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Are there any unanswerable questions? (lemmy.ml)

submitted 2 years ago by tomasz@lemmy.ml to c/asklemmy@lemmy.ml

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[–] AgreeableLandscape@lemmy.ml 4 points 2 years ago* (last edited 2 years ago) (1 children)

In math:

Whether an algorithm run on a Turing machine will halt.

It's also known that there are true mathematical statements, than can never be proven. As in, they are definitely true, but we will never rigorously know for sure.

https://yewtu.be/watch?v=HeQX2HjkcNo

[–] yogthos@lemmy.ml 2 points 2 years ago

Yup, and that's a direct side effect of Gödel's incompleteness theorems.