The Infinitely Growing Ordinal is a number with a simple definition, x > x. This means that the number, if reached, will still grow. Due to the Terminus loop, this number can technically collapse. This number is larger than the Self-Collapsing Ordinal (ΦSC) since ΦSC can be satisfied with x+1.
This number is proven to be smaller than Absility due to being accessible through sets, proof of this would be with the map {1,1}{2,2}{3,3}{4,4}...{ξ-1,ξ} showing every comparison of numbers up to IGO.