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Is Human Mind Fully Algorithmic? Remarks on Kurt Goedel's Incompleteness Theorems

机译:人类思维完全是算法性的吗?关于Kurt Goedel的不完全性定理

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In this paper I shall address an issue in philosophy of mind related to philosophy of mathematics, or more specifically to the nature of mathematical knowledge and reasoning. The issue concerns whether the human mind is fully algorithmic. I shall develop my answer against the background which is created by Kurt Godel's celebrated incompleteness theorems. In what follows: (ⅰ) I shall first sketch the main programs and responses to the mind-body problem in philosophy of mind; (ⅱ) then, I shall provide an informal overview of the two Godelian incompleteness theorems; (ⅲ) finally, I shall present and comment upon some of the main views advocated by Godel about minds and machines, mind and matter, and the contrast between Turing machines and the so-called Godel minds. In the process, Godel's very unorthodox and unfashionable views against computabilism, neuralism, physicalism, psychoneural parallelism, and even against the underlying philosophical presuppositions of the Turing machines will emerge. Shocking as they, understandably, are, as compared to the standard psychological and philosophical orthodoxy underlying the received computabilistic views on mind, Godel's own views are worth exploring and they fully deserve our undivided philosophical attention. Godel is, after all, the founding father and one of the essential inspiring sources for the whole domain and range of topics that I address in my paper.
机译:在本文中,我将讨论与数学哲学(或更具体而言,与数学知识和推理的性质有关)的心智问题。这个问题关系到人类的思维是否完全是算法。我将在库尔特·戈德尔(Kurt Godel)著名的不完全性定理创造的背景下发展我的答案。在下面的内容中:(ⅰ)首先,我将概述心智哲学中对身心问题的主要程序和对策; (ⅱ)然后,我将对这两个哥德尔不完整定理进行非正式概述; (ⅲ)最后,我将介绍并评论戈德尔提出的关于思想和机器,思想和物质的一些主要观点,以及图灵机器和所谓的戈德尔思想之间的对比。在此过程中,戈德尔提出了反对计算主义,神经主义,物理主义,心理神经并行性甚至反对图灵机的基本哲学预设的非常传统和不合时宜的观点。可以理解,与所接受的可计算性思想所依据的标准心理和哲学正统思想相比,它们令人震惊,戈德尔自己的观点值得探索,它们完全值得我们一心一意的哲学关注。毕竟,戈德尔(Godel)是创始之父,也是我在论文中谈到的整个领域和主题的重要鼓舞人源之一。

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