Last Updated :2025/11/25

axiom scheme

Noun
Japanese Meaning
公理スキーム:ある公理体系の言語で記述された数式で、1つ以上のスキーム変数(任意の項や部分式を表す変数)が含まれており、これらの変数が一定の条件を満たす場合もある。
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算術を形式化するとき、帰納法のすべての実例を単一のメタ数学的な式にまとめるために、しばしば公理スキーマを導入する。

plural

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(logic) A formula in the language of an axiomatic system, in which one or more schematic variables appear, which stand for any term or subformula of the system, which may or may not be required to satisfy certain conditions.

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axiom scheme

When formalizing arithmetic, we often introduce an axiom scheme to capture all instances of induction in a single metamathematical formula.

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When formalizing arithmetic, we often introduce an axiom scheme to capture all instances of induction in a single metamathematical formula.

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