User blog:Nayuta Ito/The Devil's Dictionary in Googology

Badly defined
See "ill-defined"

Bashicu matrix system

 * 1) The most doubtful and strong system ever.

Busy beaver

 * 1) What computers can't do.

Fish number

 * 1) Did you mean: Fish number 1
 * 2) Did you mean: Fish number 2
 * 3) Did you mean: Fish number 3
 * 4) Did you mean: Fish number 4
 * 5) Did you mean: Fish number 5
 * 6) Did you mean: Fish number 6
 * 7) Did you mean: Fish number 7

Googolplex

 * 1) The smallest googologism.
 * 2) The biggest googologism.

Graham's number

 * 1) The biggest number ever.
 * 2) Just a small number.

Ill-defined
See "badly defined"

Infinity

 * 1) What googologists hate the most.
 * 2) What googologists love the most.

Oracle

 * 1) A magic which can get any value of any notation.

Peano arithmetic

 * 1) Another way of saying ε_0.

Thousand

 * 1) Another way of saying zerillion in short scale.
 * 2) Another way of saying halfillion in long scale.

Turing machine

 * 1) The only programming language in googology.
 * 2) The most powerful calculator ever existed.

Zillion

 * 1) A number bounded by 10^10^6.

ε_0

 * 1) Another way of saying ωω.

φ(ω,0)

 * 1) A milestone which nobody cares about.

ψ

 * 1) (used for any ordinal collapsing function)

ω

 * 1) Another way of saying infinity.
 * 2) Another way of saying the set of all natural numbers.

ω+1

 * 1) Infinity plus one.
 * 2) The size of Graham's number, which is of course finite.

Ω

 * 1) Infinity of infinities.