There is a fast growing function whose totality is not provable in a subsystem of second order arithmetic called $\sf{ACA_0}$: the Paris-Harrington function. I would like to know the name (and the definition) of a cousin of it for the system $\sf{Z_2}.$
2026-03-29 14:07:13.1774793233
A fast growing functions in $\sf{ACA_0}$ and $\sf{Z_2}$
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