Personally, until someone can show me, in pure math logic, that there's a way to make a choice without a logical path, I won't believe it. Because that's the fundamental thing here.
That being said, I did try to do some of my own math for it to see what it would take. I created a network of nodes and paths between them. The idea was that every node would be connected to every other node. Thus if you picked two random nodes there would be increased uncertainty of which path specifically was taken to get from A to B in any instance. Nonetheless there'd still be a path so no choice would be free. But if you take it to infinity something interesting happens. Certainty goes to 0.
Now, this doesn't equal free will because there's still paths, in order for it to be free will it would hav to come from outside of the system. I.e, certainty would have to be negative, not just 0. You just have no way to tell which one would be taken in any instance. However it does bring up an interesting question. Can someone win an infinite lottery? I don't know. Presumably yes because there should still end up being A winning ticket, but at the same time no because the chances are infinity to 1. That's the closest I've ever gotten to a mathematical proof in support of free will. You could achieve this effect in reality through liquefying the system. Assuming you can infinitely divide the space, then you effectively have infinite nodes and pathways, or one single meta node.
This is unlikely because of plank length... but... what if you use a substance out of phase or more fundamental than this specific universe? Then maybe plank length doesn't matter because it literally doesn't exist and thus you can subdivide as much as you want. Or maybe you don't even need to and it's all just pure information. Like how irrational numbers never end.
Regardless, I don't actually think free will is real, yet, but I also think that's really stupid so I act like its real anyways.
That being said, I did try to do some of my own math for it to see what it would take. I created a network of nodes and paths between them. The idea was that every node would be connected to every other node. Thus if you picked two random nodes there would be increased uncertainty of which path specifically was taken to get from A to B in any instance. Nonetheless there'd still be a path so no choice would be free. But if you take it to infinity something interesting happens. Certainty goes to 0.
Now, this doesn't equal free will because there's still paths, in order for it to be free will it would hav to come from outside of the system. I.e, certainty would have to be negative, not just 0. You just have no way to tell which one would be taken in any instance. However it does bring up an interesting question. Can someone win an infinite lottery? I don't know. Presumably yes because there should still end up being A winning ticket, but at the same time no because the chances are infinity to 1. That's the closest I've ever gotten to a mathematical proof in support of free will. You could achieve this effect in reality through liquefying the system. Assuming you can infinitely divide the space, then you effectively have infinite nodes and pathways, or one single meta node.
This is unlikely because of plank length... but... what if you use a substance out of phase or more fundamental than this specific universe? Then maybe plank length doesn't matter because it literally doesn't exist and thus you can subdivide as much as you want. Or maybe you don't even need to and it's all just pure information. Like how irrational numbers never end.
Regardless, I don't actually think free will is real, yet, but I also think that's really stupid so I act like its real anyways.
"The cure for bad information is more information."