Is infinitely big inversely equal to infinitely small?

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Offline thedoc

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Ernest Kahn  asked the Naked Scientists:
Hi Chris,
I listen to 702 on Fridays.
My question is; is infinitely big inversely equal to infinitely small ? (in terms of the outer universe v the small particles )
Ernest Kahn
JHB, South Africa

What do you think?
« Last Edit: 13/07/2012 22:30:01 by _system »


Offline Soul Surfer

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Re: Is infinitely big inversely equal to infinitely small?
« Reply #1 on: 13/07/2012 23:37:30 »
The concept of infinitely anything is strictly only a mathematical concept and cannot relate to the observable physical world.  Using it for physical situations creates all sorts of pointless paradoxes.  Indefinitely large and negligibly small are probably the best terms to use in many cases.

Whilst I agree that reciprocal relationships (that is relationships where as one thing grows another gets smaller) are extremely important in physical science.  Taking them to the mathematical limit does not in general add anything to an extreme non limiting case.

reciprocal relationships are a very interesting case of an equation, where the product of two parameters equals a constant
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