I disagree. Most of our thinking is not rational at all. Most of it is acquired by habit, thru experience & not reasoning at all.
As far as something that exists that we don't believe in, I'm going to need an example of what you are talking about.
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You would never know, logically, that after several minutes of no oxygen, the brain cells no longer function. This information came to us thru observation & experience. Just as a child cannot reason logically that putting its hand in a fire will burn.
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The child learns from experience, not logical deduction.
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(1) Well, maybe I didn't know what "logic" really means. But the true definition of the term doesn't really matter. What I mean is that we're programmed to think in terms of what we believe we know from this tiny space of the universe we happened to be condemned to.
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(2) A child knows from experience that when they touch a fire, their fingers burn. Yes, that's a fact -- a fact to us, who happen to live in this tiny space in the entire universe. But we don't know how things are outside this tiny space.
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(3) Until just a few hundred years ago, we thought we knew by experience that the earth was flat. Until about the same time, we thought we knew by experience that the sun went around us.
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(4) There should have been many such things we thought we knew from experience that later on turned out to be false. Who knows? Thousands of years from now, there may arrive a new kind of people who do *not* get burned when they put their hand into a fire.
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(5) One example. We think we know from experience that we all need sunshine to survive. But I've heard there is one boy living in the USA who can *not* live under sunshine. He has to live indoors all the time, protected from light.
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(6) Then a team of carers wanted to help him try playing outdoors at least once just like the other children. The boy then had to put on a spacesuit designed for NASA astronauts before going outdoors to play soccer or something.
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(7) There are videos showing a man named Arnold Henskes, who is called invulnerable. People stab him with sharp swords many times but he's completely all right. Do you think this is a fake? Many videos of him being stabbed are available on YouTube.
youtube.com/watch?v=gqIDnm
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Body piercing is popular even today. The narrators explain the sword is always put in the same place & by the same assistant. People don't randomly just stab the guy. Hahaha. He didn't live very long. Died from an aortic rupture from swallowing a steel needle