dilettantish indeed. You are describing the state of science philosophy circa 1750. The limits of science and reason have been a hot, even formal topic in scientific circles since well before you were born. See Russell's Theory of Types or Godel's proof of the non-closure of discrete formal systems, or the works of Karl Poppper on scientific reasoning. These are not the backwaters of science, these are key central topics of the last 100 years.
If they are, they haven't made it out of the backwater into the public marketplace of ideas where us dilettantes can see them, feel them and know that they do in fact exist and are being weighed. I'm well aware of the presence of obscurantism in the scientific circles, thank you. I think that speculative (is one allowed to say that?) theories such as the one being discussed here would be perfect places to introduce these ideas. But instead it's the misnamed Sceptics Society all over the scene calling the rest of us 'dummies' and worse...