Introduction[]
Pseudo-Ineffable Limit (PIL) is the first number created by Goodels after his 4 month break. The number is an attempt to beat other numbers that were made during the break.
Pre-knowledge[]
First, we have to introduce the ideas of thought levels. This idea was originated by Serge. Omnicollapse has a definition of these levels. this concept of levels can be extended through level 4, 5, 6.... each level being completely inacessible to the one below.
Next I will define the idea of "systems", systems are ways of creating abstract ideas of scale. For example, hypergoogology is a system in which we can make abstract ideas of scale, existence itself is a system in which we can make abstract ideas of size, in fact even the human brain can be thought of as a system. Systems can even exist past our reality.
Definition[]
Sub-PIL(1) can be described as the level 2 collapse of the limit of definitions in the omni-system on level 3, Sub-PIL(2) can be described as Sub-PIL(1) existing on level 3 and then collapsed to level 2 and so on.
PIL is described as the complete limit of the function Sub-PIL().