power set

幂集

Foundations & Logic · Undergraduate · Mathematics Resources editorial compilation (AI-assisted)

Translation evidence: Literature usage

Meaning in context

The set of every subset of a given set A.

由给定集合 A 的全部子集组成的集合。

Example

P({2})={∅,{2}}\mathcal P(\{2\})=\{\emptyset,\{2\}\}.

Usage and distinctions

Members of a power set are subsets, rather than necessarily members, of A.

Recommended reading in this subject · Preparation & skip guidance

Definition sources

  1. Avigad, Hua, Lewis and van Doorn — Logic and Proof§11.1 Elementary Set Theory; §11.4 Cartesian Product and Power Set · Checked 2026-10-14

Translation sources

  1. 李文威 — 代数学方法，第一卷（作者源码）第1章「ZFC 公理一览」 · Checked 2026-10-14
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