Turing realized this halting problem was very similar to the decidability problem.

图灵意识到这个停机问题与可判定性问题非常相似。

That's what made the Turing machine so useful in answering Hilbert's question on decidability.

这就是图灵机在回答希尔伯特关于可判定性的问题时如此有用的原因。