Comment by aliasxneo
I was being absolute in my language because I was trying to understand the extent of GP's views on this subject. Sure, it's entirely possible that it didn't translate across and that we're talking about a "significant fraction" of religious people raising scientifically ignorant kids. Even then, it's almost impossible to prove because we're not operating with a well-defined meaning for "scientifically ignorant."
However, you've now moved the goalpost by stating that "religious doctrines" are anti-science. That wasn't the original argument. We're talking about whether or not religious people, who homeschool, will necessarily produce scientifically ignorant children.
Nonetheless, the more I think about this, the more the conversation is pointless because we'd spend an eternity working out what scientifically ignorant looks like. A person may agree with 80% of the scientific theories in the world and disagree on 20% and someone might say that makes them "scientifically ignorant." Which I find amusing, considering the amount of fraud going on in modern scientific journals.
I want to make it clear that the main issue is anti-epistemology. Trusting authority figures on "the science" isn't much different than trusting authority figures on "the gods", but there is a big difference between how the two schools of thought investigate new ideas. Religions take their axioms as inviolable, while science usually treats them as convenient beliefs until better ones come along.
I'm less worried about people being scientifically ignorant than people who lack the ability to think through ideas (specifically, most religions have built-in thought-stoppers such as "doubt your doubts before you doubt your faith"). For example, Socrates was a great thinker, and even though he was terribly ignorant by today's standards, I wouldn't be worried if our society was composed of people like him. I am worried about people who have literally been indoctrinated out of the capacity for reason.