User blog:Edwin Shade/The Quicksilver Hierarchy

$$\alpha$$ is a successor ordinal, $$\beta$$ is a limit ordinal.

$${Q_{0}}^{m}(n)=n+m$$

$${Q_{\alpha}}(n)={Q_{\alpha -1}}^{{Q_{\alpha -1}(n)}(n)$$

$${Q_{\beta}}(n)={Q_{\beta [n]}}^{Q_{\beta [n]}(n)}(n)$$