User blog:B1mb0w/J Function Sandpit J 2

The \(J_2\) function is a cleaner and more successful version of the \(J_0\) function. It uses one real number "r" as an input parameter. The function can then produce effectively every ordinal up to \(\epsilon_0\) in order of increasing size. This makes for a useful function for referencing some very large numbers which otherwise need complex notation that is difficult to read or understand.

Principles used to achieve this are: