This is a bit of a philosophical question. Due to Godel, we know that there are undecidable statements in ZFC set theory. But why is it that most statements that mathematicians tend to study in practice are decidable? Is it something to do with the fact that "humanly interesting" mathematical statements are special in some way? To put the question another way, why is it so hard to find "natural" examples of undecidable statements? To date, I don't think anyone has found a natural undecidable statement about finitary objects that everyone recognizes to be undecidable. Anyway, I would love to read some text on this topic.
2026-03-30 15:30:02.1774884602
Why is it that most mathematical statements that mathematicians tend to study are decidable?
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