unsolvability (Meaning)
Wordnet
unsolvability (n)
the property (of a problem or difficulty) that makes it impossible to solve
Synonyms & Antonyms of unsolvability
No Synonyms and anytonyms found
unsolvability Sentence Examples
- The unsolvability of the halting problem has profound implications for computer science.
- Gödel's incompleteness theorem demonstrates the inherent unsolvability of certain mathematical problems.
- The unsolvability of the satisfiability problem for propositional logic has been proven, limiting the power of automated reasoning.
- The unsolvability of Fermat's Last Theorem for general exponents has frustrated mathematicians for centuries.
- The unsolvability of the Entscheidungsproblem, as shown by Turing and Church, has fundamental consequences for the limits of logic.
- Proving the unsolvability of a problem can provide valuable insights into the nature of computation and problem-solving.
- The concept of unsolvability helps us understand the limits of our ability to solve certain types of problems.
- The unsolvability of the traveling salesman problem for large instances has led to the development of approximate algorithms.
- The unsolvability of the word problem for certain groups highlights the inherent complexity of algebraic structures.
- The theoretical study of unsolvability has led to significant advancements in computer science and mathematics.
FAQs About the word unsolvability
the property (of a problem or difficulty) that makes it impossible to solve
No synonyms found.
No antonyms found.
The unsolvability of the halting problem has profound implications for computer science.
Gödel's incompleteness theorem demonstrates the inherent unsolvability of certain mathematical problems.
The unsolvability of the satisfiability problem for propositional logic has been proven, limiting the power of automated reasoning.
The unsolvability of Fermat's Last Theorem for general exponents has frustrated mathematicians for centuries.
