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Fallibilism is the idea that all of our knowledge contains errors…

This is a common mischaracterization of fallibilism. It’s actually a form of cynicism. See https://blog.dennishackethal.com/posts/don-t-take-fallibilism-too-far

In reality, fallibilism is the view that there is no criterion to say with certainty what’s true and what’s false; that, as a result, we inevitably make mistakes; and that some of our knowledge is mistaken at any given time. But not all of it.