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Note that the mere existence of these assumptions do not render the simpler dating methods entirely useless.

In many cases, there are independent cues (such as geologic setting or the chemistry of the specimen) which can suggest that such assumptions are entirely reasonable.

However, the methods must be used with care -- and one should be cautious about investing much confidence in the resulting age...

especially in absence of cross-checks by different methods, or if presented without sufficient information to judge the context in which it was obtained.

Each such age would match the result given by the isochron.

Gain or loss of In order to make the figures easy to read (and quick to draw), the examples in this paper include few data points.

There are minor differences between isotopes of the same element, and in relatively rare circumstances it is possible to obtain some amount of differentiation between them. The effect is almost always a very small departure from homogeneous distribution of the isotopes -- perhaps enough to introduce an error of 0.002 half-lives in a non-isochron age. but it is rare and the effect is not large enough to account for extremely old ages on supposedly young formations.) as minerals form.

This results in a range of X-values for the data points representing individual minerals.

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The amount of initial wouldn't change over time -- because it would have no parent atoms to produce daughter atoms.

It is not easily explained, in the general case, in any other way.

The data points would be expected to start out on a line if certain initial conditions were met.

Isochron methods avoid the problems which can potentially result from both of the above assumptions.

Isochron dating requires a fourth measurement to be taken, which is the amount of a different isotope of the same element as the daughter product of radioactive decay.

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