2007NeuroQuantologyOpen access

Implications of Gödel's Incompleteness Theorem on A.I. vs. Mind

Fatih Gelgi

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Abstract

In 1931, a young Austrian mathematician published a paper that sent shock waves through the mathematical community and forced mathematicians to take a fresh look at their discipline. The mathematician was Kurt Godel, and the result proved in his paper became known as the Godel Incompleteness Theorem, or more simply Godel’s Theorem—although it was by no means the only major theorem he proved during his highly successful career. He is also known as one of the inventors of the theory of recursive functions which formed part of the foundation for computers.

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In 1931, a young Austrian mathematician published a paper that sent shock waves through the mathematical community and forced mathematicians to take a fresh look at their discipline. The mathematician was Kurt Godel, and the result proved in his paper became known as the Godel Incompleteness Theorem, or more simply Godel’s Theorem—although it was by no means the only major theorem he proved during his highly successful career. He is also known as one of the inventors of the theory of recursive functions which formed part of the foundation for computers.

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Available abstract

In 1931, a young Austrian mathematician published a paper that sent shock waves through the mathematical community and forced mathematicians to take a fresh look at their discipline. The mathematician was Kurt Godel, and the result proved in his paper became known as the Godel Incompleteness Theorem, or more simply Godel’s Theorem—although it was by no means the only major theorem he proved during his highly successful career. He is also known as one of the inventors of the theory of recursive functions which formed part of the foundation for computers.

Key concepts: Gödel, Gödel's incompleteness theorems, Foundation (evidence), Calculus (dental), Mathematics, Mathematical economics, Epistemology, Philosophy

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