Random assortment of Redstonepillager's googolisms

Any references to real-life people as mentioned in all eponymous constants mentioned here are purely incidental.

Class 0 (2)

Aalborg constant = 0.12 1232 123432 12345432 1234565432 123456765432 12345678765432 ... ... ... ...
Brentley's number = 10-1 + 10-1 + 10-2 + 10-3 + 10-5 + 10-8 + 10-13 + 10-21 + 10-34 + 10-55 + ... ... ... ... ... = 0.2110100100001......

Class 1

Class 2

Class 3

Class 4

Class 5

Tetration level

Up-arrow notation level

Linear omega level

Quadratic omega level

Polynomial omega level

Exponentiated linear omega level

Exponentiated polynomial omega level

Double exponentiated polynomial omega level

Triple exponentiated polynomial omega level

Iterated cantor normal form level

Epsilon level

Binary phi level

Bachmann's collapsing level

Higher computable level

Uncomputable numbers