Earlier quoted context omitted.
I’m generally skeptical of the critical thinking movement. There is not much evidence that students can be taught to transfer their critical thinking skills from one subject to another. I think much of what people refer to as critical thinking is more aptly called subject expertise.
Huh? Are you saying that math and logic are not useful in a wide variety of subjects?
They also generally won’t help you evaluate scientific claims unless you also have enough scientific background. If someone says “humans will set foot on Mars within 30 years”, you’re going to have a hell of a time determining whether that’s reasonable unless you know a lot about: rocketry, physics, space travel, radiation, astronomy, human anatomy, nutrition, engineering, economics, and many other subjects!
If you’re just a math/logic wiz and not an expert in those other areas, you may be inclined to say “they’ve already put rovers on Mars, should be easy to get humans there!” because there’s nothing impossible or illogical about the question.