Can a Turing Machine simulate the human mind? If the Church-Turing thesis is assumed to be true, then a Turing Machine should be able to simulate the human mind. In this paper, I challenge that assumption by providing strong mathematical arguments against the Church-Turing thesis. First, I show that there are decision problems that are computable for humans, but uncomputable for Turing Machines. Next, using a thought experiment I show that a humanoid robot equipped with a Turing Machine as the control unit cannot perform all humanly doable physical tasks. Finally, I show that a quantum mechanical computing device involving sequential quantum wave function collapse can compute sequences that are uncomputable for Turing Machines. These results invalidate the Church-Turing thesis and lead to the conclusion that the human mind cannot be simulated by a Turing Machine. Connecting these results, I argue that quantum effects in the human brain are fundamental to the computing abilities of the human mind.
翻译：一个图灵机器能够模拟人类的心灵吗? 如果教会图灵理论被假定是真实的, 那么图灵机器应该能够模拟人类的心灵。 在本文中, 我通过提供强大的数学参数来挑战这个假设, 反对教堂图灵理论。 首先, 我展示了人类可以计算但图灵机器无法计算的决定问题。 其次, 利用一个思想实验, 我展示了装有图灵机器作为控制单位的人类机器人无法完成所有人类可操作的物理任务。 最后, 我显示一个包含连续量子波函数崩溃的量子机械计算装置可以计算出对图灵机器无法计算到的序列。 这些结果使教堂图灵机器无效, 并导致人类心灵无法被图灵机器模拟的结论。 把这些结果联系起来, 我争论说, 人类大脑中的量子效应是人类大脑计算能力的根本。
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