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2015 | OriginalPaper | Buchkapitel

Is Human Mind Fully Algorithmic? Remarks on Kurt Gödel’s Incompleteness Theorems

verfasst von : Mircea Dumitru

Erschienen in: Evolving Computability

Verlag: Springer International Publishing

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Abstract

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 Gödel’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 Gödelian incompleteness theorems; (iii) finally, I shall present and comment upon some of the main views advocated by Gödel about minds and machines, mind and matter, and the contrast between Turing machines and the so-called Gödel minds. In the process, Gödel’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, Gödel’s own views are worth exploring and they fully deserve our undivided philosophical attention. Gödel 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.

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Fußnoten
1
For some of the reactions see [2, 5, 6].
 
2
Gödel believed the human soul is immortal, that science will prove that fact one day. His philosophical hero was Leibniz.
 
3
By ‘mechanism in biology’ Hao Wang says that Gödel meant Darwinism, “which he apparently sees as a set of algorithmic laws (of evolution). Even though he seems to believe that the brain - and presumably also the human body - functions like a computer [...], he appears to be saying here that the human body is so complex that the laws of physics and evolution are insufficient to account for its formation within the commonly estimated period of time” ([6], p. 192).
 
Literatur
1.
Zurück zum Zitat Churchland, P.M.: Matter and Consciousness. The MIT Press, Cambridge (1992) Churchland, P.M.: Matter and Consciousness. The MIT Press, Cambridge (1992)
2.
Zurück zum Zitat Hintikka, J.: On Gödel. Wadsworth, Belmont (2000) Hintikka, J.: On Gödel. Wadsworth, Belmont (2000)
3.
Zurück zum Zitat Nagel, E., Newman, J.R.: Gödel’s Proof. Routledge, London (1958) Nagel, E., Newman, J.R.: Gödel’s Proof. Routledge, London (1958)
4.
Zurück zum Zitat Smith, P.: An Introduction to Gödel’s Theorems, 2nd edn. Cambridge, New York (2013) Smith, P.: An Introduction to Gödel’s Theorems, 2nd edn. Cambridge, New York (2013)
5.
Zurück zum Zitat Tieszen, R.: After Gödel. Platonism and Rationalism in Mathematics and Logic. Oxford, UK (2011) Tieszen, R.: After Gödel. Platonism and Rationalism in Mathematics and Logic. Oxford, UK (2011)
6.
Zurück zum Zitat Wang, H.: A Logical Journey. From Gödel to Philosophy. The MIT Press, Cambridge (1996) Wang, H.: A Logical Journey. From Gödel to Philosophy. The MIT Press, Cambridge (1996)
Metadaten
Titel
Is Human Mind Fully Algorithmic? Remarks on Kurt Gödel’s Incompleteness Theorems
verfasst von
Mircea Dumitru
Copyright-Jahr
2015
DOI
https://doi.org/10.1007/978-3-319-20028-6_3