So it may well be sufficient to provide a bit of motivation to keep them learning, with evidence about truth of the eventual conclusions irrelevant throughout.
Are you saying that it might be best to provide no evidence, and instead just give references?
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What Is Mathematics? was the only one I was able to find from a local library. I've put a request in for it and I should be getting it soon. Thanks for the recommendation; if it helps me to not hate math then I might be able to do something actually useful for existential risk reduction.
These are available on Library Genesis.
Also, "What is Mathematics?" is more serious than the other two. "The Shape of Space" is probably the easiest and most fun, and "The Enjoyment of Math" is a collection of almost completely independent small pieces that don't assume any background, but some of them are a bit involved for something that doesn't assume any background.