English Dictionary

extensionality

名詞

不可算名詞 通常

(philosophy) The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.

日本語の意味

対象の外部的（観察可能な）性質が同一であれば、内在的な性質や生成過程にかかわらず、同一とみなされるという哲学的原理

In her thesis, she argued that extensionality should guide our identity judgments, insisting that two systems are identical only when their observable properties match.

彼女は論文で、観察される性質が同じである場合に限り対象は等しいとする外延性の原理が私たちの同一性判断を導くべきだと主張した。

意味（1）

(philosophy) The principle that objects are equal if and only if their observed properties are the same, regardless of internal processes that lead to those properties.

意味（2）

(mathematics, functional analysis) The principle that functions are equal if and only if they operate on the same domain and for any given element of the domain the result of each of the functions is the same.

意味（3）

(mathematics, set theory) The principle, codified in the axiom of extensionality, that sets are equal if and only if they contain the same elements.

extensionalities （ plural ）