Questions tagged [incompleteness-theorems]

For questions related to Gödel's incompleteness theorems, which are two theorems of mathematical logic that demonstrate the inherent limitations of every formal axiomatic system capable of modeling basic arithmetic.

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What are some implications of Gödel's theorems on AI research?

Note: My experience with Gödel's theorem is quite limited: I have read Gödel Escher Bach; skimmed the 1st half of Introduction to Godel's Theorem (by Peter Smith); and some random stuff here and there ...
4
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Shouldn't Gödel's incompleteness theorems disprove the physical symbol system hypothesis?

According to the Wikipedia page of the physical symbol system hypothesis (PSSH), this hypothesis seems to be a vividly debated topic in philosophy of AI. But, since it's about formal systems, shouldn'...
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Do Gödel's theorems imply that intelligence systems may end up in some undecidable situation (that may make them take a wrong decision)? [closed]

So far I understand - I know very little on the topic - the core of AI boils down to design algorithms that shall provide a TRUE/FALSE answer to a given statement. Nevertheless, I am aware of the ...