LATENT REFERENCES / TAG2
Gödel's Incompleteness Theorems
Original title: ゲーデルの不完全性定理
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Gödel's incompleteness theorems, or the incompleteness theorems, are important fundamental theorems in mathematical foundations and computer science. Strictly, they concern “formalized mathematics,” rather than “mathematics” itself. Proved by Kurt Gödel in a 1931 paper, they show that a proof of the consistency of natural-number theory cannot be established from a finitist standpoint.
ゲーデルの不完全性定理または不完全性定理とは、数学基礎論とコンピュータ科学の重要な基本定理。 不完全性定理は厳密には「数学」そのものについての定理ではなく、「形式化された数学」についての定理である。クルト・ゲーデルが1931年の論文で証明した定理であり、有限の立場では自然数論の無矛盾性の証明が成立しないことを示す。
Source updated 2024-01-29 · Snapshot 2026-10-08
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Cosine values measure shared lexical features, not truth, agreement or identical meaning. Original reference links are labeled separately.
- Gödel MachineComputed lexical cosine similarity 0.117 · shared title, text, tags and references
- YodelComputed lexical cosine similarity 0.091 · shared title, text, tags and references
- Pythagorean TheoremComputed lexical cosine similarity 0.086 · shared title, text, tags and references
- Self-ReferenceComputed lexical cosine similarity 0.085 · shared title, text, tags and references