I think the concept of godel's incompleteness has been taken out of context. Godel doesn't say that the entire system wouldn't be accurate, just that it would have limitations due to being based on a system of devised rules which would be limited by implication.
radioactive decay clocks work to the greatest acuracy because they are based on the law of averages, that of probability and standard deviation. ie. There's no way of telling how many particles will be ejected during any given second but that the expected amount of decay over a given half life will be very near to what's expected.
![[Image: Uncertainty]](https://images.weserv.nl/?url=en.wikipedia.org%2Fwiki%2FUncertainty)
radioactive decay clocks work to the greatest acuracy because they are based on the law of averages, that of probability and standard deviation. ie. There's no way of telling how many particles will be ejected during any given second but that the expected amount of decay over a given half life will be very near to what's expected.
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