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What is premise of Gödel's Incompleteness Theorem discussed by Hofstadter?
It disproves the theory of relativity
It's about the limitations of provability in mathematics
It states that all numbers are irrational
It proves that black holes don't exist
Answer
Gödel's Incompleteness Theorem states that no consistent system of axioms whose theorems can be listed by an "effective procedure" (essentially, a computer program) is capable of proving all truths about the natural numbers. This means that there are true statements about the natural numbers that are unprovable within any such system.
Mind-Bending Beyond Measure: The Douglas Hofstadter Quiz
More Questions
Which cognitive scientist inspired Hofstadter's work on artificial intelligence?
What central theme, contained in ‘Gödel, Escher, Bach’ did Hofstadter continue exploring in his subsequent work?
In which university did Hofstadter become an assistant professor of computer science?
Hofstadter introduced the concept of "strange loops". To which field does this concept primarily belong?
What computer program did Hofstadter co-develop to model the cognitive process of analogy-making?
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