大數學 维基
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康托尔序数是\(\zeta_0\)。或者\(\sup_{n \in \mathbb{N}} \underbrace{\varepsilon_{\varepsilon_{\cdot_{\cdot_{\cdot_{\varepsilon_0}}}}}}_{n \textrm{个} \varepsilon}\),在Madore的ψ函数中。康托尔序数则是\(\psi(\Omega)\)或\(\psi(\psi(\psi(…\psi(0)…)))\)。康托尔序数也可写作\(\varphi(2,0)\)(凡勃倫函數[英語]) 。

基礎: 基數 · 普通函數 · 序符號 · 序數
理論: Presburger arithmetic · 皮亞諾算術 · 二階算術 · ZFC
可數序: \(\omega\) · \(\varepsilon_0\) · \(\zeta_0\) · \(\eta_0\) ·\(\Gamma_0\) · \(\varphi(1,0,0,0)\)(阿克曼序) · \(\psi_0(\Omega^{\Omega^{\omega}})\)(小凡勃倫序) · \(\psi_0(\Omega^{\Omega^{\Omega}})\)(大凡勃倫序) · \(\psi_0(\varepsilon_{\Omega + 1}) = \psi_0(\Omega_2)\)(巴赫曼-霍華德序) · \(\psi_0(\Omega_{\omega})\)(用布赫霍爾茨的\(\psi\)函數) · \(\psi_0(\varepsilon_{\Omega_\omega + 1})\)(塔克第-費佛曼-布克霍爾茲序) · \(\omega_1^\mathfrak{Ch}\) · \(\omega_1^\text{CK}\)(丘奇-克萊尼序) · \(\lambda,\zeta,\Sigma,\gamma\)
非可數基數: \(\omega_1\) · omega fixed point · inaccessible cardinal \(I\) · Mahlo cardinal \(M\) · weakly compact cardinal \(K\) · indescribable cardinal · rank-into-rank cardinal

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