论文标题
图灵机无法模拟人类的思想
Turing Machines cannot simulate the human mind
论文作者
论文摘要
图灵机可以模拟人类的思想吗？如果假定教会的论文是真实的，那么图灵机应该能够模拟人类的思想。在本文中，我通过提供反对教会繁琐论文的强有力的数学论点来挑战这一假设。首先，我表明有一些决策问题是人类可计算的，但对于图灵机来说是无可兼容的。接下来，使用思想实验，我表明，配备了图灵机的人形机器人，因为控制单元无法执行所有可行的物理任务。最后，我表明，涉及顺序量子波函数崩溃的量子机械计算设备可以计算用于图灵机无法兼容的序列。这些结果使教会的论文无效，并得出这样的结论：人类的思想不能由图灵机器模拟。连接这些结果，我认为人脑中的量子效应是人类思想的计算能力的基础。
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.
