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Representation in Dynamical Systems
arXiv - CS - Other Computer Science Pub Date : 2021-05-12 , DOI: arxiv-2105.05714 Matthew Hutson
arXiv - CS - Other Computer Science Pub Date : 2021-05-12 , DOI: arxiv-2105.05714 Matthew Hutson
The brain is often called a computer and likened to a Turing machine, in part
because the mind can manipulate discrete symbols such as numbers. But the brain
is a dynamical system, more like a Watt governor than a Turing machine. Can a
dynamical system be said to operate using "representations"? This paper argues
that it can, although not in the way a digital computer does. Instead, it uses
phenomena best described using mathematic concepts such as chaotic attractors
to stand in for aspects of the world.
中文翻译:
动力系统中的表示
大脑通常被称为计算机,类似于图灵机,部分原因是大脑可以操纵离散符号,例如数字。但是大脑是一个动力系统,更像是瓦特调速器,而不是图灵机。可以说动态系统使用“表示”来运行吗?本文认为,尽管不是数字计算机可以做到的,但它可以做到。相反,它使用通过数学概念(如混沌吸引子)最好地描述的现象来代表世界的各个方面。
更新日期:2021-05-13
中文翻译:
动力系统中的表示
大脑通常被称为计算机,类似于图灵机,部分原因是大脑可以操纵离散符号,例如数字。但是大脑是一个动力系统,更像是瓦特调速器,而不是图灵机。可以说动态系统使用“表示”来运行吗?本文认为,尽管不是数字计算机可以做到的,但它可以做到。相反,它使用通过数学概念(如混沌吸引子)最好地描述的现象来代表世界的各个方面。