The Relationship Between Undecidability and the Idea That All Problems Are Soleable

The idea for this podcast came up while I was listening to Brett Hall's toe cast episode 82. In mathematics, as well as in science and philosophy, he says, if the question is interesting, then the problem is soluble. So when people argue with him over the idea that problems are inevitable, but they're soluble, one argument his often brings up is that undecidability is an insoluble problem so it should also be uninteresting. Now Deutsch goes on to contradict him on that in the podcast. He actually talks about, for example, how undecidable may factor is interesting because it may factor into problems about physics. This got me thinking, what is actually the