Many problems that were previously thought to be unsolvable, crumbled quickly one after another.

很多以前认为不能解决的问题都逐个被击破了。

For a long time, heavy industries like cement seemed like unsolvable climate problems.

长期以来，水泥等重工业似乎是无法解决的气候问题。

I am not saying that the problem of aligning superintelligence is unsolvable in principle.

我没有说超级智能的对齐问题是根本无法解决的。

For example, females look at their owners more frequently and longer than males when facing unsolvable task.

例如，当面临无法解决的任务时，母狗会比公狗更频繁、更长时间地注视主人。

Once the task became unsolvable, they acted more like wolves, determined to find a solution on their own.

一旦任务变得无法解决，它们会表现得更像狼，即决心自己寻找解决方案。

So something like the twin prime conjecture might be unsolvable.

因此，像孪生素数猜想这样的问题可能是无法解决的。

A computer that can solve problems we used to think we're just unsolvable.

一台可以解决我们过去认为无法解决的问题的计算机。

Isn't it possible that it may even solve some problems you thought were unsolvable?

难道它甚至可能解决一些你认为无法解决的问题吗？

Like Boston's own Matt Damon in Good Will Hunting, she begins solving the unsolvable problem.

就像《心灵捕手》中波士顿的马特·达蒙一样，她开始解决这个无法解决的问题。

In what's known as the " unsolvable task" experiment, a dog first learns how to open a puzzle box with a tasty treat inside.

在名为“无法解决的任务”的实验中，狗狗首先学会如何打开内含美味食物的谜箱。

But what does it actually look like for objects in our universe to move according to analytically unsolvable equations of motion?

但是，对于我们宇宙中的物体来说，根据无法解析的运动方程式运动，它到底是什么样子的呢？

Unfortunately, Turing came up with a proof that shows the halting problem was in fact unsolvable, through a clever logical contradiction.

不幸的是，图灵通过巧妙的逻辑矛盾得出了一个证明，表明停机问题实际上是无法解决的。

And that could explain why domestication and sociality alone can't explain why dogs react the way they do when faced with an unsolvable puzzle.

这可以解释为何仅凭驯化和社会性不能解释狗在面对无法解决的难题时做出这种反应的原因。

Turing reasoned if there existed a program, whose halting behavior was not decidable by age, it would mean the halting problem is unsolvable.

图灵推断，如果存在一个程序，其停机行为不能由年龄决定，则意味着停机问题无法解决。