GODEL'S INCOMPLETENESS THEOREM AND PHILOSOPHY OF MIND

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GHAYOOMZADEH KAMRAN

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Journal Paper

Paper Information

Journal: MANTEQ-PAZHUHI (LOGICAL STUDIES) Year:2011 | Volume:1 | Issue:2 Page(s): 103-118

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Information Journal Paper

Title

GODEL'S INCOMPLETENESS THEOREM AND PHILOSOPHY OF MIND

Author(s)

GHAYOOMZADEH KAMRAN | Issue Writer Certificate

Keywords

GODEL'S INCOMPLETENESS THEOREMSQ3

MECHANISMQ2

ANTI-MECHANISMQ3

PENROSE'S ARGUMENTQ3

ARTIFICIAL INTELLIGENCEQ2

Abstract

One of the most important applications of Gödel's completeness theorems is based on their roles the arguments of impossibility of formalization of human mathematical mind in capture of an algorithm or a finite formal system. Two main arguments have been proposed in this way of reasoning. In both of these arguments, it has been claimed that: the fact according to which human being can understand the truth of the unprovable Godelian sentence, shows the superiority of human being’s ability in mathematical reasoning to all machines’. But there are some important debates on both arguments. After explaining these two arguments, we will investigate the extensive contentions and challenges between mechanists and anti-mechanists. By explaining and analyzing GODEL'S INCOMPLETENESS THEOREMS and their connection to human arithmetical knowledge, we will show that there is no plausible argument, based on Gödel's incompleteness theorems, which can show the superiority of human being’s ability in mathematical reasoning to the machines’.

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APA: Copy

GHAYOOMZADEH, KAMRAN. (2011). GODEL'S INCOMPLETENESS THEOREM AND PHILOSOPHY OF MIND. MANTEQ-PAZHUHI (LOGICAL STUDIES), 1(2), 103-118. SID. https://sid.ir/paper/216420/en

Vancouver: Copy

GHAYOOMZADEH KAMRAN. GODEL'S INCOMPLETENESS THEOREM AND PHILOSOPHY OF MIND. MANTEQ-PAZHUHI (LOGICAL STUDIES)[Internet]. 2011;1(2):103-118. Available from: https://sid.ir/paper/216420/en

IEEE: Copy

KAMRAN GHAYOOMZADEH, “GODEL'S INCOMPLETENESS THEOREM AND PHILOSOPHY OF MIND,” MANTEQ-PAZHUHI (LOGICAL STUDIES), vol. 1, no. 2, pp. 103–118, 2011, [Online]. Available: https://sid.ir/paper/216420/en

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