## anonymous one year ago What are the symbols used in sets and what do they mean?

1. anonymous

refer a book on set theory.

2. zzr0ck3r

Let $$A$$ and $$B$$ be two sets with universal set $$U$$. $$A\subseteq B \implies \forall x\in A, x\in B$$ (everything in $$A$$ is in $$B$$) $$A\cup B := \{x\mid x\in A \vee x\in B\}$$ (All the stuff in both sets) $$A\cap B := \{x\mid x\in A \wedge x\in B\}$$ (only the stuff that is in both $$A$$ and $$B$$) $$A^C=U-C:= \{x\mid x\in U\vee x\notin A\}$$ (All the stuff that is not in $$A$$) $$\mathcal{P}(A)=\{S\mid S\subseteq A\}$$ (the set of all subsets of $$A$$)