Last Updated
：2025/12/04
Paris-Harrington theorem
Proper noun
Japanese Meaning
Paris-Harrington定理とは、数学的論理学における定理で、ラムゼー理論における有限ラムゼー定理の強化版という特定の組合せ原理が成り立つものの、その証明がペアノ算術では不可能であることを示した定理である。
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(mathematical logic) A theorem stating that a certain combinatorial principle in Ramsey theory, namely the strengthened finite Ramsey theorem, is true, but not provable in Peano arithmetic.
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Paris-Harrington theorem
Graduate students in mathematical logic debated whether the Paris-Harrington theorem demonstrates a natural example of a true but unprovable statement in Peano arithmetic.
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Graduate students in mathematical logic debated whether the Paris-Harrington theorem demonstrates a natural example of a true but unprovable statement in Peano arithmetic.
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