***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.

• This is kind of tricky - michaelev - September 11, 2003 - 20:45 UTC
  • Not in my opinion - yanniru - September 11, 2003 - 21:01 UTC
    • Clarification - michaelev - September 12, 2003 - 13:00 UTC
      • Good questions - yanniru - September 12, 2003 - 19:04 UTC
        • Good answers - michaelev - September 12, 2003 - 20:16 UTC
          • The electron does not necessarily HAVE zero size - sillyuniverse - September 12, 2003 - 20:26 UTC
          • Yes, electrons are just ideas! - doctordick - September 12, 2003 - 22:56 UTC
            • If you cannot show how math solves public policy problems - sillyuniverse - September 13, 2003 - 09:19 UTC
              • Speak of blowing smoke, - doctordick - September 13, 2003 - 22:04 UTC
                • Thee, Doctor, are forgiven for thy ignorance - carefuluniverse - September 14, 2003 - 04:22 UTC
        • size of an electron according to - sagefr0g - September 13, 2003 - 03:14 UTC
          • By the way....................... - dolphin - September 15, 2003 - 08:25 UTC
            • So you heard of Peter Lynds? - michaelev - September 15, 2003 - 13:25 UTC
              • yes...................... - dolphin - September 16, 2003 - 10:53 UTC
              • Thinking about Peter Lynds' paper - dolphin - September 17, 2003 - 06:33 UTC
• Zeno's logic - tholzel - September 12, 2003 - 14:15 UTC