If Prof. Anderson can coin the axiom "nullity", I shall dare to coin The Resursive Definition of Infinity. All converse arguments given below are applicable for minus infinity.
"Infinity, on the Real number line, is a number that is greater than infinity"
PROOF:
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Think of any number on the Real number line.
If you can think of it, it cannot be greater than itself.
Therefore, only a number you cannot think of would be greater than
itslef. (Is this a limitation of the human mind? I wonder.) - (1)
But infinity is the only number on the number line that you cannot
think of.
Therefore, by (1), infinity is greater than itself.
Therefore, we have shown that the original definition of infinity we started off with is true.
Practical example of Recursive Infinity:
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When the barber holds a mirror at the back of your head, the reflected images in the two mirrors get smaller and smaller till they become infinitesimally small.
Practical use of Recursive Infinity:
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Recursive functions like the factorial function are infinity being put to practical use. Infinity isn't as useless as we thought it was.
Boy,
I think I've really done it this time. A tsunami in a teacup, to coin a new phrase.
The floor is open for discussion and this time I won't be
participating. I can do without the aggravation.
