The Origins of Impossible Problems Introduction. Impossible problems have always been a part of the landscape of human thought. They arise from various sources, often rooted in cognitive, logical, or structural limitations. Some problems are truly unsolvable due to fundamental constraints, while others only appear impossible because of human limitations in understanding, reasoning, or approach. In many situations, we make difficult problems impossible because of our limitations, psychological and otherwise. It is a curious thought problem to consider what sort of limitations AI will reveal when we give it truly difficult problems to solve. We must hope that we humans have not transferred our complete reliance and dependence to machine-learning tools beforehand. Below are key sources of seemingly impossible problems, along with examples and a few references to philosophical and scientific thought. Impossible Problems . To explore impossible problems, we must consider our systems fo...
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