Class

A class, invented by Robert Munafo, is a special group of numbers determined by the way the human mind can perceive them. There are five classes: class 0, class 1, class 2, class 3, and class 4. Classes are similiar to superclasses.

Class-0 Numbers
Class-0 numbers are those that so simple, that they can easily be recognized in a very small amount of time. For most humans, these numbers range from 0 to 6.

Class-1 Numbers
Class-1 numbers are small enough to be possible to perceive as a group of objects, but are larger than class-0 numbers. In other words, if x is a class-1 number, it's possible to see x objects in a single scene. Class-0 numbers range from 7 to $$10^6$$ (one million), as it is difficult, but not impossible, to see a million dots in a single scene.

Class-2 Numbers
Class-2 numbers are small enough to be able to be exactly represented in decimal form, but are larger than class-1 numbers. Class-2 numbers begin at $$10^6 + 1$$ to $$10^{10^6}$$. This is simply a continuation of the pattern that can be seen in the relationship between class-0 and -1 numbers: the logarithm of a class-x number can be represented as a class-$$x - 1$$ number. Googol, therefore, is a number in this class, as 101 digits can be represented in decimal form.

Class-3 Numbers
Class-3 numbers can be approximately represented in scientific notation. They range from $$10^{10^6} + 1$$ to $$10^{10^{10^6}}$$, following the patterns of classes 0, 1, 2, and 3. Googolplex is a class-3 number.

Class-4 Numbers
Class-4 numbers have class-3 base-10 logarithms. They range from $$10^{10^{10^6}} + 1$$ to $$10^{10^{10^{10^6}}}$$.