23 March, 2009

On Borel's Paradox

Given the fact that mathematics consider real numbers as first class citizens even thought they are as real as the pot of gold in the rainbow's end. It tends to surprise me when the mere act of taging a real with a property, automagicaly makes this number known, ours,  a property, a pot of gold.
And so we kept on giving names/tags in things we have never seen, never fully comprehend, but only known by their properties - never let a mathematician ever claim he is an atheist -
In this light let us and introduce a new number that is as real as pi but more true to it's name. And so with no further ado welcome the number

Ty

The all potent harlequin number, that in any property we can classify numbers, Ty's properties are all random.
Can this be? is it a real number? you may ask? I am afraid that the answer here is random.
Ok how big is it? randomly
Is it an integer? randomly
Is it positive? randomly

Wait you would say how can a number be randomly positive and randomly negative? I can come up with infinite contradictions that nullify the propability in Ty's existance. Ah but you see Ty is random therefore:
Ty!=Ty,  is true

Every time you reference Ty you get a new number, it is elusive by construction. Ty's value has value for only one instance and once used cannot be reused.

So have fun with it, I guess the place to start would be "What is the propability density of Ty x property?"

Hail Tychea All Hail Randomnia