https://phasewalk.xyz/ Recent content on phasewalk Hugo en-us Wed, 28 Aug 2024 00:00:00 +0000 https://phasewalk.xyz/posts/set-theory/ Wed, 28 Aug 2024 00:00:00 +0000 https://phasewalk.xyz/posts/set-theory/ <p>Sets are one of the most fundamental building blocks in mathematics. <strong>Set Theory</strong> is the study of <em>sets</em> of objects, and the relationships between them. For example, $$ \{1,2,3\} $$ is the set of the numbers $1$, $2$, and $3$. The curly braces $\{\}$ are used to denote a set, and the elements of the set are listed inside, separated by commas. And while we did put numbers in this set, we could&rsquo;ve put anything we wanted, like symbols: $$ \{\lambda,\star,\square,\Sigma\} $$</p>