completeness theorem 完全性定理 ; 完备性定理 ; 性定理 ; 完备性定理的 holomorphic completeness 全纯完全性 ; 全纯完备性 ..
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哥德尔不完备性定理抽走了数学家的逻辑美信仰，数学界出现了信仰危机。
Godel theorem made mathematicians lose their belief of logic beauty, the crisis of belief appeared in mathematical field.
利用中介逻辑的完备性，本文证明了紧致性定理，即一理论有模型当且仅当其任一有穷子集有模型。
The compact theorem is proved, which states that theory T has model if and only if any finite subset of T has model.
之后，美籍逻辑学家歌德尔一阶谓词演算的完备性定理，这标志着现代逻辑基础部分的完成。
After this, American Logician Kurt Godel proved the completeness theory of predicate calculus. This means the completion of the base of Modern Logic.
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