You don't need set theory to prove that 1+1=2. You don't need mathematical logic. A child which answers that if he puts one thing and then another thing and then counts and gets two things have proved it just fine. Those later complications are just there when you try to put it in context of other things you know. Ancient Greeks did not do set theory or mathematical logic, yet their understanding of basic addition was completely fine.
You inability to understand what is irrelevant complication, and your deferral to authority and expertise even when you are perfectly capable of understanding, is your own problem.
Here are two quote you said:
> "(There are no right questions, only right answers.)
A point that does not pertain to what I said. I said nothing about “right” questions."
> "Asking the right questions requires some perspicacity."
You also say "The thoughts were completely wrong". There are also no wrong thoughts, only wrong conclusions. A person afraid to "think" wrongly as the narrative so strongly tries to program people, is infinitely dumber than a person who doesn't constrain his thinking. That's what they want to happen. Amazing there are NPCs like you who avoid "wrongthink".
There are people who know a lot and understand nothing. Knowledge is spewing up complications from set theory. Understanding is being able to tell, by the context, that this is completely irrelevant.
You appealed to authority to even tell me that the earth is flat. You didn't say that we can observe the curvature from measuring distances, from doing an experiment with ships masts disappearing into the horizon, or any other way even ancient people figured it out. It's true because "The knowledge that the Earth is spheroidal has been known for many hundreds of years. ".
People "knew" the sun rotates around earth for thousand of years. And the truth won despite it being against the "authority". And nothing will change that understanding, even if some string theory will discover the 11th dimension or whatever, because that will be irrelevant in the same sense that set theory is irrelevant to 1+1=2. For these same reasons you don't need and shouldn't appeal to authority.
Appeal to authority is only knowledge. Zero understanding.
I said nothing about "doing the research". A person who deferred to authority and knowledge to answer a question is always inferior to a person who tried to understand and failed. A person appealing to authority is just trying to mirror someone's intelligence. A parrot who repeats a correct sentence is still dumber than a human saying a wrong sentence.
A parrot who repeats "vaccines are good" because he heard that is always the greater fool than the anti vax who says vaccines are bad.
A parrot who says 1+1=2 because set theory shows less understanding than a kid with an abacus. The parrot is saying irrelevant things while the child isn't.