Last Updated
：2025/11/20
Gödel's incompleteness theorem
Proper noun
Japanese Meaning
数学論理学における2つの定理の1つで、基本算術を含む任意の形式的公理体系が持つ固有の制限、すなわち完全性や一貫性の限界を示す定理。
（ plural ）
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(logic, mathematics) One of two theorems in mathematical logic that demonstrates the inherent limitations of every formal axiomatic system containing basic arithmetic.
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Gödel's incompleteness theorem
Even after decades of study, Gödel's incompleteness theorem continues to challenge mathematicians by showing that every sufficiently powerful formal system cannot prove all true statements about arithmetic.
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Even after decades of study, Gödel's incompleteness theorem continues to challenge mathematicians by showing that every sufficiently powerful formal system cannot prove all true statements about arithmetic.
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