equal
deleted
inserted
replaced
130 \[ |
130 \[ |
131 \{1, 2, 3\} |
131 \{1, 2, 3\} |
132 \] |
132 \] |
133 |
133 |
134 \noindent The notation $\in$ means \emph{element of}, so $1 |
134 \noindent The notation $\in$ means \emph{element of}, so $1 |
135 \in \{1, 2, 3\}$ is true and $3 \in \{1, 2, 3\}$ is false. |
135 \in \{1, 2, 3\}$ is true and $4 \in \{1, 2, 3\}$ is false. |
136 Sets can potentially have infinitely many elements. For |
136 Sets can potentially have infinitely many elements. For |
137 example the set of all natural numbers $\{0, 1, 2, \ldots\}$ |
137 example the set of all natural numbers $\{0, 1, 2, \ldots\}$ |
138 is infinite. This set is often also abbreviated as |
138 is infinite. This set is often also abbreviated as |
139 $\mathbb{N}$. We can define sets by giving all elements, for |
139 $\mathbb{N}$. We can define sets by giving all elements, for |
140 example $\{0, 1\}$, but also by \defn{set comprehensions}. For |
140 example $\{0, 1\}$, but also by \defn{set comprehensions}. For |