proper class

Noun

(set theory) A class which is not a set.

Japanese Meaning

集合論において、集合ではないクラス

What is this buttons?

In Zermelo–Fraenkel set theory, the class of all ordinals is a proper class rather than a set.

Google Translation / DeepL Translation

ツェルメロ＝フレンケル集合論では、すべての順序数からなる類は集合ではない真類です。

Details

Sense（1）

(set theory) A class which is not a set.

Thus, what is required is not that all proper classes be the size of the class of all sets, but that every proper class has at least as many members in 𝛺ₚ as there are sets in 𝛺₂, whatever is in 𝛺₂.

Google Translation / DeepL Translation

Details

proper classes

（ plural ）

Details

proper class

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