"We didn't tell them that the bones they were dating were dinosaur bones. The Allosaurus dinosaur was supposed to be around 140,000,000 years.The samples of bone were blind samples.""Of course carbon dating isn't going to work on your Allosaurus bone. So I would expect to get some weird number like 16,000 years if you carbon date a millions of years old fossil.
Carbon dating is not flawed
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Carbon dating makes an animal living 4 thousand years ago (when there was less atmospheric carbon) appear to have lived thousands of years before it actually did.
A great book on the flaws of dating methods is "Radioisotopes and the age of the earth" (edited by Larry Vardiman, Andrew Snelling, Eugene F. Published by Institute for Creation Research; December 2000) Dating methods are based on 3 unprovable and questionable assumptions: 1) That the rate of decay has been constant throughout time. That the isotope abundances in the specimen dated have not been altered during its history by addition or removal of either parent or daughter isotopes 3) That when the rock first formed it contained a known amount of daughter material ("Radioisotopes and the age of the earth" pg v) We must recognize that past processes may not be occurring at all today, and that some may have occurred at rates and intensities far different from similar processes today.
When each of these elements, uranium, potassium, radium etc.
were switched on, it would only be natural for them to behave according to their individual properties, eventually acquiring stable half-lives of decay, at different rates.
Libbey knew that atmospheric carbon would reach equilibrium in 30,000 years.