计算的理念——从机械推理者到元胞自动机再到3D打印机

On the Idea of Computation

人们对数、算法或者计算的尊崇与信仰贯穿于科学与技术发展的整个历史过程中。从最初认为人们的思维推理是可以用数学表达、是可计算的,到后来元胞自动机理论提出复杂系统的关键核心是可计算的,再到现在认为当代技术的重大问题是可计算的,如第三次产业革命引领了大数据时代的到来、云计算以及3D打印机的出现,表明了产业中的可计算性。我们承认有一些符号运算是处理不了的,同时也主张世界是可以通过数学表达的。

People believe number, algorithms and computation throughout the entire history of science and technology. Originally they think people＇ s reasoning thought is computable,which can be expressed by mathematics. Cellular automata theory proposes later that the heart of complex systems is computable. Now people considered the major problem of modem technology is computable, such as the third industrial revolution led to the advent of the era of big data, cloud computing and the emergence of 3 D printers, which is indicating the computability of the industry. We recognize some symbolic operation is not treated, but also advocate world is expressed by mathematics.