of chaos is on a saddle point at almost all times!