Set Intersection { 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 and Philosophy online tutoring.

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. WTI offers immigration law course online - fully accredited. ACE credits online at EES.

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Set intersection

In set theory, the intersection of two sets is a set containing all elements that are members of both sets. The symbol, ∩, is used to indicate a set intersection.

For example, suppose that Γ and Δ are sets of formulae, as defined as:

The intersection Γ ∩ Δ is therefore the following set:

The intersection of two sets can be defined as follows:

Which means, for any x that is an element of Γ ∩ Δ, x is an element of Γ, and x is a member of Δ.