I believe the mistake the author is doing is trying to simplify the world so much into a binary mindset, zeros and ones, all or nothing, pure qualitative. That

I believe the mistake the author is doing is trying to simplify the world so much into a binary mindset, zeros and ones, all or nothing, pure qualitative. That mindset is wrong, because the world is much more complex than simple axioms, and there is a qualitative part on everything too. Plato's cave, you don't see the world but its distorted image. For example, the statement "vaccines cause autism"(pesticides create autism is a fact) can be real in some amount like one in a million and also the statement "if you don't vaccinate you have a significant probability of dying from a virus, bigger than 1%". Both statements could be true. It does not need to be pure true or pure false just because my thoughts are binary. If I go B.A.S.E jumping or diving or downhill skying or biking there is a probability of me dying. People just accept the risk and do it anyway because they weight the advantages against the risks. X-rays create cancer. But they are also very useful, so they are used anyway, trying to minimize the risk. If you believe the statements "x-rays are safe" or "skying is safe" as 100% true, you are wrong, but the belief will be more useful than the opposite belief, that is also wrong, "if you get x-rays, you will get cancer". You don't need to belief in bipolar beliefs.