Gena,
Here's an answer to your question about the google.
There is no such thing as a highest possible number. No matter what number you have, there is always a larger one. (For example, you could always add 1 to your number to get a larger number).
What you are intending to ask is "what is the largest number that anyone has ever decided to give a specific name to?" It is very important to understand that this is a completely different question from the one you asked, because it is a question about human culture not about mathematics.
The largest number that has a commonly-known specific name is a "googleplex", which is a 1 followed by a googol zeros, where a "googol" is (a 1 followed by 100 zeros).
However, there would be nothing stopping you from giving a special name to a still larger number (such as a googleplex plus 1), and then that would become the largest named number once the term became commonly known.
In summary, then: the mathematical question "what is the highest possible number" has no answer, because there is no such thing. But the sociological question "what is the largest number that anyone has ever decided to give a specific name to, a name which has become commonly known" is, for now, a "googleplex" (until someone decides to coin a phrase for a still larger number and it catches on and becomes commonly known).
I hope that this helps. I am so excited that I can talk about some mathematics for a change. And yes the Fibonnaci series are exciting things to study. I am still doing wierd things.
Do you remember the million dollar problems that came out in 2000. I got one of them solved. I just as of yet have to take the higher mathematics to learn the langauge that I need to write the mathematical proof. I proved the problem using intuitive proof, it stinks that I have to wait a few more years before I can share the solution. I showed it to my advisor at school and after walking him through the problem, I remember him saying, congratulations you have a million dollars on the board. It will be about 4-5 years depending how much math I can take. I am teaching myself differential equations and that stuff.
I love mathematics, though the music department cannot understand why. They have tried to get me to give this up, but I refuse to so, becuase it is recess for me everytime I open my math book. Music vocation and passion, math is my hobby.
Those horses are a riot. David-Lee screams at them and tries to drool on them when I play them for him.
Sincerely,
Anne C. McGuire
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