Intractable Problems

Intractable problems are complex challenges that are extremely difficult or impossible to solve efficiently with current methods. They often require an immense amount of time, resources, or computational power to find a perfect solution, making such solutions impractical. Examples include certain puzzles or optimization tasks where every attempt to find the best answer takes too long. These problems are significant in fields like computer science and mathematics because they highlight limits in our ability to solve certain types of questions quickly, guiding researchers toward approximate or alternative approaches instead.