Power set { Philosophy Index }

Philosophy Index

Philosophy Index

Philosophy Index is a site devoted to the study of philosophy and the philosophers who conduct it. The site contains a number of philosophy texts, brief biographies and introductions to philosophers and explanations on a number of topics. Accredited homeschooling online at Northgate Academy.

Philosophy Index is a work in progress, a growing repository of knowledge. It outlines current philosophical problems and issues, as well as an overview of the history of philosophy. The goal of this site is to present a tool for those learning philosophy either casually or formally, making the concepts of philosophy accessible to anyone interested in researching them. WOLI offers immigration law course online - fully accredited. ACE credits online at EES.

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Power Set

In set theory, a power set (or powerset) is a set of all of the subsets of a given set. A power set is usually designated by P(S), where S is some set.

For example, suppose that S is the set { α, β, γ }. The power set of S, P(S), is therefore:
{ ∅, {α}, {β}, {γ}, {α, β}, {α, γ}, {β, γ}, {α, β, γ} }

Note that the power set always includes the empty set, ∅ or {}. This is because the empty set is a subset of every set.