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A Logical Limit

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Posted by Richard Ruquist on September 11, 2003 20:27:34 UTC

***In physics, the smallest amount is the length of an electromagnetic wave - since he doesn't know anything smaller than that, a physicist cannot make any meaningful mathematical statement involving sizes smaller than a wavelength. Hence, Planck's constant! ***

I suspect that you mean the Planck scale at 10^^-33 cm.

Radio wavelengths are in meters. Surely, anybody knows about smaller sizes than meters.

But I prefer to address the following point from your post:

***Once you allow for fractions, it becomes impossible to state there's a logical limit to how much you can divide a quantity***

In mathematics, and in particular in calculus, the logical limit occurs when the change in the quantity after division does not change the accuracy of the solution. This also solves Zeno's problem. The logical limit occurs when nobody no longer cares.

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