Post by Devantè on Oct 15, 2006 10:52:44 GMT -5
What is the biggest number you have heard of?
A billion, a trillion, a centillion?
A googol? A googolplex?
These numbers dwarf in comparison to Moser's.
And Moser's is no match for Graham's Number,
the number in the Guiness book of Records for
being the highest number to be used in a
mathematical proof.
But to understand these, you would have to
first know what is iteration in mathematics,
tetration, hypertetration etc.
The polygon notation, knuth's up-arrow notation etc. are too difficult to comprehend for a beginner. Search for these in any search engine, and look at the results. Don't worry if you cannot follow them.
It takes hours, days, months to understand them.
Even knuth's up-arrow notation is insufficient to express Graham's Number.
The best way to express Graham's Number is using JOHN CONWAY'S chained arrow notation.
It can be said using Conway's notation that Graham's number liest between two numbers, not exactly defining Graham's Number.
However, Graham's Number isn't acceptable to some mathematicians, saying his proof may well be untrue. Graham's Number is the outcome of Ramsay theory, and a pity, Ramsay is no more!
A billion, a trillion, a centillion?
A googol? A googolplex?
These numbers dwarf in comparison to Moser's.
And Moser's is no match for Graham's Number,
the number in the Guiness book of Records for
being the highest number to be used in a
mathematical proof.
But to understand these, you would have to
first know what is iteration in mathematics,
tetration, hypertetration etc.
The polygon notation, knuth's up-arrow notation etc. are too difficult to comprehend for a beginner. Search for these in any search engine, and look at the results. Don't worry if you cannot follow them.
It takes hours, days, months to understand them.
Even knuth's up-arrow notation is insufficient to express Graham's Number.
The best way to express Graham's Number is using JOHN CONWAY'S chained arrow notation.
It can be said using Conway's notation that Graham's number liest between two numbers, not exactly defining Graham's Number.
However, Graham's Number isn't acceptable to some mathematicians, saying his proof may well be untrue. Graham's Number is the outcome of Ramsay theory, and a pity, Ramsay is no more!