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I have this draft, Extraordinary Claims Routinely Get Proven with Ordinary Evidence, a debunking of that old Sagan line. We actually do routinely prove extraordinary claims like evolution or plate tectonics with old evidence that's been in front of our faces for hundreds of years, and that's important.
But Evolution and plate tectonics are the only examples I can think of, because I'm not really particularly interested in the history of science, for similar underlying reasons to being the one who wants to write this post. Collecting buckets of examples is not as useful as being able to deeply interpret and explain the examples that you have.
But I'm still not posting this until someone gives me more examples! I want the post to fight and win on the terms of the people it's trying to reach. Subdue the stamp collectors with stamps. It's the only way they'll listen.
I assume you mean, by "stamp collectors", people on the biology/chemistry/materials science side of things, rather than on the math/theoretical physics side of things, and by "extraordinary claims" you mean something along the lines of "claims that a specific simple model makes good predictions in a wide variety of circumstances", and by "ordinary evidence" you mean something along the lines of "some local pieces of evidence from one or a few specific experiments". So with that in mind:
Biology:
Cell theory ("If you look at a tissue sample from a macroscopic... (read more)
Some extraordinary claims established by ordinary evidence:
Stomach ulcers are caused by infection with Helicobacter Pylori. It was a very surprising discovery that was established by a few simple tests.
The correctness of Kepler's laws of planetary motion was established almost entirely by analyzing historical data, some of it dating back to the ancient Greeks.
Special relativity was entirely a reinterpretation of existing data. Ditto Einstein's explanation of the photoelectric effect, discovered in the same year.
4mako yass
Strong evidence is incredibly ordinary, and that genuinely doesn't seem to be intuitive. Like,
every time you see a bit string longer than a kilobyte there is a claim in your corpus that goes from roughly zero to roughly one, and you are doing that all day. I don't know about you, but I still don't think I've fully digested that.