For the love of the pursuit of knowledge
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I'm trying to understand the belief in free will. For those who believe in free will, do you believe that your actions are determined by a chain of prior causes or not? If you do, you're a determinist and do not believe in free choice, since you can't control the causes that took place before you were born. If you don't believe your actions are determined by a chain of prior causes, or don't believe that that causal chain extends to before your birth, then you believe that at some point before your action, an event occurred for no reason whatsoever (purely random). How could this possibly get you free will either? No combination of determinism nor indeterminism (randomness) gives you "free will" in the sense of authorship of and responsibility for your actions. How can you believe anyone is ultimately responsible for what they do?
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They both appear to be blue to me, but if by "purple" you mean the dot to the lower left, I suppose the most "economical" way to see the higher dot would be to somehow go to the next peak.