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It's interesting to note Wigner's drawing attention to the unreasonable ineffectiveness of mathematics outside of physics I think you make a mistake, confusing axioms, and 'atomic rules'. To understand the modern use, we should look at how it evolved, from Euclidean geometry, where it's axioms were seen as 'self evident' elementary propositions. Geometry was ...


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What makes knowledge possible, is in your prefrontal cortex :) That's a short answer, anyway. After that, however -- and for reasons too sad to mention -- things quickly become complicated... OK, I'll mention them anyway. See, while everyone has the "hardware", few people use it at all, and almost no one use it in the way it was intended for. '...


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In the chess context it is instructive to read about the computational methods, especially weighted tree searches, and evolutionary algorithms. Convolutional neural networks are a powerful tool which seem to mimic methods found in brains. They have a kind of hierarchic structure, say used in vision a layer might be scanning for lines, then pass up ...


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This seems a reasonable and convincing argument. However, saying that knowledge is hard in the case of chess seems not quite the situation. It don't believe that any one human being could imagine all possible games. We might want to argue that this is at least possible in principle in the precise sense that we know all the rules of the game. But this is ...


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If you can and do choose between two equally unpleasant course of action, then the problem is resolved by your choice and so is not insolvable. But this does not go to the heart of the issue you raise. Sometimes 'unsolvable' problems arise because of the simple fact of scarce resources, including time. You face equal and incompatible demands on your ...


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Without more specific examples it's difficult to address your feelings of being in a deadlock, but dilemmas are just a trivial consequence of economics. We have seemingly limitless desire, our brain is almost constantly in search of the next resource we can secure to keep ourselves content. Yet, resources are limited and object of competition. The shop has ...


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Every individual is born with different vasanas and each life is important. So, each life certainly have some goal. 'Every soul' is divine and so at last must 'reach the destination' -- to divinity. When we look from each individual's point of view, it seems difficult and testing. But if we can view it from outside these creations, it is not so. When we ...


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This is of special significance to Christianity & Judaism, where duty and faith are constantly put to the test, with Abraham, Noah, and Jonah being core stories of the 1st rank of prominence in these religion's account of themselves. There is a misunderstanding between heaven, which these figures were raised to, and the resurrection, the destiny of the ...


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