Hilbert told there are __________ problemsa.Solvableb.Equivalentc.Unsolvabled.Good
Question
Hilbert told there are __________ problems
a. Solvable
b. Equivalent
c. Unsolvable
d. Good
Solution
Hilbert famously proposed a list of 23 unsolved problems in mathematics during the International Congress of Mathematicians in 1900. However, he also acknowledged that there are problems that are not just unsolved but fundamentally unsolvable (in the sense that no algorithm can determine a solution).
The correct answer to the statement "Hilbert told there are __________ problems" is:
c. Unsolvable
Hilbert's problems sparked significant developments in mathematics and some have paved the way for entire fields of research. While many of his original problems have been solved, the notion of unsolvability remains a critical discussion in mathematical logic and foundations.
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