<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Subsets · Maximum Mathematics</title><link>https://maximummathematics.com/books/foundational-mathematics/set-theory/subsets/index.html</link><description>A set can contain a wide variety of objects. They can contain objects that most people interact with on a daily basis — automotive parts that can be used to service a 1967 Camaro, tools used to carve statues out of wood, or art supplies needed to paint a picture. Likewise, they can contain a wide variety of mathematical objects, like numbers, shapes, or axioms.
Sometimes, we only care about some of the objects in a set. For example, we may only be interested in automotive parts needed to service a car’s headlights, or we may only be interested in art supplies needed for a fresco painting. Regardless, we’re able to build a lot of structure by constructing new sets from old ones — simply by restricting what elements are included in the new set. Here, we explore this kind of relationship between sets.</description><generator>Hugo</generator><language>en-US</language><atom:link href="https://maximummathematics.com/books/foundational-mathematics/set-theory/subsets/index.xml" rel="self" type="application/rss+xml"/></channel></rss>