I know this isn't really the main point of the thread but I think the question of how/why people are "brainwashed" is an important one and the idea that people can be innoculated via formal education is simply not true. These concepts (confirmation bias, logical fallacy, etc.) are in fact already built into the curriculum of our major brainwashing facilities (ie. universities) where the "educated" have no difficulty whatsoever in perverting those concepts to bolster irrational arguments.
At the same time, the uneducated deplorables seem to posses an innate BS detector and in many instances they've managed to summon more critical thought (eg. climate change) than their educated counterparts.
I have my own ideas about why this is but am content to assert that it is not attributable to schooling of any kind...unless you include the school of hard knocks :)
I wouldn't simplify it as "educated" or "uneducated". There are too many lies in circulation to identify a single source or cure for each one. Age of sample population is a factor also. The younger a person is, the more vulnerable they are to widespread falsehoods.
In my case, I can say I believed quite a lot of lies that did come from school. The five that come to mind are manmade global warming/climate change, Theory of Evolution, psi is impossible, God is not real, and the concept that a human baby is not a "life" or "alive" until after it is born. In each case, I was taught these things in school. The ideas were reinforced by popular culture and the media. I no longer believe any of these things.
Real world observations changed my beliefs over time. Based on my current understanding, I am shocked it took so long to recognize those ideologically-driven concepts as false. My red-pill moments differ for each:
Climate Change: In around 2005, I read Michael Crichton's novel "State of Fear", given to me as a birthday present by my neighbor. Until I read that book, it had never occurred to me that any particle of climate change theory might be wrong. I accepted it as uncontroverted fact. The Chricton book, though fiction, raised the concept of an argument against climate change. As soon as I saw that possibility, I looked at statements about climate change much more critically and realized that Chrichton's book, though fiction, was more sound than any amount of papers claiming that climate change is a) dramatic and b) caused by mankind.
Theory of Evolution: This never made sense to me but I accepted it regardless because the only resistance to it that I was aware of came from religion. I didn't believe in God, so I was comfortable thinking that anything stated by a religious person was false. And then I decided to become a comic book artist. To be successful, I had to study anatomy. There wasn't a single aha! moment in this process. As I studied anatomy, I become gradually more aware of how interdependent every aspect of human anatomy is. More than that, it looked designed. At some point, I'm not sure exactly when but around 1995, I realized that our anatomy is designed, not evolved via natural selection.
God: You'd have to read my book, Dreamer, to get the whole story on this one. In a nutshell, I was an atheist until around 2003. Before that, starting with my dream journal in 1990, I had slowly started the process of accumulating evidence from my dreams that indicated the existence of God. I didn't believe it at first, didn't want to believe it, but gradually accepted the reality of God over many years.
Psi: My disbelief in psi was overturned in 1990, thanks to my dream journal. It had strong evidence of precognitive dreams and OBEs from the first few entries. I didn't want to believe in psi and felt silly at first but could not explain the evidence any other way.
When life begins: This one is just stupid. If I had bothered to think about it at all, I never would have accepted the pro-abortion side of this. Again, it was a combination of psi dreams regarding reincarnation and Dr. Ian Stevenson's reincarnation studies that flipped me on this one.
An interesting side note: I do hold a PhD from King's College, London but I earned it late in life. All of the formative moments just described happened before I had the PhD. Before that, my educational history stops at age 14 when I left high school (after passing a "proficiency exam" so that I could start college. I started college as an art student at age 14 but didn't have the money to continue. Although I had good grades, I left school without a diploma at age 19. The next time I attended university, I was co-founder of a bachelor's program in the Netherlands.