This can also be illustrated with an hourglass example. When it is up-ended, sand flows from the top container to the bottom one at a rate that can be measured. If we observe an hourglass with the sand still flowing, we can determine how long ago it was up-ended from the quantities of sand in both containers and the flow rate. Or can we? First, we must assume the same three things.
Assumption 1: The rate has stayed constant. For example, if the sand had become damp recently, it would flow more slowly now than in the past. If the flow were greater in the past, it would take less time for the sand to reach a certain level than it would if the sand had always flowed at the present rate.
Assumption 2: The system has remained closed. Suppose that, however, without your knowledge, sand had been added to the bottom container, or removed from the top container. Then if you calculated the time since the last up-ending by measuring the sand in both containers, it would be longer than the actual time.
Assumption 3: We know the quantities of sand in both containers at the start. Normally, an hourglass is up-ended when the top container is empty. But if this were not so, then it would take less time for the sand to fill the new bottom container to a particular level.
-The point is that radiometric dating is not the sure thing that it has been made out to be over the last century. There still remains a lot of research to do, but, as it currently stands, the accuracy of radiometric dating remains ambiguously suspect at best.
Today, secular geologists will allow for some catastrophic events into their thinking as an explanation for what they see in the rocks. But uniformitarian thinking is still widespread and secular geologists will seemingly never entertain the idea of the global catastrophic Flood of Noah's day.
Other uniformitarian methods:
Radiometric dating methods are not the only uniformitarian methods. Any radiometric dating model or other uniformitarian dating method can and does have problems. All uniformitarian dating methods make assumptions. If the assumptions are truly accurate, then uniformitarian dates should agree with radiometric dating across the board for the same event. However, radiometric dates often disagree with dates obtained from other uniformitarian dating methods for the age of the earth, such as the influx of salts into the ocean, the rate of decay of the earth's magnetic field, the growth rate of human population, etc.
Another uniformitarian method is the radiocarbon dating method. It is quite accurate in many applications for which the specimens are only a few thousand years old.
Here is how it works. The stratosphere above our earth is bombarded with cosmic rays from the sun, which converts the N14 in the stratosphere to radioactive carbon, or C14. This weak isotope is a part of our environment, and is absorbed by all living organisms along with another version of carbon, C12, which is not radioactive. As long as the organism is alive, the ratio of C12 to C14 in the organism is theoretically the same as that of the environment; that is, the organism is in balance with the environment.
Once the organism dies, there is not longer a carbon intake. The amount of C12 in the organism remains constant, but the radioactive C14 decomposes with a half life of 5730 years into nitrogen. Nitrogen is a gas, which leaves the organism. This means after 5730 years, there will only be half as much C14 as when the organism died. Thus, by measuring the ratio of C12 to C14, one can (at least theoretically) determine when the organism died.
For practical reality, however, this doesn't always work. Researchers testing the shell of a live clam showed this live clam had been dead for 300 years. Dried up seal-carcasses only thirty years old have tested as old as 4600 years. Fresh carcasses often date as old as 1300 years.