The term "googolism" is used loosely on this wiki, but what qualifies exactly as a googolism?

Is *Graham's Number *a googolism? What about *eight-nonillion-nine-hundred-ninety-octillion-eight-hundred-seventy-four-septillion-three-hundred-eighty-nine-sextillion-seventy-nine-quintillion-eighty-seven-quadrillion-four-hundred-ninety-trillion-eight-hundred-fifty-seven-billion-nine-hundred-four-million-eight-hundred-twenty-nine-thousand-forty-seven*? How about *pi *or *e *? *one,two,three*? *zero*, *negative one*? *one* *half*? *googolminex*? *googolminex and one *? *the imaginary unit *?* *Box_M~ ? *Sam's Number* ? *Promaxima *? *TREE(3) *?

Is a googolism simply a number? If so then why does the wiki say *named numbers *are prefered? Aren't all integers *named *by their decimal expansions? If a googolism is a named number ... then aren't a *giggol *and a *hectalogue *the same googolism. What about *googolquinplex *and *googolquintiplex*?

Here is my answer: A *googolism *is a *number name*. In other words it's a specific name assigned to specific number. In it's most general sense then, even *pi *and *e *are googolism's because they are specific names created to provide a name for these specific irrational constants. When *Graham's Number *was defined, this was not a googolism, but when Gardner dubbed this number *Graham's Number *he was coining a googolism.

What makes a googolism distinct? Since a *googolism *is simply a *number+name *two googolism's are the same if and only if both the name and the number they represent are the same. So *giggol *and *hectalogue *are distinct googolism's. So are *great googol = *E1000 and *great googol *= E100##1#2. *googolquinplex *and *googolquintiplex *is debatable. I'd say we might include variations of spelling as the same googolism, but the alternate spellings may also be considered distinct. Certainly *googolduplex *and *googolplexian *are distinct.

There are some extreme cases to consider. *Promaxima, Sam's Number, *and *TREE(3), *as well as stuff like *one half, the square root of two, *and *the imaginary unit.* In the cases of *one half, square root of two, *and the *imaginary unit*, although these are specific names for specific numbers, we may restrict the domain of googolism's to only include positive integers. What about *Skewes' number *then? We might extend this then to *non-negative reals*. For numbers which don't have any names except mathematical expressions, we may not consider this a true *googolism. *A *googolism *is usually understood as a word which is a stand-in for a number or mathematical expression. The wiki, for example, does not consider *TREE(3)* a googolism as it is not an official entry. Is *Tree-Three *a googolism? Then there are numbers which are either difficult to define precisely or at all like *promaxima *or *Sam's Number*? Are these googolisms? I think we can agree that things like *many, a lot, few, several, *a *zillion, *etc. are not googolism's. These are *vague quantifiers*. They aren't intended to represent a specific quantity, only the vague idea of a quantity. So what about vaguely defined numbers? If the intention is to define a specific value it's a googolism.

This definition may appear too generous to some, and impractical for classification purposes here at *Googology Wiki. *What do you think? What defines a googolism? Is this wiki about collecting and organizing googolisms? If so what makes googolism's distinct?

I'm interested to hear what other people have to say on the subject.