Question

turing concluded that the entscheidungsproblem was possible.

true
false

Explanation:

🆕 New Concept Discovered: Decidability and the Halting Problem
An algorithm cannot solve every mathematical question.

Step 1: Understand the Entscheidungsproblem

The Entscheidungsproblem (German for "decision problem") was a famous challenge in mathematics posed by David Hilbert in 1928. It asked for an algorithm (a step-by-step procedure) that could take any mathematical statement as input and decide, with absolute certainty, whether that statement is true or false.

Step 2: Analyze Alan Turing's Conclusion

In 1936, Alan Turing published a landmark paper where he introduced the concept of the Turing machine. He used this model of computation to prove that a general solution to the Entscheidungsproblem is impossible.

Specifically, he showed that there is no algorithm that can determine whether an arbitrary computer program will finish running or run forever (known as the Halting Problem). Because the Halting Problem is undecidable, the Entscheidungsproblem is also undecidable. Therefore, Turing concluded that a solution was not possible.

Answer:

False