User blog comment:Alemagno12/Guesses for the growth rate of TON/@comment-30118230-20180129181046

Here is the real comparison for ordinals x in $$C(\Omega_2 2+x,0)$$: Let $$a=C(\Omega_2 2,0)$$ and $$b=C(\Omega_2,a)$$ $$C(\Omega_2+a,C(\Omega_2+a,0))$$ corresponds to $$\psi_I(1)$$ $$C(\Omega_2+a+1,0)$$ corresponds to $$\psi_I(\omega)$$ $$C(\Omega_2+a2,0)$$ corresponds to $$\psi_I(I)$$ $$C(\Omega_2 2,0)$$ in $$C(\Omega_2+\text{___},0)$$ corresponds to the inaccessible cardinal in $$\psi_I$$ $$C(\Omega_2+b,0)$$ corresponds to $$\varepsilon_{I+1}$$ but in the grand scheme of things it corresponds to I itself. $$C(\Omega_2+b2,0)$$ corresponds to $$I(1,0)$$ $$C(\Omega_2+b^2,0)$$ corresponds to the recursively Mahlo. $$C(\Omega_2+b^\alpha,0)$$ corresponds to $$\Xi(\alpha,0)$$ $$C(\Omega_2+b^b,0)$$ corresponds to the recursively Compact. $$C(\Omega_2+b^{b^n})$$ corresponds to the $$\Pi_{n+2}$$-reflecting cardinals and so on.