Edited by Greg Neyman
Argument:
Carbon dating is based on the ratio of C-14/C-12 in the atmosphere. This ratio varies, therefore carbon dating is not valid. Wrong dates come from assuming a wrong initial C-14/C-12 ratio.
Source: Morris, Henry M., 1974. Scientific Creationism, pp. 162-166.
    answersingenesis.org/creation/v26/i1/game.asp#dating
    
 
Response:
This has been recognized by geochronologists since 1969, and other methods, such as dendrochronology (tree ring dating) has been used to calibrate the ratios to more than 11,000 years ago
Calibration of radiocarbon dating with isochron dating of corals extends back to 30,000 years
Calibration of radiocarbon dating with isochron dating of varves extends back to 45,000 years
To learn more on this topic, read the TalkOrigins.org rebuttal.
Radiocarbon Dating (Wikipedia)
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