What are the symbols used in sets and what do they mean?

Question

anonymous · Answer

refer a book on  set theory.

zzr0ck3r · Answer

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 $A$)