<?xml version="1.0" encoding="utf-8" standalone="yes"?><rss version="2.0" xmlns:atom="http://www.w3.org/2005/Atom"><channel><title>Sets · Maximum Mathematics</title><link>https://maximummathematics.com/books/foundational-mathematics/set-theory/sets/index.html</link><description>Trying to precisely define a set can be rather tricky. While there are formal definitions and axioms, here we will rely on our intuition. Even without a formal specification, we can still derive many useful results that hold up under scrutiny.
In this section, we’ll learn what a set is (intuitively), and how to describe what kinds of things are in a set.
Intuitively Defining a Set Sets, or collections, of objects abound in daily life. We could speak of the set of fruits available for purchase at a local grocery store, the set of birds native to North America, the set of components used to build a specific computer, the set of roads from New York to Los Angeles, and so on. We can make note of a couple of things here:</description><generator>Hugo</generator><language>en-US</language><atom:link href="https://maximummathematics.com/books/foundational-mathematics/set-theory/sets/index.xml" rel="self" type="application/rss+xml"/></channel></rss>