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Diagonalizing over oodle theory
For sake of this, \(E\) is shorthand for \(E_0\). \(E\geq^*f_{\vartheta^\text{CK}(\Omega^\Omega)}\), with \(\vartheta^\text{CK}(\Omega^\alpha)\) enumerating the first ordinal that isn't reachable within \(\alpha\) arguments of the Church-Kleene fixed point hierarchy, if \(\alpha<\Omega\), and predicatively many arguments if \(\alpha=\Omega\), and the Church-Kleene fixed points are \(\text{Fix}^\text{CK}(\alpha,\beta,\cdots)\)-enumerated.
 * 1) \(E\) is an operator hierarchy, defined as:\(aEb\) is the largest finite ordinal expressible in \(a\) symbols in \(b\)th order oodle theory.
 * 2) And \(aE\)is\((...((aEa)E(aEa))E...E((aEa)E(aEa))...)E(...((aEa)E(aEa))E...E((aEa)E(aEa))...)\) with \(2^{aEa}\) parens and \(2^{aEa+1}\) operands in total.
 * 3) Define \(aE_\alpha\) as \(aE_{\alpha[\cdots[aE_{\alpha[a]}]}\) with \(aE_{\alpha[aE_\alpha[a]]}\) brackets, iff \(\alpha\) is limit.
 * 4) Define Omega Fixed Psi Oodles as \(10^{100}E_{\psi(\psi_I(0))}\).

Large \(n\)umbers
\(a_1=(10^{(10^{421290}+1)\cdot421290}+1)\cdot421290; a_{n+1}=10^{a_n}421290+421290\). This goes beyond class 5, but not tetration level. There're other names, like Kaliumillion for kalium.