Photo Journal

One man's adventure in photography, poetry, and thought.
© copyright Todd Alan Kraft 2011-2016 All rights reserved.
All characters appearing in this work are fictitious. Any resemblance to real persons, living or dead, is purely coincidental.
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Mathematics for Poets: The Snigglefort

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Mathematics for Poets: The Snigglefort

behold! behold! the snigglefort
the smallest of infinities
a hole in which to disappear
between uncountabilities

A photograph of rocks in the shallows of a lake.

Interesting things happen when we introduce the notion of an uncountable infinity to a system of counting such as mathematics. Consider the following simple subtraction:

  1.00000000000...0
- 0.99999999999...9
------------------------
   0.00000000000...1

By definition, an infinity of zeros followed by a one is not permissible, or can not exist. Take your pick. This cute "little" concept is one that Lewis Carroll might have loved, so let's call this "number" a snigglefort. No doubt, someone else has tripped over this concept, and my apologies if there is a "real" word for it. To sniggle is to fish for eels in holes; fort is an impenetrable place.

Homework: Prove, or disprove, that a snigglefort multiplied by infinity equals one.

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