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Self organising systems such as the brain necessarily develop certain internal rules that make them functional. We observe events and generalise them. We see effects and postulate causes. We draw links between related items. This is a basic component of our brain architecture - as well as that of animals. Logic is just a refinement of this process.


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How about a non-self organizing system like a computer, can it develop certain internal rules? I can look at a line and think about a point outside that line and invision ( at least in Euclidean geometry ) a single parallel. From there, I can derive all sorts of fun formulas. Will a computer ever be able to determine on its own, without specific programming, self-evident truths?