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數學的 (Sò͘-ha̍k-tek) (ê)師里 (su-lí) (mathematical logic) ()數學 (sò͘-ha̍k)的1 (ki)分支 (hun-ki)專途 (choan-tô͘) (leh)研究 (gián-kiù) (kap)形式 (hêng-sek)系統 (hē-thóng) (formal system) (ū)底代 (tī-tāi)觀念 (koan-liām) (khoàⁿ)這寡 (chit-koá)直覺 (ti̍t-kak)概念 (khài-liām)可比 (khó-pí) (kóng)集合 (chi̍p-ha̍p)數目 (sò͘-ba̍k)證明 (chèng-bêng)計算 (kè-sǹg) (computation) 等等 (téng-téng) (beh)早樣 (chái-iūⁿ) (lâi)表達 (piáu-ta̍t) (Khah) (chia̍p)用著 (ēng--tio̍h)理論 (lí-lūn)模型論 (bô͘-hêng-lūn) (model theory),證明論 (chèng-bêng-lūn) (proof theory),集合論 (chi̍p-ha̍p-lūn) (ham)第回論 (tē-hoê-lūn) (recursion theory)。數學的 (Sò͘-ha̍k-te̍k)羅則 (lô-chek) (tùi)研究數學 (ê)基層 (ki-chân) (foundations of mathematics) (chin)重要 (tiōng-iàu)