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不完全性定理 (ふかんぜんせいていり) Japanese meaning | Kotomora

不ふ完かん全ぜん性せい定てい理り

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Meanings

1

noun

Gödel's incompleteness theorem

A technical term in mathematical logic. Refers specifically to Kurt Gödel's theorems about the inherent limitations of formal systems.

不ふ完かん全ぜん性せい定てい理りは、数すう学がく基き礎そ論ろんにおいて非ひ常じょうに重じゅう要ような結けっ果かです。
The incompleteness theorem is a very important result in the foundations of mathematics.

ゲーデルの不ふ完かん全ぜん性せい定てい理りについての講こう義ぎを受うけた。

I attended a lecture on Gödel's incompleteness theorem.

Kanji

不negative, non-, bad
完perfect, completion, end
全whole, entire, all
性sex, gender, nature
定determine, fix, establish
理logic, arrangement, reason

Similar words

完かん全ぜん性せい定てい理り
完全性定理 (completeness theorem) is a related concept in logic, often contrasted with 不完全性定理. While the completeness theorem states that every logically valid formula can be proved, the incompleteness theorem shows that there are true statements that cannot be proved within a given system.

Etymology

Compound of 不完全 (incomplete) + 性 (-ness) + 定理 (theorem). A direct translation of the English term 'incompleteness theorem', referring to Gödel's work.