最終更新日:2025/12/01

In his refinement of Gödel's argument, Rosser's trick constructs a sentence asserting that if it were provable then there would be a shorter proof of its negation, avoiding the need for ω-consistency.

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In his refinement of Gödel's argument, Rosser's trick constructs a sentence asserting that if it were provable then there would be a shorter proof of its negation, avoiding the need for ω-consistency.

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元となった例文

ゲーデルの議論を改良したロッサーの手法は、もしその文が証明可能であればその否定により短い証明が存在すると主張する文を構成し、ω整合性の仮定を不要にします。

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