Radiometric dating falacies
Various elements are used for dating different time periods; ones with relatively short half-lives like carbon-14 (or C) are useful for dating once-living objects (since they include atmospheric carbon from when they were alive) from about ten to fifty thousand years old. Longer-lived isotopes provide dating information for much older times.
The key is to measure an isotope that has had time to decay a measurable amount, but not so much as to only leave a trace remaining.
Carbon-14 decays almost completely within 100,000 years of the organism dying, and many fossils and rock strata are hundreds of times older than that.
YEC biblical literalists are necessarily bound to the dogmatic religions conclusion that the Earth is of a certain age based on a particular literal interpretation of the Genesis creation myth.
The meaning of this equation is that the rate of change of the number of nuclei over time is proportional only to the number of nuclei.
This is consistent with the assumption that each decay event is independent and its chance does not vary over time.
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Ultimately these "creation scientists" were forced to admit that even for methods they accepted as sound, the age of the Earth would be vastly greater than the 6,000 they set out to prove.